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CARACTERISTICAS FISICAS Y PARAMETROS DE LA
CUENCA MANTOREAL
Cuadro N° 01
ÍTEM DESCRIPCION UNIDAD VARIABLE PARAMETRO
01. UBICACIÓN
m Este (X) 760,250.70
m Norte (Y) 8,594,415.33
gº m' s'' Latitud S 12º42'13.90"
gº m' s'' Longitud W 72º36'12.69"
02. AREA Y PERIMETRO DE LA CUENCA
Area de la Cuenca Km2
AT 31.747
Perímetro de la Cuenca Km P 29.668
03. FRECUENCIA DE ALTITUDES
Altitud Media de la Cuenca m.s.n.m. ZMedia 2,518.272
Altitud mas Frecuente m.s.n.m. ZFrec. 2,850.000
Altitud de Frecuencia Media m.s.n.m. ZFrec.Media 2,263.128
% de Área para la Altitud más Frecuente % 4.04%
Desnivel de la Cuenca Km D HC 2.363
04. INDICES REPRESENTATIVOS
Factor de Forma F 0.416
Indice de Compacidad o Indice de Gravelious: K 1.485
05. RECTANGULO EQUIVALENTE
Largo Equivalente Km L 12.381
Ancho Equivalente Km B 2.564
06. INDICE DE PENDIENTE
Índice de Pendiente Ip 0.407
07. PENDIENTE DE LA CUENCA
Criterio del Rectangulo Equivalente Km/Km SC.1 0.191
Criterio de Alvord Km/Km SC.2 0.661
Pendiente de la Cuenca Km/Km SC 0.661
08. PERFIL LONGITUDINAL DEL CAUCE PRINCIPAL
Longitud del Cauce Principal Km LRIO 14.145
Desnivel del Cauce Principal Km D HRIO 1.913
Longitud al Centroide Km LCG 7.870
09. PENDIENTE DEL CAUCE PRINCIPAL
Metodo I : Pendiente Uniforme Km/Km SRÍO.1 0.135
Metodo II : Ecuacion de Taylor y Schwarz Km/Km SRÍO.2 0.050
Metodo III : Criterio de Nash Km/Km SRÍO.3 0.675
Pendiente del Cauce Principal Km/Km SRÍO 0.135
10. RED DE DRENAJE
Orden de las Corrientes 2.000
Longitud de los Tributarios Km 16.040
Densidad de Corriente Dc 0.094
Densidad de Drenaje Km/Km² Dd 0.505
11. CURVA HIPSOMETRICA 12. POLÍGONO DE FRECUENCIAS
13. PERFIL LONGITUDINAL DEL CAUCE PRINCIPAL 14. CUENCA
Centro de Gravedad de la Cuenca
Coordenadas
800
1,200
1,600
2,000
2,400
2,800
3,200
0 4 8 12 16 20 24 28 32
Altitud
(m.s.n.m.)
Area (Km²)
Curva Hipsométrica
0% 1% 2% 3% 4% 5%
887
1,000
1,125
1,250
1,375
1,500
1,625
1,750
1,875
2,000
2,125
2,250
2,375
2,500
2,625
2,750
2,875
3,000
3,125
3,250
% De Area entre cotas
Altitud
(m.s.n.m.)
Poligono de Frecuencias
800
1,000
1,200
1,400
1,600
1,800
2,000
2,200
2,400
2,600
2,800
3,000
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Altitud
(m.s.n.m.)
Longitud (Km)
Perfil Longitudinal del Cauce Principal
Estacion : QUILLABAMBA Latitud : 12º51'21'' S : Cusco
Tipo : CP-606 Longitud : 72º41'30'' W : La Convención
Altitud : 990.00 msnm : Santa Ana
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963
2 1964 27.70 21.00 48.00 89.00 185.70
3 1965 119.00 177.00 195.00 102.00 4.00 2.00 46.40 18.40 119.90 115.10 74.40 183.00 1,156.20
4 1966 94.20 140.20 96.80 21.70 49.20 5.50 14.70 13.30 39.40 136.60 112.40 132.10 856.10
5 1967 97.60 124.00 211.60 34.00 17.20 16.60 51.30 31.20 45.80 83.90 62.50 119.70 895.40
6 1968 224.70 168.10 153.00 60.20 8.80 4.10 25.60 50.60 37.80 76.80 116.40 132.30 1,058.40
7 1969 149.00 100.40 153.70 103.00 47.20 72.30 14.00 9.20 34.90 53.50 110.30 143.50 991.00
8 1970 207.70 63.80 202.30 116.60 60.30 23.50 20.40 8.60 36.30 86.20 57.40 205.20 1,088.30
9 1971 151.50 187.20 123.30 58.00 35.30 56.70 2.50 12.00 72.10 45.70 70.40 86.80 901.50
10 1972 185.60 137.50 126.40 51.80 27.40 5.70 7.60 84.20 24.90 40.20 158.10 136.70 986.10
11 1973 206.90 162.00 149.80 123.00 52.10 12.60 37.20 62.80 57.90 84.40 140.60 222.70 1,312.00
12 1974 185.10 191.90 88.00 120.90 10.20 11.90 26.60 67.30 28.70 50.90 39.90 64.30 885.70
13 1975 122.70 207.00 131.90 66.40 45.00 20.80 14.80 22.80 71.80 68.30 102.10 191.00 1,064.60
14 1976 201.60 194.40 110.20 94.30 25.30 4.00 3.80 61.30 120.70 26.70 26.30 125.00 993.60
15 1977 127.90 195.70 151.50 32.20 43.30 2.00 42.60 3.20 51.20 29.80 113.20 135.90 928.50
16 1978 277.70 103.90 127.00 68.40 88.70 11.10 0.00 0.00 0.00 96.70 63.80 228.50 1,065.80
17 1979 106.20 99.60 109.70 47.30 20.80 0.00 25.40 2.80 6.90 23.70 103.20 121.50 667.10
18 1980 125.60 169.50 175.40 84.80 26.20 10.40 47.30 30.70 53.60 119.40 51.10 47.10 941.10
19 1981 178.60 155.70 139.20 91.80 27.70 593.00
20 1982
21 1983
22 1984
23 1985
24 1986 187.00 249.60 436.60
25 1987 465.30 180.30 160.40 181.70 35.70 41.60 8.70 0.00 56.50 117.00 605.40 375.40 2,228.00
26 1988 430.00 534.70 594.50 435.60 139.20 0.00 0.00 0.00 160.00 117.00 140.90 330.50 2,882.40
27 1989 351.50 110.80 50.70 0.00 37.10 74.70 74.90 71.10 48.60 167.50 986.90
28 1990 436.60 235.50 191.50 74.00 140.80 220.30 19.70 65.00 127.90 246.10 232.30 202.70 2,192.40
29 1991 312.80 193.00 375.70 172.60 142.30 1,196.40
30 1992 107.50 111.40 171.90 103.50 494.30
31 1993
32 1994
33 1995
34 1996 149.60 206.80 103.00 76.70 36.20 6.50 8.60 37.30 40.80 71.20 86.90 75.20 898.80
35 1997 214.50 271.90 138.20 89.60 39.80 23.10 4.20 62.00 92.80 101.30 123.10 146.60 1,307.10
36 1998 171.50 152.40 244.90 90.50 4.20 6.00 0.00 1.80 88.10 107.20 59.00 173.50 1,099.10
37 1999 271.80 538.00 272.00 271.30 60.40 10.60 21.10 0.00 22.70 67.00 52.90 132.90 1,720.70
38 2000 315.40 243.70 180.40 74.20 20.10 56.30 1.40 37.20 35.30 50.30 34.70 85.00 1,134.00
39 2001 288.40 246.60 222.90 48.10 42.10 8.20 39.10 30.10 25.80 118.00 89.70 110.60 1,269.60
40 2002 119.20 195.40 200.20 45.30 32.40 15.60 69.30 71.90 36.00 89.00 108.50 219.90 1,202.70
41 2003 163.10 185.30 199.10 109.00 18.60 8.30 5.90 113.50 71.60 47.30 49.40 176.40 1,147.50
42 2004 179.70 153.40 125.70 83.80 43.00 19.70 59.40 44.30 55.10 122.80 119.60 94.60 1,101.10
43 2005 115.20 133.20 186.30 95.90 34.00 7.40 56.10 10.50 42.30 70.80 21.50 181.40 954.60
44 2006 173.90 157.00 196.80 121.10 7.60 28.90 4.50 28.20 17.80 98.90 102.00 189.40 1,126.10
45 2007 279.70 94.70 187.20 151.20 31.70 16.30 12.80 12.60 169.70 55.60 107.00 1,118.50
46 2008 241.40 162.50 153.90 85.10 14.20 1.80 13.00 19.20 36.60 135.90 92.50 108.60 1,064.70
47 2009 207.30 138.30 68.00 23.30 5.50 26.80 4.50 14.90 111.60 209.90 182.20 992.30
48 2010 121.70 236.30 263.90 59.30 20.80 21.80 15.70 23.70 33.30 188.20 77.70 151.60 1,214.00
49 2011 201.00 260.90 275.50 108.40 41.50 21.40 50.90 79.60 29.40 155.20 146.00 205.30 1,575.10
50 2012 193.60 114.70 108.20 37.20 18.50 20.40 78.90 76.80 239.80 888.10
51 2013 126.20 175.60 182.00 133.80 11.60 36.60 63.50 45.80 163.20 88.90 197.40 1,224.60
52 2014 318.80 157.50 153.70 75.30 115.00 0.00 44.20 16.30 45.90 37.50 77.40 182.70 1,224.30
53 2015 218.50 209.20 124.50 80.00 51.20 15.60 699.00
54 2016
55 2017
56 2018
41 41 43 43 41 39 38 39 39 40 40 42 45
204.32 190.74 184.97 100.68 40.00 21.30 23.61 33.58 51.00 93.03 107.21 161.72 1,109.98
93.04 92.18 89.30 68.60 31.50 36.73 19.31 29.10 35.15 47.88 93.65 66.16 454.76
45.54 48.33 48.28 68.14 78.75 172.45 81.78 86.66 68.92 51.47 87.35 40.91 40.97
465.30 538.00 594.50 435.60 140.80 220.30 69.30 113.50 160.00 246.10 605.40 375.40 2,882.40
94.20 63.80 88.00 21.70 4.00 0.00 0.00 0.00 0.00 23.70 21.50 47.10 185.70
Prec. 10% 323.60 308.92 299.45 188.63 80.38 68.39 48.37 70.89 96.06 154.41 227.27 246.54 176.08
Prec. 25% 267.12 252.97 245.24 146.99 61.26 46.09 36.64 53.23 74.72 125.35 170.42 206.38 140.54
Prec. 75% 141.51 128.52 124.69 54.38 18.74 -3.49 10.58 13.94 27.28 60.71 44.00 117.07 61.49
Prec. 90% 85.03 72.57 70.49 12.74 -0.38 -25.79 -1.14 -3.73 5.94 31.64 -12.85 76.91 25.95
FUENTE : SENAMHI
Cuadro N° 02
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
(mm)
Departamento
Provincia
Distrito
REGISTROS HISTÓRICOS
Prec. Max.
Prec. Min.
N° Datos
Media
Desv. Estandar
Coef. Variacion
0
100
200
300
400
500
600
700
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2015)
HISTOGRAMA
0
100
200
300
400
500
600
700
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
Estacion : QUEBRADA Latitud : 12º40'43.9" S Departamento : Cusco
Tipo : CO-654 Longitud : 72º16'42.5" W Provincia : Calca
Altitud : 1,205.00 msnm Distrito : Yanatile
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963
2 1964
3 1965
4 1966
5 1967
6 1968 116.50 202.00 278.50 120.50 82.00 100.00 105.00 68.50 53.30 92.00 147.00 100.00 1,465.30
7 1969 243.50 198.50 208.00 103.00 89.00 14.50 18.50 3.00 177.50 210.00 109.30 180.00 1,554.80
8 1970 139.50 171.50 60.30 51.00 56.00 6.50 22.00 70.00 61.50 187.50 156.50 199.50 1,181.80
9 1971 124.10 155.10 247.30 21.00 27.60 24.50 36.30 60.20 54.70 136.50 86.60 197.60 1,171.50
10 1972 269.40 53.00 177.70 32.90 82.30 2.60 36.10 27.50 23.50 6.90 106.10 84.40 902.40
11 1973 201.20 137.90 93.40 97.50 72.90 33.30 21.30 1.70 31.40 129.60 115.10 935.30
12 1974 175.00 178.40 109.20 211.40 24.70 29.00 1.60 0.50 55.10 126.50 911.40
13 1975
14 1976
15 1977
16 1978
17 1979
18 1980
19 1981
20 1982
21 1983
22 1984
23 1985
24 1986
25 1987
26 1988
27 1989
28 1990
29 1991
30 1992
31 1993
32 1994
33 1995
34 1996
35 1997
36 1998
37 1999 86.50 105.00 9.90 59.90 0.00 108.00 140.10 204.00 713.40
38 2000 226.70 201.20 217.10 56.10 21.40 59.00 30.20 33.20 52.20 48.80 53.20 141.00 1,140.10
39 2001 256.80 235.20 176.70 57.10 54.00 40.10 33.30 14.40 102.20 141.40 75.30 117.90 1,304.40
40 2002 303.20 202.80 159.40 79.20 52.20 31.70 82.30 36.30 56.50 256.90 140.20 280.60 1,681.30
41 2003 227.60 276.90 283.30 92.40 90.90 22.70 4.20 80.40 20.90 198.20 86.50 306.60 1,690.60
42 2004 373.30 194.10 187.50 143.10 27.70 21.50 57.60 68.30 52.30 123.70 232.80 135.00 1,616.90
43 2005 191.70 192.40 192.90 96.70 5.50 1.80 7.20 45.20 71.20 105.50 67.30 256.60 1,234.00
44 2006 336.70 295.60 208.30 126.00 52.80 15.30 43.10 36.20 215.80 219.10 281.30 1,830.20
45 2007 150.10 96.70 335.70 175.60 53.50 13.80 35.90 13.90 56.50 213.80 149.10 145.00 1,439.60
46 2008 284.10 124.50 172.90 126.20 37.00 4.80 11.10 8.80 76.70 222.50 135.90 145.20 1,349.70
47 2009 182.40 307.60 212.80 73.80 33.80 18.80 22.80 39.90 44.80 197.20 211.10 218.00 1,563.00
48 2010 322.20 164.80 273.60 123.80 24.70 17.40 19.20 43.50 38.80 191.90 83.20 126.10 1,429.20
49 2011 238.50 242.90 236.90 145.10 77.00 6.00 68.40 63.20 100.10 208.90 266.30 1,653.30
50 2012 138.50 329.50 115.40 156.10 70.00 38.20 20.30 16.90 29.20 112.20 126.50 262.60 1,415.40
51 2013 267.50 216.10 213.40 104.60 24.90 32.00 19.70 48.50 40.30 278.30 121.80 281.20 1,648.30
52 2014 270.10 242.90 328.80 89.50 100.90 3.90 25.90 18.20 65.30 112.00 139.70 168.20 1,565.40
53 2015 269.00 241.60 161.10 155.50 91.30 45.50 6.80 970.80
54 2016
55 2017
56 2018
23 23 23 24 23 24 24 23 21 23 21 22 24
230.77 202.66 202.18 105.19 56.71 26.26 31.70 35.01 60.42 153.30 129.38 191.46 1,348.67
70.84 66.27 70.45 45.86 29.70 22.55 25.80 25.38 34.14 71.46 48.29 68.74 302.71
30.70 32.70 34.85 43.60 52.38 85.85 81.36 72.50 56.51 46.61 37.32 35.90 22.45
373.30 329.50 335.70 211.40 105.00 100.00 105.00 80.40 177.50 278.30 232.80 306.60 1,830.20
116.50 53.00 60.30 21.00 5.50 1.80 1.60 0.00 20.90 6.90 53.20 84.40 713.40
Prec. 10% 321.58 287.62 292.51 163.99 94.79 55.17 64.77 67.55 104.19 244.91 191.28 279.59 180.66
Prec. 25% 278.58 247.40 249.74 136.15 76.76 41.48 49.12 52.14 83.46 201.54 161.97 237.87 151.35
Prec. 75% 182.95 157.93 154.63 74.24 36.66 11.04 14.29 17.88 37.37 105.06 96.78 145.06 86.16
Prec. 90% 139.95 117.70 111.86 46.40 18.63 -2.64 -1.37 2.47 16.65 61.69 67.47 103.33 56.85
FUENTE : SENAMHI
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS HISTÓRICOS
(mm)
Prec. Min.
Cuadro N° 03
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
0
100
200
300
400
500
600
700
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2015)
HISTOGRAMA
0
100
200
300
400
500
600
700
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
Estacion : MACHUPICCHU Latitud : 13º10'00'' S Departamento : Cusco
Tipo : CO-679 Longitud : 72º32'44' W Provincia : Urubamba
Altitud : 2,563.00 msnm Distrito : Aguas Calientes
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963
2 1964 48.40 24.00 22.80 53.70 70.80 58.10 108.20 215.80 601.80
3 1965 230.50 301.30 247.90 139.30 0.00 22.70 52.40 27.30 167.50 142.10 102.10 198.20 1,631.30
4 1966 242.30 271.70 148.40 58.00 28.10 2.20 23.10 30.00 37.00 171.20 225.00 247.70 1,484.70
5 1967 286.80 285.80 396.30 115.30 46.90 7.00 62.90 83.10 114.20 293.40 107.70 288.90 2,088.30
6 1968 350.40 399.10 353.10 107.10 31.00 30.30 132.40 80.60 65.40 196.90 313.30 209.80 2,269.40
7 1969 254.80 260.10 308.90 262.80 59.00 110.70 15.20 141.40 159.40 280.00 1,852.30
8 1970 328.80 287.70 268.40 108.10 27.80 79.20 34.00 107.80 160.00 117.80 283.20 1,802.80
9 1971 286.10 346.80 256.30 161.20 20.20 37.20 16.00 70.00 24.30 120.30 115.20 246.50 1,700.10
10 1972 381.10 226.70 343.70 172.40 62.80 2.20 31.80 94.10 91.90 117.60 262.30 262.90 2,049.50
11 1973 301.10 449.20 380.00 311.30 29.70 23.80 42.30 121.00 169.20 117.80 195.10 257.80 2,398.30
12 1974 257.50 355.80 213.90 257.70 19.50 26.60 64.70 126.30 102.00 177.90 79.20 142.30 1,823.40
13 1975 268.10 368.40 308.80 148.10 124.40 86.20 22.20 42.40 112.80 166.30 211.90 302.60 2,162.20
14 1976 276.20 260.20 399.30 935.70
15 1977 52.30 31.50 132.40 120.60 222.90 193.40 753.10
16 1978
17 1979
18 1980
19 1981
20 1982
21 1983
22 1984
23 1985
24 1986
25 1987
26 1988
27 1989
28 1990
29 1991
30 1992
31 1993
32 1994
33 1995
34 1996
35 1997
36 1998 32.70 176.80 152.90 212.40 574.80
37 1999 451.50 473.90 299.20 227.60 189.10 27.80 33.90 16.60 116.50 119.60 148.30 193.20 2,297.20
38 2000 395.40 339.50 265.10 207.20 75.30 132.20 36.00 125.20 142.50 183.50 113.20 191.60 2,206.70
39 2001 292.00 308.80 393.30 93.50 81.50 98.80 61.50 50.60 94.40 155.70 230.10 262.50 2,122.70
40 2002 212.70 358.50 359.50 282.80 43.10 65.20 144.10 50.70 121.50 231.40 193.50 364.50 2,427.50
41 2003 310.40 333.90 463.90 154.40 70.80 53.50 39.80 97.60 88.80 113.20 135.40 295.80 2,157.50
42 2004 385.60 320.20 213.20 159.60 78.80 43.70 145.90 92.50 70.40 141.40 143.20 225.80 2,020.30
43 2005 165.70 313.80 278.00 146.60 26.20 2.00 45.20 14.00 65.40 188.20 137.50 313.50 1,696.10
44 2006 335.60 215.00 381.20 211.60 35.00 105.00 36.50 48.70 44.10 157.20 204.30 260.30 2,034.50
45 2007 365.50 272.70 494.90 219.80 87.70 10.30 62.50 28.50 68.60 158.30 146.60 238.60 2,154.00
46 2008 397.30 224.50 232.50 97.40 75.90 19.70 15.20 87.60 22.10 189.70 158.80 209.80 1,730.50
47 2009 391.50 332.60 334.50 234.90 45.30 14.10 54.30 27.80 41.70 83.50 258.80 276.50 2,095.50
48 2010 408.00 328.10 502.50 210.40 44.20 37.30 19.10 46.50 42.80 229.20 118.10 328.20 2,314.40
49 2011 452.30 365.00 434.20 252.40 55.80 68.30 83.50 36.90 106.20 170.00 263.20 352.70 2,640.50
50 2012 332.40 407.50 390.20 204.50 84.80 43.60 68.00 29.30 82.30 175.10 108.30 517.20 2,443.20
51 2013 221.10 379.50 367.90 72.10 63.60 83.20 35.80 103.10 56.10 199.90 185.50 348.50 2,116.30
52 2014 481.30 221.20 232.70 149.40 106.20 13.30 51.00 53.40 108.80 1,417.30
53 2015
54 2016
55 2017
56 2018
27 28 28 27 28 28 29 28 29 29 29 29 31
323.45 323.16 331.68 182.44 62.19 43.53 53.43 60.82 86.21 160.56 169.58 266.21 1,871.03
81.30 66.19 88.70 68.01 38.68 36.49 35.67 34.16 40.37 46.96 59.74 72.59 536.06
25.13 20.48 26.74 37.28 62.19 83.84 66.75 56.16 46.83 29.25 35.23 27.27 28.65
481.30 473.90 502.50 311.30 189.10 132.20 145.90 126.30 169.20 293.40 313.30 517.20 2,640.50
165.70 215.00 148.40 58.00 0.00 2.00 15.20 14.00 22.10 58.10 79.20 142.30 574.80
Prec. 10% 427.68 408.03 445.40 269.63 111.78 90.31 99.16 104.61 137.97 220.77 246.17 359.27 243.40
Prec. 25% 378.33 367.85 391.56 228.34 88.30 68.16 77.51 83.88 113.46 192.26 209.91 315.21 209.56
Prec. 75% 268.58 278.48 271.81 136.53 36.08 18.89 29.36 37.77 58.96 128.86 129.25 217.22 134.32
Prec. 90% 219.23 238.30 217.96 95.25 12.61 -3.26 7.71 17.03 34.46 100.35 92.99 173.16 100.48
FUENTE : SENAMHI
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS HISTÓRICOS
(mm)
Prec. Min.
Cuadro N° 04
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
0
100
200
300
400
500
600
700
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2015)
HISTOGRAMA
0
100
200
300
400
500
600
700
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
Estacion : HUYRO Latitud : 13°40'01" S Departamento : Cusco
Tipo : CO-678 Longitud : 72°27'01" W Provincia : La Convención
Altitud : 1,700.00 msnm Distrito : Huyro
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963
2 1964 173.50 245.60 21.30 35.60 54.60 100.70 134.00 149.40 914.70
3 1965 243.00 291.00 384.00 188.60 40.00 16.00 128.00 135.00 141.00 407.00 1,973.60
4 1966 273.00 207.00 219.00 53.20 45.80 5.20 13.90 27.60 40.10 207.20 226.80 267.80 1,586.60
5 1967 307.70 359.80 395.90 166.80 38.60 20.50 29.80 45.90 51.80 202.30 132.40 266.70 2,018.20
6 1968 446.20 403.50 257.80 121.90 35.50 21.50 37.20 43.00 73.00 108.60 277.00 191.20 2,016.40
7 1969 266.20 313.10 255.90 211.90 146.00 84.60 21.40 13.10 70.30 156.30 225.80 251.10 2,015.70
8 1970 486.40 266.80 239.60 292.60 163.60 44.90 59.70 36.50 90.50 137.60 93.90 393.40 2,305.50
9 1971 376.90 516.40 278.40 129.20 48.70 46.00 7.80 20.00 46.80 97.80 120.90 288.10 1,977.00
10 1972 454.60 310.90 256.60 188.90 26.00 1.50 46.70 103.20 63.60 101.00 279.80 226.50 2,059.30
11 1973 410.70 386.60 331.80 275.80 80.30 20.00 28.40 64.30 97.80 141.40 140.60 242.40 2,220.10
12 1974 313.90 442.00 197.80 192.20 7.00 43.30 52.00 115.80 50.70 114.80 66.60 189.60 1,785.70
13 1975 268.60 356.70 195.30 169.80 68.70 34.70 22.20 62.90 84.30 76.90 75.60 158.20 1,573.90
14 1976 159.00 334.50 409.70 184.60 83.50 57.20 56.00 91.30 164.50 37.30 93.40 197.70 1,868.70
15 1977 310.50 461.70 356.80 101.70 85.60 0.10 36.20 23.10 90.50 122.60 290.40 175.30 2,054.50
16 1978 531.00 249.10 347.40 146.50 92.00 14.00 16.10 0.00 0.00 0.00 0.00 164.10 1,560.20
17 1979 212.10 220.30 316.30 117.20 9.00 0.00 29.00 17.20 63.10 53.30 115.20 147.30 1,300.00
18 1980 140.50 117.50 120.80 42.10 21.10 9.10 12.00 25.00 7.00 68.00 62.40 56.00 681.50
19 1981 138.90 153.30 155.00 193.90 7.00 0.00 0.00 648.10
20 1982
21 1983
22 1984
23 1985
24 1986
25 1987
26 1988
27 1989
28 1990
29 1991
30 1992
31 1993
32 1994
33 1995
34 1996
35 1997
36 1998
37 1999
38 2000
39 2001
40 2002
41 2003
42 2004
43 2005
44 2006
45 2007
46 2008
47 2009
48 2010
49 2011
50 2012
51 2013
52 2014
53 2015
54 2016
55 2017
56 2018
17 17 18 18 17 17 17 17 16 17 17 17 18
314.07 317.07 271.76 167.92 58.73 24.94 29.65 44.68 70.13 109.46 145.64 221.87 1,697.76
120.84 108.48 86.61 67.56 45.76 23.87 17.23 33.42 41.00 53.87 85.08 88.02 505.79
38.48 34.21 31.87 40.23 77.91 95.72 58.11 74.80 58.47 49.22 58.42 39.67 29.79
531.00 516.40 409.70 292.60 163.60 84.60 59.70 115.80 164.50 207.20 290.40 407.00 2,305.50
138.90 117.50 120.80 42.10 7.00 0.00 0.00 0.00 0.00 0.00 0.00 56.00 648.10
Prec. 10% 468.99 456.14 382.78 254.53 117.39 55.53 51.73 87.52 122.69 178.53 254.71 334.71 230.44
Prec. 25% 395.64 390.29 330.21 213.52 89.61 41.05 41.28 67.23 97.80 145.82 203.06 281.28 191.40
Prec. 75% 232.50 243.85 213.30 122.31 27.84 8.82 18.02 22.12 42.45 73.09 88.21 162.46 104.58
Prec. 90% 159.15 178.00 160.73 81.31 0.07 -5.66 7.56 1.84 17.56 40.39 36.56 109.03 65.55
FUENTE : SENAMHI
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS HISTÓRICOS
(mm)
Prec. Min.
Cuadro N° 05
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
0
100
200
300
400
500
600
700
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2015)
HISTOGRAMA
0
100
200
300
400
500
600
700
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
Estacion : QUILLABAMBA Latitud : 12º51'21'' S : Cusco
Tipo : CP-606 Longitud : 72º41'30'' W : La Convención
Altitud : 990.00 msnm : Santa Ana
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963 290.00 130.00 114.00 80.00 41.00 28.00 33.00 27.00 36.00 21.00 42.00 132.00 974.00
2 1964 152.00 187.00 172.00 157.00 26.00 4.00 1.00 28.00 21.00 48.00 29.00 89.00 914.00
3 1965 119.00 177.00 195.00 102.00 4.00 2.00 46.00 18.00 120.00 115.00 74.00 183.00 1,155.00
4 1966 94.00 140.00 97.00 22.00 49.00 5.00 15.00 13.00 39.00 137.00 112.00 132.00 855.00
5 1967 98.00 124.00 212.00 34.00 17.00 17.00 51.00 31.00 46.00 84.00 62.00 120.00 896.00
6 1968 225.00 168.00 153.00 60.00 9.00 4.00 26.00 51.00 38.00 77.00 116.00 132.00 1,059.00
7 1969 149.00 100.00 154.00 103.00 47.00 72.00 14.00 9.00 35.00 53.00 110.00 144.00 990.00
8 1970 208.00 64.00 202.00 117.00 60.00 24.00 20.00 9.00 36.00 86.00 57.00 205.00 1,088.00
9 1971 151.00 187.00 123.00 58.00 35.00 57.00 2.00 12.00 72.00 46.00 70.00 87.00 900.00
10 1972 186.00 137.00 126.00 52.00 27.00 6.00 8.00 84.00 25.00 40.00 158.00 137.00 986.00
11 1973 207.00 162.00 150.00 123.00 52.00 13.00 37.00 63.00 58.00 84.00 141.00 223.00 1,313.00
12 1974 185.00 192.00 88.00 121.00 10.00 12.00 27.00 67.00 29.00 51.00 40.00 64.00 886.00
13 1975 123.00 207.00 132.00 66.00 45.00 21.00 15.00 23.00 72.00 68.00 102.00 191.00 1,065.00
14 1976 202.00 194.00 110.00 94.00 25.00 4.00 4.00 61.00 121.00 27.00 26.00 125.00 993.00
15 1977 128.00 196.00 151.00 32.00 43.00 2.00 43.00 3.00 51.00 30.00 113.00 136.00 928.00
16 1978 278.00 104.00 127.00 68.00 89.00 11.00 0.00 0.00 0.00 97.00 64.00 229.00 1,067.00
17 1979 106.00 100.00 110.00 47.00 21.00 0.00 25.00 3.00 7.00 24.00 103.00 122.00 668.00
18 1980 126.00 169.00 175.00 85.00 26.00 10.00 47.00 31.00 54.00 119.00 51.00 47.00 940.00
19 1981 179.00 156.00 139.00 92.00 28.00 1.00 21.00 7.00 83.00 27.00 311.00 250.00 1,294.00
20 1982 183.00 243.00 235.00 65.00 43.00 27.00 69.00 10.00 71.00 56.00 111.00 191.00 1,304.00
21 1983 156.00 177.00 173.00 31.00 23.00 4.00 10.00 1.00 25.00 298.00 32.00 112.00 1,042.00
22 1984 117.00 129.00 155.00 73.00 14.00 22.00 1.00 15.00 74.00 93.00 96.00 156.00 945.00
23 1985 150.00 205.00 131.00 218.00 57.00 11.00 21.00 32.00 53.00 174.00 68.00 137.00 1,257.00
24 1986 109.00 287.00 142.00 68.00 46.00 10.00 43.00 1.00 50.00 72.00 187.00 250.00 1,265.00
25 1987 465.00 180.00 160.00 182.00 36.00 42.00 9.00 0.00 57.00 117.00 605.00 375.00 2,228.00
26 1988 430.00 535.00 595.00 436.00 139.00 0.00 0.00 0.00 160.00 117.00 141.00 331.00 2,884.00
27 1989 501.00 132.00 352.00 111.00 51.00 0.00 37.00 75.00 75.00 71.00 49.00 167.00 1,621.00
28 1990 437.00 235.00 191.00 74.00 141.00 220.00 20.00 65.00 128.00 246.00 232.00 203.00 2,192.00
29 1991 313.00 193.00 376.00 173.00 92.00 35.00 6.00 15.00 72.00 50.00 42.00 142.00 1,509.00
30 1992 108.00 111.00 172.00 103.00 10.00 53.00 38.00 3.00 69.00 74.00 41.00 130.00 912.00
31 1993 224.00 211.00 183.00 149.00 11.00 1.00 20.00 0.00 55.00 52.00 71.00 188.00 1,165.00
32 1994 147.00 126.00 166.00 86.00 117.00 18.00 25.00 62.00 51.00 109.00 156.00 211.00 1,274.00
33 1995 219.00 303.00 194.00 73.00 85.00 4.00 17.00 45.00 29.00 77.00 146.00 69.00 1,261.00
34 1996 150.00 207.00 103.00 77.00 36.00 6.00 9.00 37.00 41.00 71.00 87.00 75.00 899.00
35 1997 214.00 272.00 138.00 90.00 40.00 23.00 4.00 62.00 93.00 101.00 123.00 147.00 1,307.00
36 1998 172.00 152.00 245.00 90.00 4.00 6.00 0.00 2.00 88.00 107.00 59.00 173.00 1,098.00
37 1999 272.00 538.00 272.00 271.00 60.00 11.00 21.00 0.00 23.00 67.00 53.00 133.00 1,721.00
38 2000 315.00 244.00 180.00 74.00 20.00 56.00 1.00 37.00 35.00 50.00 35.00 85.00 1,132.00
39 2001 288.00 247.00 223.00 48.00 42.00 8.00 39.00 30.00 26.00 118.00 90.00 111.00 1,270.00
40 2002 119.00 195.00 200.00 45.00 32.00 16.00 69.00 72.00 36.00 89.00 108.00 220.00 1,201.00
41 2003 163.00 185.00 199.00 109.00 19.00 8.00 6.00 113.00 72.00 47.00 49.00 176.00 1,146.00
42 2004 180.00 153.00 126.00 84.00 43.00 20.00 59.00 44.00 55.00 123.00 120.00 95.00 1,102.00
43 2005 115.00 133.00 186.00 96.00 34.00 7.00 56.00 10.00 42.00 71.00 21.00 181.00 952.00
44 2006 174.00 157.00 197.00 121.00 8.00 29.00 5.00 28.00 18.00 99.00 102.00 189.00 1,127.00
45 2007 280.00 95.00 187.00 151.00 32.00 16.00 13.00 6.00 13.00 170.00 56.00 107.00 1,126.00
46 2008 241.00 162.00 154.00 85.00 14.00 2.00 13.00 19.00 37.00 136.00 92.00 109.00 1,064.00
47 2009 266.00 207.00 138.00 68.00 23.00 5.00 27.00 5.00 15.00 112.00 210.00 182.00 1,258.00
48 2010 122.00 236.00 264.00 59.00 21.00 22.00 16.00 24.00 33.00 188.00 78.00 152.00 1,215.00
49 2011 201.00 261.00 275.00 108.00 41.00 21.00 51.00 80.00 29.00 155.00 146.00 205.00 1,573.00
50 2012 194.00 186.00 115.00 108.00 37.00 50.00 19.00 20.00 39.00 79.00 77.00 240.00 1,164.00
51 2013 126.00 176.00 182.00 134.00 12.00 37.00 2.00 63.00 46.00 163.00 89.00 197.00 1,227.00
52 2014 319.00 157.00 154.00 75.00 115.00 0.00 44.00 16.00 46.00 38.00 77.00 183.00 1,224.00
53 2015 219.00 209.00 124.00 80.00 51.00 16.00 20.00 6.00 82.00 103.00 106.00 141.00 1,157.00
54 2016 192.00 224.00 326.00 79.00 23.00 10.00 55.00 9.00 21.00 167.00 148.00 149.00 1,403.00
55 2017 268.00 384.00 499.00 161.00 47.00 57.00 91.00 77.00 52.00 119.00 332.00 156.00 2,243.00
56 2018 162.00 108.00 117.00 101.00 38.00 9.00 6.00 0.00 11.00 60.00 59.00 161.00 832.00
56 56 56 56 56 56 56 56 56 56 56 56 56
205.66 193.73 188.55 101.23 41.27 20.98 24.59 29.00 51.16 94.16 108.48 160.30 1,219.13
93.44 87.97 92.64 64.78 31.28 32.14 20.99 28.03 31.54 54.09 92.37 61.10 391.30
45.44 45.41 49.13 63.99 75.80 153.17 85.37 96.64 61.65 57.45 85.14 38.11 32.10
501.00 538.00 595.00 436.00 141.00 220.00 91.00 113.00 160.00 298.00 605.00 375.00 2,884.00
94.00 64.00 88.00 22.00 4.00 0.00 0.00 0.00 0.00 21.00 21.00 47.00 668.00
Prec. 10% 325.46 306.52 307.31 184.28 81.37 62.18 51.50 64.93 91.59 163.51 226.90 238.63 175.35
Prec. 25% 268.74 253.11 251.08 144.96 62.38 42.68 38.76 47.92 72.45 130.67 170.83 201.54 140.43
Prec. 75% 142.59 134.35 126.02 57.51 20.15 -0.71 10.42 10.08 29.87 57.65 46.13 119.06 62.76
Prec. 90% 85.87 80.95 69.79 18.19 1.16 -20.22 -2.32 -6.93 10.73 24.82 -9.93 81.98 27.84
FUENTE : SENAMHI
Prec. Min.
Cuadro N° 06
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
Distrito
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS COMPLETADOS (SIH - HEC4)
(mm)
Departamento
Provincia
0
100
200
300
400
500
600
700
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2018)
HISTOGRAMA
0
100
200
300
400
500
600
700
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
Estacion : QUEBRADA Latitud : 12º40'43.9" S : Cusco
Tipo : CO-654 Longitud : 72º16'42.5" W : Calca
Altitud : 1,205.00 msnm : Yanatile
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963 164.00 289.00 80.00 120.00 67.00 44.00 57.00 7.00 68.00 200.00 93.00 217.00 1,406.00
2 1964 184.00 302.00 176.00 178.00 56.00 61.00 7.00 61.00 30.00 14.00 81.00 137.00 1,287.00
3 1965 249.00 231.00 266.00 75.00 34.00 5.00 15.00 15.00 106.00 119.00 113.00 230.00 1,458.00
4 1966 338.00 273.00 169.00 23.00 32.00 1.00 36.00 29.00 27.00 84.00 99.00 140.00 1,251.00
5 1967 152.00 260.00 304.00 95.00 34.00 24.00 2.00 41.00 26.00 241.00 169.00 165.00 1,513.00
6 1968 117.00 202.00 278.00 121.00 82.00 100.00 105.00 69.00 53.00 92.00 147.00 100.00 1,466.00
7 1969 244.00 198.00 208.00 103.00 89.00 15.00 18.00 3.00 177.00 210.00 109.00 180.00 1,554.00
8 1970 139.00 171.00 60.00 51.00 56.00 6.00 22.00 70.00 62.00 188.00 156.00 199.00 1,180.00
9 1971 124.00 155.00 247.00 21.00 28.00 24.00 36.00 60.00 55.00 137.00 87.00 198.00 1,172.00
10 1972 269.00 53.00 178.00 33.00 82.00 3.00 36.00 27.00 23.00 7.00 106.00 84.00 901.00
11 1973 201.00 138.00 93.00 98.00 73.00 33.00 21.00 2.00 84.00 31.00 130.00 115.00 1,019.00
12 1974 175.00 178.00 109.00 211.00 25.00 29.00 2.00 0.00 55.00 127.00 110.00 116.00 1,137.00
13 1975 197.00 252.00 70.00 127.00 76.00 56.00 22.00 2.00 106.00 84.00 252.00 215.00 1,459.00
14 1976 258.00 162.00 202.00 193.00 97.00 11.00 2.00 40.00 112.00 237.00 115.00 237.00 1,666.00
15 1977 293.00 143.00 102.00 55.00 43.00 1.00 28.00 8.00 76.00 69.00 29.00 165.00 1,012.00
16 1978 110.00 145.00 262.00 79.00 20.00 17.00 4.00 35.00 16.00 205.00 361.00 273.00 1,527.00
17 1979 250.00 198.00 177.00 105.00 23.00 13.00 26.00 10.00 75.00 247.00 196.00 162.00 1,482.00
18 1980 267.00 269.00 201.00 126.00 7.00 4.00 24.00 77.00 31.00 101.00 208.00 176.00 1,491.00
19 1981 305.00 203.00 208.00 85.00 28.00 2.00 30.00 15.00 69.00 227.00 165.00 208.00 1,545.00
20 1982 226.00 276.00 290.00 188.00 101.00 4.00 63.00 10.00 59.00 188.00 155.00 296.00 1,856.00
21 1983 260.00 212.00 191.00 29.00 27.00 15.00 87.00 28.00 30.00 178.00 91.00 89.00 1,237.00
22 1984 143.00 306.00 188.00 118.00 49.00 21.00 12.00 22.00 67.00 253.00 107.00 216.00 1,502.00
23 1985 174.00 291.00 90.00 88.00 21.00 20.00 77.00 114.00 15.00 63.00 49.00 155.00 1,157.00
24 1986 253.00 119.00 216.00 118.00 72.00 26.00 143.00 40.00 41.00 206.00 90.00 198.00 1,522.00
25 1987 227.00 165.00 209.00 156.00 55.00 6.00 56.00 2.00 106.00 102.00 181.00 397.00 1,662.00
26 1988 282.00 160.00 334.00 234.00 73.00 3.00 46.00 5.00 141.00 253.00 167.00 475.00 2,173.00
27 1989 242.00 97.00 197.00 185.00 41.00 0.00 8.00 72.00 36.00 231.00 199.00 340.00 1,648.00
28 1990 181.00 151.00 290.00 64.00 77.00 194.00 54.00 79.00 138.00 253.00 181.00 168.00 1,830.00
29 1991 328.00 221.00 275.00 164.00 69.00 79.00 46.00 27.00 52.00 119.00 106.00 111.00 1,597.00
30 1992 240.00 181.00 212.00 98.00 30.00 19.00 61.00 42.00 89.00 66.00 194.00 209.00 1,441.00
31 1993 233.00 137.00 265.00 105.00 1.00 2.00 14.00 5.00 118.00 68.00 79.00 181.00 1,208.00
32 1994 367.00 143.00 250.00 97.00 64.00 16.00 18.00 12.00 39.00 180.00 146.00 233.00 1,565.00
33 1995 394.00 168.00 291.00 52.00 98.00 20.00 25.00 29.00 41.00 173.00 157.00 137.00 1,585.00
34 1996 207.00 282.00 122.00 148.00 41.00 4.00 21.00 3.00 49.00 99.00 87.00 143.00 1,206.00
35 1997 135.00 265.00 207.00 116.00 19.00 32.00 9.00 4.00 116.00 250.00 139.00 187.00 1,479.00
36 1998 126.00 261.00 195.00 100.00 12.00 6.00 5.00 20.00 108.00 253.00 117.00 146.00 1,349.00
37 1999 322.00 170.00 172.00 86.00 105.00 10.00 60.00 0.00 78.00 108.00 140.00 204.00 1,455.00
38 2000 227.00 201.00 217.00 56.00 21.00 59.00 30.00 33.00 52.00 49.00 53.00 141.00 1,139.00
39 2001 257.00 235.00 177.00 57.00 54.00 40.00 33.00 14.00 102.00 141.00 75.00 118.00 1,303.00
40 2002 303.00 203.00 159.00 79.00 52.00 32.00 82.00 36.00 56.00 257.00 140.00 281.00 1,680.00
41 2003 228.00 277.00 283.00 92.00 91.00 23.00 4.00 80.00 21.00 198.00 87.00 307.00 1,691.00
42 2004 373.00 194.00 187.00 143.00 28.00 21.00 58.00 68.00 52.00 124.00 233.00 135.00 1,616.00
43 2005 192.00 192.00 193.00 97.00 5.00 2.00 7.00 45.00 71.00 105.00 67.00 257.00 1,233.00
44 2006 337.00 296.00 208.00 126.00 5.00 53.00 15.00 43.00 36.00 216.00 219.00 281.00 1,835.00
45 2007 150.00 97.00 336.00 176.00 53.00 14.00 36.00 14.00 56.00 214.00 149.00 145.00 1,440.00
46 2008 284.00 125.00 173.00 126.00 37.00 5.00 11.00 9.00 77.00 223.00 136.00 145.00 1,351.00
47 2009 182.00 308.00 213.00 74.00 34.00 19.00 23.00 40.00 45.00 197.00 211.00 218.00 1,564.00
48 2010 322.00 165.00 274.00 124.00 25.00 17.00 19.00 43.00 39.00 192.00 83.00 126.00 1,429.00
49 2011 238.00 243.00 237.00 145.00 77.00 6.00 68.00 63.00 100.00 209.00 137.00 266.00 1,789.00
50 2012 139.00 329.00 115.00 156.00 70.00 38.00 20.00 17.00 29.00 112.00 127.00 263.00 1,415.00
51 2013 267.00 216.00 213.00 105.00 25.00 32.00 20.00 48.00 40.00 278.00 122.00 281.00 1,647.00
52 2014 270.00 243.00 329.00 90.00 101.00 4.00 26.00 18.00 65.00 112.00 140.00 168.00 1,566.00
53 2015 269.00 242.00 161.00 155.00 91.00 46.00 7.00 6.00 78.00 193.00 206.00 144.00 1,598.00
54 2016 255.00 145.00 285.00 160.00 50.00 15.00 59.00 124.00 34.00 178.00 136.00 255.00 1,696.00
55 2017 184.00 159.00 243.00 116.00 50.00 16.00 52.00 18.00 42.00 125.00 206.00 169.00 1,380.00
56 2018 138.00 267.00 138.00 44.00 71.00 31.00 6.00 17.00 43.00 112.00 146.00 251.00 1,264.00
56 56 56 56 56 56 56 56 56 56 56 56 56
231.98 206.50 205.80 110.11 50.84 24.98 33.46 32.52 64.50 158.89 139.00 199.16 1,457.75
70.71 63.17 68.39 48.29 28.56 30.91 28.57 28.89 35.01 71.33 57.81 75.88 236.44
30.48 30.59 33.23 43.85 56.18 123.71 85.37 88.85 54.28 44.89 41.59 38.10 16.22
394.00 329.00 336.00 234.00 105.00 194.00 143.00 124.00 177.00 278.00 361.00 475.00 2,173.00
110.00 53.00 60.00 21.00 1.00 0.00 2.00 0.00 15.00 7.00 29.00 84.00 901.00
Prec. 10% 322.64 287.48 293.48 172.01 87.45 64.60 70.09 69.56 109.38 250.34 213.12 296.44 186.38
Prec. 25% 279.71 249.14 251.97 142.70 70.12 45.84 52.75 52.02 88.13 207.04 178.02 250.38 155.65
Prec. 75% 184.25 163.86 159.64 77.51 31.56 4.12 14.18 13.02 40.87 110.74 99.98 147.94 87.31
Prec. 90% 141.33 125.52 118.12 48.20 14.22 -14.64 -3.16 -4.52 19.62 67.45 64.88 101.88 56.58
FUENTE : SENAMHI
Prec. Min.
Cuadro N° 07
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
Distrito
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS COMPLETADOS (SIH - HEC4)
(mm)
Departamento
Provincia
0
100
200
300
400
500
600
700
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2011)
HISTOGRAMA
0
100
200
300
400
500
600
700
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
Estacion : MACHUPICCHU Latitud : 13º10'00'' S : Cusco
Tipo : CO-679 Longitud : 72º32'44' W : Urubamba
Altitud : 2,563.00 msnm : Aguas Calientes
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963 372.00 408.00 344.00 269.00 104.00 88.00 59.00 48.00 74.00 176.00 155.00 264.00 2,361.00
2 1964 329.00 297.00 212.00 236.00 48.00 24.00 23.00 54.00 71.00 58.00 108.00 216.00 1,676.00
3 1965 231.00 301.00 248.00 139.00 0.00 23.00 52.00 27.00 168.00 142.00 102.00 198.00 1,631.00
4 1966 242.00 272.00 148.00 58.00 28.00 2.00 23.00 30.00 37.00 171.00 225.00 248.00 1,484.00
5 1967 287.00 286.00 396.00 115.00 47.00 7.00 63.00 83.00 114.00 293.00 108.00 289.00 2,088.00
6 1968 350.00 399.00 353.00 107.00 31.00 30.00 132.00 81.00 65.00 197.00 313.00 210.00 2,268.00
7 1969 255.00 260.00 309.00 263.00 59.00 111.00 15.00 25.00 85.00 141.00 159.00 280.00 1,962.00
8 1970 329.00 329.00 288.00 268.00 108.00 28.00 79.00 34.00 108.00 160.00 118.00 283.00 2,132.00
9 1971 286.00 347.00 256.00 161.00 20.00 37.00 16.00 70.00 24.00 120.00 115.00 246.00 1,698.00
10 1972 381.00 227.00 344.00 172.00 63.00 2.00 32.00 94.00 92.00 118.00 262.00 263.00 2,050.00
11 1973 301.00 449.00 380.00 311.00 30.00 24.00 42.00 121.00 169.00 118.00 195.00 258.00 2,398.00
12 1974 257.00 356.00 214.00 258.00 19.00 27.00 65.00 126.00 102.00 178.00 79.00 142.00 1,823.00
13 1975 268.00 368.00 309.00 148.00 124.00 86.00 22.00 42.00 113.00 166.00 212.00 303.00 2,161.00
14 1976 276.00 260.00 399.00 215.00 106.00 48.00 73.00 55.00 137.00 202.00 139.00 379.00 2,289.00
15 1977 359.00 382.00 440.00 147.00 61.00 2.00 52.00 32.00 132.00 121.00 223.00 193.00 2,144.00
16 1978 324.00 220.00 396.00 95.00 105.00 17.00 14.00 12.00 37.00 132.00 95.00 383.00 1,830.00
17 1979 258.00 265.00 362.00 115.00 45.00 34.00 49.00 16.00 45.00 208.00 103.00 270.00 1,770.00
18 1980 236.00 251.00 252.00 65.00 37.00 4.00 23.00 32.00 52.00 140.00 144.00 304.00 1,540.00
19 1981 171.00 225.00 221.00 153.00 57.00 3.00 17.00 18.00 77.00 139.00 300.00 334.00 1,715.00
20 1982 321.00 314.00 314.00 139.00 104.00 16.00 55.00 32.00 41.00 222.00 184.00 358.00 2,100.00
21 1983 281.00 314.00 457.00 114.00 71.00 55.00 40.00 8.00 54.00 215.00 122.00 164.00 1,895.00
22 1984 241.00 328.00 357.00 129.00 59.00 33.00 27.00 48.00 95.00 203.00 119.00 226.00 1,865.00
23 1985 280.00 375.00 270.00 185.00 41.00 14.00 46.00 22.00 89.00 201.00 190.00 245.00 1,958.00
24 1986 260.00 326.00 297.00 143.00 36.00 23.00 102.00 47.00 24.00 243.00 231.00 380.00 2,112.00
25 1987 549.00 481.00 305.00 161.00 84.00 18.00 46.00 49.00 104.00 116.00 222.00 240.00 2,375.00
26 1988 391.00 332.00 582.00 227.00 106.00 39.00 29.00 39.00 130.00 214.00 191.00 412.00 2,692.00
27 1989 379.00 306.00 454.00 255.00 34.00 7.00 49.00 58.00 65.00 209.00 73.00 332.00 2,221.00
28 1990 570.00 370.00 330.00 144.00 88.00 234.00 100.00 42.00 89.00 193.00 241.00 271.00 2,672.00
29 1991 512.00 334.00 583.00 175.00 106.00 95.00 36.00 34.00 84.00 85.00 129.00 186.00 2,359.00
30 1992 274.00 261.00 356.00 168.00 106.00 16.00 33.00 28.00 106.00 116.00 109.00 258.00 1,831.00
31 1993 309.00 300.00 339.00 161.00 0.00 2.00 19.00 14.00 138.00 132.00 147.00 283.00 1,844.00
32 1994 328.00 281.00 197.00 139.00 72.00 110.00 54.00 77.00 116.00 186.00 197.00 314.00 2,071.00
33 1995 337.00 297.00 367.00 278.00 102.00 55.00 46.00 58.00 49.00 92.00 236.00 220.00 2,137.00
34 1996 182.00 243.00 252.00 169.00 26.00 19.00 29.00 26.00 162.00 127.00 177.00 273.00 1,685.00
35 1997 217.00 355.00 358.00 89.00 2.00 45.00 24.00 68.00 141.00 204.00 249.00 363.00 2,115.00
36 1998 329.00 296.00 393.00 239.00 3.00 8.00 25.00 53.00 33.00 177.00 153.00 212.00 1,921.00
37 1999 452.00 474.00 299.00 228.00 189.00 28.00 34.00 17.00 116.00 120.00 148.00 193.00 2,298.00
38 2000 395.00 339.00 265.00 207.00 75.00 132.00 36.00 125.00 143.00 183.00 113.00 192.00 2,205.00
39 2001 292.00 309.00 393.00 93.00 81.00 99.00 62.00 51.00 94.00 156.00 230.00 263.00 2,123.00
40 2002 213.00 359.00 359.00 283.00 43.00 65.00 144.00 51.00 121.00 231.00 194.00 365.00 2,428.00
41 2003 310.00 334.00 464.00 154.00 71.00 54.00 40.00 98.00 89.00 113.00 135.00 296.00 2,158.00
42 2004 386.00 320.00 213.00 160.00 79.00 44.00 146.00 93.00 70.00 141.00 143.00 226.00 2,021.00
43 2005 166.00 314.00 278.00 147.00 26.00 2.00 45.00 14.00 65.00 188.00 138.00 314.00 1,697.00
44 2006 336.00 215.00 381.00 212.00 35.00 105.00 36.00 49.00 44.00 157.00 204.00 260.00 2,034.00
45 2007 366.00 273.00 495.00 220.00 88.00 10.00 62.00 28.00 69.00 158.00 147.00 239.00 2,155.00
46 2008 397.00 224.00 233.00 97.00 76.00 20.00 15.00 88.00 22.00 190.00 159.00 210.00 1,731.00
47 2009 392.00 333.00 335.00 235.00 45.00 14.00 54.00 28.00 42.00 83.00 259.00 277.00 2,097.00
48 2010 408.00 328.00 503.00 210.00 44.00 37.00 19.00 47.00 43.00 229.00 118.00 328.00 2,314.00
49 2011 452.00 365.00 434.00 252.00 56.00 68.00 84.00 37.00 106.00 170.00 263.00 353.00 2,640.00
50 2012 332.00 407.00 390.00 204.00 85.00 44.00 68.00 29.00 82.00 175.00 108.00 517.00 2,441.00
51 2013 221.00 379.00 368.00 72.00 64.00 83.00 36.00 103.00 56.00 200.00 186.00 349.00 2,117.00
52 2014 481.00 221.00 233.00 149.00 106.00 13.00 51.00 53.00 109.00 123.00 147.00 347.00 2,033.00
53 2015 370.00 400.00 299.00 121.00 100.00 126.00 32.00 47.00 39.00 168.00 121.00 369.00 2,192.00
54 2016 326.00 380.00 451.00 294.00 49.00 13.00 40.00 14.00 6.00 143.00 299.00 426.00 2,441.00
55 2017 395.00 379.00 500.00 147.00 53.00 28.00 212.00 83.00 58.00 135.00 368.00 208.00 2,566.00
56 2018 239.00 288.00 313.00 235.00 85.00 91.00 12.00 11.00 50.00 117.00 144.00 208.00 1,793.00
56 56 56 56 56 56 56 56 56 56 56 56 56
325.02 322.43 344.43 177.32 63.96 43.96 50.70 49.45 82.96 162.41 174.09 281.07 2,077.80
88.26 62.87 94.51 63.65 36.56 43.91 37.50 30.21 39.95 45.48 64.87 73.61 287.57
27.16 19.50 27.44 35.90 57.16 99.87 73.96 61.09 48.15 28.00 37.26 26.19 13.84
570.00 481.00 583.00 311.00 189.00 234.00 212.00 126.00 169.00 293.00 368.00 517.00 2,692.00
166.00 215.00 148.00 58.00 0.00 2.00 12.00 8.00 6.00 58.00 73.00 142.00 1,484.00
Prec. 10% 438.17 403.03 465.59 258.92 110.84 100.25 98.77 88.17 134.18 220.71 257.25 375.44 245.94
Prec. 25% 384.60 364.87 408.22 220.29 88.65 73.60 76.01 69.84 109.93 193.11 217.88 330.76 211.48
Prec. 75% 265.44 279.99 280.64 134.36 39.28 14.33 25.39 29.06 56.00 131.71 130.30 231.38 134.82
Prec. 90% 211.86 241.83 223.27 95.72 17.09 -12.32 2.63 10.72 31.75 104.11 90.93 186.70 100.36
FUENTE : SENAMHI
Prec. Min.
Cuadro N° 08
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
Distrito
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS COMPLETADOS (SIH - HEC4)
(mm)
Departamento
Provincia
0
100
200
300
400
500
600
700
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2011)
HISTOGRAMA
0
100
200
300
400
500
600
700
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
Estacion : HUYRO Latitud : 13°40'01" S : Cusco
Tipo : CO-678 Longitud : 72°27'01" W : La Convención
Altitud : 1,700.00 msnm : Huyro
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963 520.00 307.00 361.00 284.00 75.00 42.00 50.00 44.00 81.00 25.00 184.00 309.00 2,282.00
2 1964 370.00 283.00 173.00 246.00 84.00 21.00 36.00 55.00 19.00 101.00 134.00 149.00 1,671.00
3 1965 243.00 291.00 384.00 189.00 40.00 7.00 14.00 16.00 128.00 135.00 141.00 407.00 1,995.00
4 1966 273.00 207.00 219.00 53.00 46.00 5.00 14.00 28.00 40.00 207.00 227.00 268.00 1,587.00
5 1967 308.00 360.00 396.00 167.00 39.00 21.00 30.00 46.00 52.00 202.00 132.00 267.00 2,020.00
6 1968 446.00 404.00 258.00 122.00 36.00 21.00 37.00 43.00 73.00 109.00 277.00 191.00 2,017.00
7 1969 266.00 313.00 256.00 212.00 146.00 85.00 21.00 13.00 70.00 156.00 226.00 251.00 2,015.00
8 1970 486.00 267.00 240.00 293.00 164.00 45.00 60.00 37.00 91.00 138.00 94.00 393.00 2,308.00
9 1971 377.00 516.00 278.00 129.00 49.00 46.00 8.00 20.00 47.00 98.00 121.00 288.00 1,977.00
10 1972 455.00 311.00 257.00 189.00 26.00 1.00 47.00 103.00 64.00 101.00 280.00 226.00 2,060.00
11 1973 411.00 387.00 332.00 276.00 80.00 20.00 28.00 64.00 98.00 141.00 141.00 242.00 2,220.00
12 1974 314.00 442.00 198.00 192.00 7.00 43.00 52.00 116.00 51.00 115.00 67.00 190.00 1,787.00
13 1975 269.00 357.00 195.00 170.00 69.00 35.00 22.00 63.00 84.00 77.00 76.00 158.00 1,575.00
14 1976 159.00 335.00 410.00 185.00 83.00 57.00 56.00 91.00 165.00 37.00 93.00 198.00 1,869.00
15 1977 310.00 462.00 357.00 102.00 86.00 0.00 36.00 23.00 91.00 123.00 290.00 175.00 2,055.00
16 1978 531.00 249.00 347.00 146.00 92.00 14.00 16.00 0.00 0.00 0.00 0.00 164.00 1,559.00
17 1979 212.00 220.00 316.00 117.00 9.00 0.00 29.00 17.00 63.00 53.00 115.00 147.00 1,298.00
18 1980 141.00 117.00 121.00 42.00 21.00 9.00 12.00 25.00 7.00 68.00 62.00 56.00 681.00
19 1981 139.00 153.00 155.00 194.00 7.00 0.00 0.00 14.00 120.00 14.00 215.00 275.00 1,286.00
20 1982 171.00 249.00 162.00 98.00 97.00 3.00 8.00 22.00 103.00 140.00 149.00 209.00 1,411.00
21 1983 247.00 306.00 439.00 140.00 62.00 5.00 39.00 2.00 20.00 181.00 185.00 315.00 1,941.00
22 1984 370.00 255.00 301.00 151.00 32.00 57.00 46.00 52.00 115.00 102.00 189.00 316.00 1,986.00
23 1985 379.00 227.00 260.00 296.00 50.00 15.00 16.00 9.00 15.00 181.00 217.00 161.00 1,826.00
24 1986 242.00 513.00 269.00 124.00 47.00 3.00 29.00 8.00 53.00 114.00 218.00 275.00 1,895.00
25 1987 546.00 481.00 301.00 226.00 25.00 3.00 32.00 3.00 94.00 172.00 216.00 347.00 2,446.00
26 1988 300.00 542.00 337.00 269.00 105.00 2.00 19.00 10.00 122.00 49.00 176.00 163.00 2,094.00
27 1989 327.00 351.00 255.00 206.00 136.00 16.00 33.00 66.00 84.00 77.00 15.00 288.00 1,854.00
28 1990 597.00 482.00 286.00 154.00 97.00 164.00 50.00 63.00 122.00 168.00 208.00 268.00 2,659.00
29 1991 374.00 391.00 320.00 252.00 96.00 69.00 43.00 61.00 94.00 19.00 181.00 259.00 2,159.00
30 1992 349.00 170.00 277.00 258.00 28.00 6.00 14.00 2.00 104.00 159.00 112.00 276.00 1,755.00
31 1993 339.00 381.00 333.00 227.00 4.00 0.00 0.00 4.00 108.00 66.00 209.00 199.00 1,870.00
32 1994 225.00 296.00 199.00 151.00 107.00 38.00 32.00 91.00 49.00 181.00 206.00 236.00 1,811.00
33 1995 160.00 348.00 247.00 261.00 129.00 25.00 20.00 45.00 36.00 92.00 196.00 181.00 1,740.00
34 1996 181.00 188.00 165.00 115.00 49.00 1.00 22.00 68.00 47.00 125.00 215.00 97.00 1,273.00
35 1997 183.00 312.00 252.00 141.00 21.00 46.00 40.00 87.00 122.00 141.00 210.00 104.00 1,659.00
36 1998 427.00 179.00 149.00 209.00 21.00 38.00 49.00 11.00 122.00 5.00 178.00 265.00 1,653.00
37 1999 293.00 574.00 207.00 336.00 198.00 50.00 22.00 18.00 47.00 122.00 165.00 187.00 2,219.00
38 2000 480.00 468.00 304.00 236.00 31.00 30.00 42.00 62.00 54.00 181.00 169.00 138.00 2,195.00
39 2001 228.00 377.00 212.00 96.00 27.00 50.00 37.00 70.00 77.00 180.00 218.00 194.00 1,766.00
40 2002 211.00 290.00 225.00 140.00 16.00 10.00 34.00 74.00 73.00 36.00 187.00 324.00 1,620.00
41 2003 294.00 303.00 365.00 260.00 57.00 17.00 50.00 95.00 81.00 15.00 189.00 98.00 1,824.00
42 2004 212.00 310.00 141.00 82.00 23.00 7.00 48.00 77.00 73.00 146.00 149.00 215.00 1,483.00
43 2005 192.00 303.00 200.00 179.00 9.00 0.00 1.00 15.00 63.00 158.00 166.00 302.00 1,588.00
44 2006 259.00 99.00 154.00 148.00 1.00 21.00 40.00 67.00 20.00 43.00 173.00 297.00 1,322.00
45 2007 442.00 297.00 236.00 188.00 44.00 22.00 29.00 18.00 28.00 181.00 159.00 145.00 1,789.00
46 2008 334.00 234.00 226.00 133.00 42.00 1.00 6.00 65.00 84.00 172.00 203.00 189.00 1,689.00
47 2009 446.00 222.00 303.00 184.00 36.00 13.00 36.00 8.00 33.00 20.00 158.00 355.00 1,814.00
48 2010 484.00 423.00 333.00 204.00 18.00 15.00 3.00 41.00 54.00 181.00 207.00 285.00 2,248.00
49 2011 497.00 351.00 210.00 152.00 55.00 23.00 38.00 72.00 65.00 134.00 197.00 126.00 1,920.00
50 2012 352.00 124.00 283.00 225.00 105.00 109.00 50.00 59.00 46.00 177.00 97.00 116.00 1,743.00
51 2013 190.00 341.00 322.00 131.00 12.00 19.00 38.00 78.00 74.00 14.00 165.00 322.00 1,706.00
52 2014 411.00 315.00 197.00 141.00 220.00 3.00 31.00 15.00 70.00 44.00 86.00 289.00 1,822.00
53 2015 409.00 390.00 265.00 143.00 58.00 51.00 33.00 44.00 120.00 176.00 121.00 181.00 1,991.00
54 2016 216.00 481.00 330.00 243.00 59.00 53.00 17.00 3.00 26.00 145.00 215.00 126.00 1,914.00
55 2017 440.00 527.00 309.00 255.00 37.00 54.00 37.00 71.00 56.00 158.00 198.00 266.00 2,408.00
56 2018 411.00 300.00 299.00 229.00 63.00 109.00 24.00 1.00 14.00 152.00 118.00 180.00 1,900.00
56 56 56 56 56 56 56 56 56 56 56 56 56
329.43 328.23 266.54 183.77 60.29 28.93 29.93 42.41 69.86 112.63 165.98 225.86 1,843.84
117.83 112.54 73.98 64.84 47.97 32.03 15.38 31.28 36.15 60.11 60.04 79.37 335.06
35.77 34.29 27.76 35.29 79.57 110.71 51.40 73.76 51.74 53.37 36.17 35.14 18.17
597.00 574.00 439.00 336.00 220.00 164.00 60.00 116.00 165.00 207.00 290.00 407.00 2,659.00
139.00 99.00 121.00 42.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 56.00 681.00
Prec. 10% 480.49 472.50 361.38 266.90 121.78 69.99 49.65 82.52 116.20 189.68 242.95 327.61 231.80
Prec. 25% 408.96 404.19 316.47 227.54 92.66 50.55 40.31 63.53 94.26 153.20 206.51 279.43 194.80
Prec. 75% 249.89 252.27 216.60 140.00 27.91 7.31 19.55 21.29 45.46 72.05 125.46 172.28 112.51
Prec. 90% 178.37 183.96 171.69 100.64 -1.21 -12.13 10.21 2.30 23.52 35.57 89.01 124.10 75.50
FUENTE : SENAMHI
Prec. Min.
Cuadro N° 09
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
Distrito
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS COMPLETADOS (SIH - HEC4)
(mm)
Departamento
Provincia
0
100
200
300
400
500
600
700
800
900
1,000
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2011)
HISTOGRAMA
0
100
200
300
400
500
600
700
800
900
1,000
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
ALTITUD PRECIPITACION PRECIPITACION
MEDIA MEDIA ANUAL MEDIA ANUAL CORREGIDA
msnm mm X2
Y2
X*Y2
Y4
mm
QUILLABAMBA 990.00 1,219.13 9.80E+05 1.49E+06 1.47E+09 2.21E+12 1,320.67
QUEBRADA 1,185.00 1,457.75 1.40E+06 2.13E+06 2.52E+09 4.52E+12 1,444.51
MACHUPICCHU 2,563.00 2,077.80 6.57E+06 4.32E+06 1.11E+10 1.86E+13 2,122.86
HUYRO 1,700.00 1,843.84 2.89E+06 3.40E+06 5.78E+09 1.16E+13 1,729.45
SUMA 6,438.00 6,598.52 1.18E+07 1.13E+07 2.08E+10 3.69E+13 6,617.49
n 4 4 4 4 4 4 4
PROMEDIO 1,609.50 1,649.63 2.96E+06 2.83E+06 5.21E+09 9.23E+12 1654.37
FORMULAS PARA EL CALCULO DE PARAMETROS DE REGRESION
A= SUM X 6.44E+03 G = C-(A^2)/n 1.48E+06 COEF. INDEPENDIENTE Bo = 5.631E+03
B= SUM Y 6.60E+03 H = F-A*D/n 2.60E+09 COEF. DEPENDIENTE B1 = 1.756E+03
C= SUM X^2 1.18E+07 I = F-(D^2)/n 4.84E+12 COEF. DE CORRELACION r = 0.972
D= SUM Y^2 1.13E+07 J = H/G 1.76E+03
E= SUM X*Y^2 2.08E+10 K = (D-J*A)/n 5.63E+03 PRECIP. MEDIA ANUAL EN LAS MICROCUENCAS
F= SUM Y^4 3.69E+13 CUENCAS
FORMULAS DE PARAMETROS DE REGRESION Cuenca Mantoreal 2,518.27 2,104.28
COEF. INDEPENDIENTE Bo= (D-J*A)/n
COEF. DEPENDIENTE B1= H/G
COEF. DE CORRELACION r = H/SQRT(G*I)
DESVIACION ESTANDAR S = (D-A^2/n)-(K*(A*D-A*B)/n) AREAS DE CULTIVO
Área de Cultivos 790.00 1,180.23
DATE & HOUR OF PROCESS :
VALORES DE PARAMETROS DE REGRESION
02/08/2019 16:19
ANALISIS REGIONAL DE PRECIPITACION
ECUACION DE REGRESION PRECIPITACION - ALTITUD
Cuadro N° 10
NOMBRE DE LA
ESTACION
ECUACION DE REGRESION
P2
= BO + B1 * H
1,000
1,200
1,400
1,600
1,800
2,000
2,200
2,400
800 1,000 1,200 1,400 1,600 1,800 2,000 2,200 2,400 2,600
PRECIPITACION
(mm)
ALTITUD (msnm)
REEGIONALIZACION DE LA PRECIPITACION
HISTORICA REGIONALIZADA
Altitud Precipitac.
º ' " Grados º ' " Grados Media Media E.C01 E.C01
156302 E1 QUILLABAMBA Urubamba 12 51 21 12.86 72 41 30 72.69 990.00 1,219.13
156322 E2 QUEBRADA Urubamba 12 40 43.9 12.68 72 16 42 72.28 1,185.00 1,457.75
156312 E3 MACHUPICCHU Urubamba 13 10 00 13.17 72 32 44 72.55 2,563.00 2,077.80
156310 E4 HUYRO Urubamba 13 04 01 13.07 72 27 01 72.45 1,700.00 1,843.84
E5
E6
E7
E8
E9
001 E.C01 Cuenca Mantoreal 12 42 14 12.70 72 36 13 72.60 2,518.27 2,104.28 E.C01 = 0.731 x E1 + 0.329 x E2 + 0.162 x E3 + 0.215 x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
002 E.C02 E.C02 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
003 E.C03 E.C03 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
004 E.C04 E.C04 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
005 E.C05 E.C05 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
006 E.S06 Área de Cultivos 12 39 17.81 12.65 72 33 46.03 72.56 790.00 1,180.23 E.S06 = 0.338 x E1 + 0.237 x E2 + 0.093 x E3 + 0.125 x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
007 E.S07 E.S07 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
008 E.S08 E.S08 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
009 E.S09 E.S09 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9
ECUACIONES DE INFLUENCIA ENTRE ESTACIONES BASE Y ESTACIONES EN ESTUDIO
Cuadro N° 11
COD
HEC
VARIABLE ESTACION CUENCA
Latitud Sur Longitud Oeste FACTOR INFLUENCIA ALTITUDINAL (ai) FACTOR INFLUENCIA GEOGRAFICA (bi)
E.S06 E.S07 E.S08 E.S09
E.C03 E.C04 E.C05
E.S08 E.S09 E.C02
E.C02 E.C03 E.C04 E.C05 E.S06 E.S07
1.73 0.97 0.25 0.25 0.35 0.25 0.25 0.25
0.42 0.25 0.25
0.25 0.25 0.25
0.23 0.25 0.25
1.01 0.57
0.25 0.25 0.29
1.44 0.81
0.25 0.25 0.16 0.25 0.25 0.25
0.16 0.25 0.25
0.25 0.25 0.25
0.19 0.25 0.25 0.25 0.25 0.20
1.14 0.64
ESTACIONES EN ESTUDIO (Ei) ECUACIONES DE INFLUENCIA
Estacion : Latitud : 12°39'17.81'' S : Cusco
Longitud : 72°36'12.69'' W : La Convención
Altitud : 2,518.27 msnm : Echarati
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963 326.11 256.12 165.26 141.46 68.84 49.18 52.43 29.80 60.67 109.65 86.37 210.61 1,556.50
2 1964 224.87 284.14 217.95 211.52 45.20 26.89 6.75 49.28 36.70 49.07 65.32 145.08 1,362.78
3 1965 206.31 254.10 270.22 121.72 14.12 6.82 46.97 22.46 149.77 146.20 107.79 241.51 1,588.00
4 1966 219.12 236.19 150.48 33.03 50.88 4.31 26.54 23.90 43.38 155.44 150.83 182.67 1,276.77
5 1967 168.07 222.48 319.07 74.72 31.22 21.46 48.12 49.57 60.61 188.11 118.43 188.75 1,490.61
6 1968 259.56 253.80 260.43 101.00 38.59 40.70 74.91 73.09 55.73 118.41 183.78 163.36 1,623.37
7 1969 230.48 180.31 231.00 151.71 73.20 75.51 18.59 11.61 97.61 130.68 142.00 209.78 1,552.47
8 1970 250.98 156.25 213.96 145.62 79.75 24.04 34.63 35.12 64.18 150.63 112.11 261.12 1,528.41
9 1971 197.43 243.81 212.62 75.33 38.04 55.55 15.90 39.84 74.62 98.13 98.40 168.55 1,318.22
10 1972 286.11 154.28 206.31 76.67 56.92 5.70 22.87 85.49 40.71 50.61 192.74 170.31 1,348.72
11 1973 266.15 236.41 201.68 172.44 66.90 24.25 40.75 66.26 97.37 90.68 177.39 242.58 1,682.85
12 1974 234.39 256.49 134.80 199.62 18.61 22.68 30.90 69.34 55.79 107.86 78.23 107.93 1,316.66
13 1975 198.09 293.77 169.47 113.98 77.96 47.69 21.76 24.26 105.80 104.19 191.80 259.38 1,608.16
14 1976 277.22 237.18 211.40 167.01 67.35 14.30 15.38 66.65 147.47 130.42 79.34 230.66 1,644.38
15 1977 248.06 252.09 215.06 65.26 55.45 2.11 49.06 10.00 83.64 64.20 128.19 184.94 1,358.06
16 1978 291.80 159.32 243.10 91.07 88.61 16.39 3.58 13.46 11.25 159.75 181.02 319.19 1,578.54
17 1979 201.50 181.12 197.19 87.52 30.20 9.77 34.75 8.07 37.09 132.49 156.48 186.16 1,262.34
18 1980 218.17 252.68 234.84 114.13 27.29 9.27 45.98 53.19 58.09 142.87 129.05 141.43 1,426.99
19 1981 258.92 217.24 205.82 119.97 38.90 1.87 27.98 12.97 95.84 116.95 330.16 305.22 1,731.84
20 1982 260.07 319.26 318.03 131.89 81.50 23.64 80.07 15.77 77.96 138.72 161.92 294.95 1,903.77
21 1983 245.06 249.94 263.20 50.63 37.18 16.75 42.42 11.24 36.88 311.20 73.07 137.68 1,475.27
22 1984 171.56 248.07 232.90 113.07 35.90 28.33 9.04 25.97 91.51 184.10 124.64 221.69 1,486.78
23 1985 212.19 306.28 169.03 218.23 55.21 16.89 48.14 64.49 58.06 180.42 96.54 190.78 1,616.27
24 1986 205.01 301.67 222.92 111.67 63.15 19.59 95.01 21.50 53.93 159.73 203.66 309.36 1,767.20
25 1987 503.38 263.63 235.07 210.43 58.00 35.59 32.45 8.58 93.38 137.86 537.75 443.65 2,559.79
26 1988 470.38 497.43 638.99 432.47 142.78 7.29 19.83 7.95 184.40 203.42 188.93 464.96 3,258.84
27 1989 507.18 177.88 395.55 183.27 56.28 1.13 37.60 87.91 77.18 161.74 113.15 287.69 2,086.55
28 1990 471.16 281.30 288.45 98.44 142.65 262.52 48.56 80.32 153.40 294.33 268.14 247.51 2,636.78
29 1991 419.55 267.83 459.62 208.75 107.10 66.95 25.35 25.35 83.33 89.47 86.45 170.41 2,010.18
30 1992 202.26 182.92 253.07 134.71 34.32 47.59 53.20 20.55 96.88 94.57 111.47 205.55 1,437.07
31 1993 290.41 247.83 275.82 169.51 8.37 1.71 22.30 3.91 101.36 81.73 101.67 242.76 1,547.39
32 1994 281.31 184.60 235.51 117.27 118.24 36.20 32.93 61.72 68.87 169.01 193.95 281.71 1,781.32
33 1995 344.29 324.81 296.95 115.40 110.89 18.40 28.09 51.82 42.62 128.13 196.56 131.10 1,789.06
34 1996 207.23 283.45 156.19 132.33 44.02 8.77 18.18 32.24 72.28 105.02 120.85 146.03 1,326.59
35 1997 235.96 343.47 226.89 118.37 35.82 34.62 9.77 57.63 128.97 189.12 175.92 227.69 1,784.23
36 1998 220.39 244.89 306.81 137.34 7.36 7.65 5.69 16.61 105.23 190.13 106.38 208.80 1,557.29
37 1999 377.91 525.86 303.79 263.27 108.98 15.86 40.60 2.75 61.24 103.93 108.76 195.59 2,108.54
38 2000 368.85 299.34 245.86 105.98 33.65 81.69 16.43 58.11 65.81 82.25 61.30 139.59 1,558.87
39 2001 342.35 307.88 284.80 68.89 61.57 35.02 49.39 34.78 67.78 157.90 127.65 162.50 1,700.51
40 2002 221.19 267.40 256.57 104.63 47.46 32.74 100.71 72.73 64.31 187.02 156.40 312.34 1,823.50
41 2003 244.33 280.42 313.64 134.86 55.33 22.15 12.17 124.79 73.93 117.82 86.28 277.59 1,743.29
42 2004 316.78 227.44 188.11 134.35 53.42 28.65 85.82 69.58 68.64 153.53 187.56 150.42 1,664.30
43 2005 174.12 211.19 244.45 125.87 30.70 6.10 50.51 24.39 64.59 116.86 59.71 267.68 1,376.17
44 2006 292.47 246.99 274.07 164.20 13.15 55.62 14.41 42.55 32.12 168.87 179.64 272.71 1,756.79
45 2007 313.22 145.50 327.33 203.89 55.06 17.92 31.38 13.52 39.09 220.28 113.76 164.59 1,645.53
46 2008 333.85 195.78 207.20 119.30 34.70 6.34 15.55 31.07 55.96 203.56 137.73 161.36 1,502.39
47 2009 317.72 306.55 225.15 112.05 35.28 12.17 36.04 21.35 32.57 160.16 264.85 249.59 1,773.49
48 2010 261.14 279.85 364.49 117.89 30.69 27.66 21.02 39.30 43.91 237.66 103.42 205.60 1,732.66
49 2011 298.34 329.79 349.20 167.42 64.38 28.31 73.25 85.21 71.26 209.60 194.34 294.49 2,165.59
50 2012 241.23 310.07 184.95 163.28 63.83 56.17 31.46 24.90 51.31 122.91 115.56 345.59 1,711.28
51 2013 215.74 261.03 262.65 144.17 27.35 51.00 13.86 78.50 55.85 243.02 135.29 292.94 1,781.39
52 2014 399.83 230.50 258.57 108.54 134.46 3.42 48.97 26.19 72.64 84.54 126.14 245.17 1,738.96
53 2015 308.46 297.11 191.98 129.08 83.41 47.20 22.10 13.96 91.93 166.00 164.88 210.11 1,726.20
54 2016 277.00 272.90 405.04 157.94 41.20 14.35 66.10 49.68 27.52 203.81 201.29 261.73 1,978.54
55 2017 320.33 394.31 525.59 179.65 59.39 51.46 117.90 75.63 61.22 149.97 370.00 203.30 2,508.74
56 2018 202.49 213.41 181.55 126.29 64.89 31.49 8.30 7.38 30.28 99.65 114.48 233.96 1,314.16
56 56 56 56 56 56 56 56 56 56 56 56 56
279.25 261.72 261.26 138.91 57.24 30.67 37.19 39.90 72.05 147.40 153.21 228.19 1,706.98
81.99 70.71 90.83 60.25 31.99 37.16 25.24 27.67 33.88 54.34 80.96 71.57 367.65
29.36 27.02 34.77 43.37 55.89 121.17 67.87 69.35 47.03 36.86 52.84 31.36 21.54
507.18 525.86 638.99 432.47 142.78 262.52 117.90 124.79 184.40 311.20 537.75 464.96 3,258.84
168.07 145.50 134.80 33.03 7.36 1.13 3.58 2.75 11.25 49.07 59.71 107.93 1,262.34
Prec. 10% 384.37 352.37 377.71 216.15 98.26 78.31 69.54 75.37 115.48 217.06 256.99 319.94 2,561.55
Prec. 25% 334.60 309.45 322.57 179.58 78.84 55.75 54.22 58.57 94.91 184.08 207.85 276.49 2,156.93
Prec. 75% 223.91 213.99 199.95 98.24 35.65 5.58 20.15 21.22 49.18 110.72 98.56 179.88 1,257.03
Prec. 90% 174.13 171.08 144.81 61.67 16.23 -16.97 4.83 4.43 28.61 77.74 49.42 136.43 852.42
FUENTE : SENAMHI
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS GENERADOS
(mm)
Cuenca Mantoreal Departamento
Provincia
Distrito
Prec. Min.
Cuadro N° 12
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
0
50
100
150
200
250
300
350
400
450
500
550
600
650
700
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2015)
HISTOGRAMA
0
50
100
150
200
250
300
350
400
450
500
550
600
650
700
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
Estacion : Latitud : 12°39'17.81'' S : Cusco
Longitud : 72°33'46.03'' W : La Convención
Altitud : 790.00 msnm : Echarati
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1 1963 171.36 150.12 89.34 80.36 39.35 28.03 30.11 15.23 35.12 70.71 50.56 120.44 880.73
2 1964 125.41 162.21 119.46 117.08 26.49 18.01 4.12 28.90 20.77 24.92 38.97 82.52 768.88
3 1965 120.56 142.40 151.87 65.12 9.40 3.99 23.93 12.14 81.23 80.21 61.21 134.66 886.72
4 1966 134.17 137.14 86.50 18.25 26.74 2.11 15.72 14.04 23.01 82.06 82.14 100.74 722.63
5 1967 95.68 129.94 180.31 44.62 18.15 12.08 23.56 27.87 32.27 112.56 70.96 106.39 854.39
6 1968 136.21 141.56 150.21 58.83 25.32 27.79 45.86 41.08 31.41 66.05 103.00 87.76 915.08
7 1969 131.75 104.75 129.92 83.56 42.42 38.18 10.38 6.07 61.59 80.67 77.72 117.23 884.23
8 1970 133.71 92.56 109.20 76.46 43.55 12.13 19.28 22.75 36.85 88.39 67.12 142.64 844.64
9 1971 106.90 132.06 123.75 39.49 20.32 28.39 10.68 24.73 39.60 59.08 54.91 99.05 738.97
10 1972 161.84 79.90 116.58 41.32 34.37 2.93 14.19 43.51 22.42 26.11 102.79 90.57 736.52
11 1973 145.45 129.02 107.93 93.59 37.64 14.43 21.38 32.99 55.14 46.68 96.51 126.54 907.29
12 1974 127.79 140.03 75.37 114.74 11.06 13.42 15.62 34.33 32.27 63.78 46.87 62.24 737.52
13 1975 113.03 163.72 89.82 66.08 44.68 28.31 12.32 12.14 59.90 58.25 113.76 143.54 905.55
14 1976 154.94 128.03 121.94 97.37 41.22 8.40 8.58 35.19 80.12 83.90 48.87 133.44 942.01
15 1977 145.86 135.51 115.95 37.44 30.37 1.10 25.99 5.87 47.45 37.67 65.73 102.92 751.86
16 1978 150.08 89.86 141.61 50.49 44.56 9.32 2.24 9.39 7.21 93.54 115.86 177.52 891.68
17 1979 118.89 105.21 112.60 51.39 16.71 6.22 19.15 4.86 24.28 85.81 90.76 104.60 740.48
18 1980 127.65 144.06 130.09 64.59 13.88 4.70 23.71 31.67 30.42 77.12 79.80 85.68 813.35
19 1981 148.56 121.64 116.70 65.40 21.37 1.09 15.78 7.58 51.54 75.71 172.03 164.71 962.11
20 1982 145.10 176.58 177.19 79.34 48.07 11.56 43.34 8.71 41.78 83.97 91.26 167.79 1,074.70
21 1983 140.31 139.11 146.02 27.90 20.74 9.99 27.67 7.70 20.55 162.84 43.65 74.13 820.62
22 1984 95.73 146.40 129.97 64.56 21.79 15.47 5.68 14.72 49.68 110.11 68.81 124.81 847.73
23 1985 117.84 172.92 90.61 111.71 28.05 9.75 29.58 39.84 29.72 92.38 52.19 105.70 880.28
24 1986 120.80 155.44 126.64 64.16 35.93 11.66 57.82 14.15 28.84 95.59 105.95 166.61 983.59
25 1987 261.86 144.46 131.81 113.39 32.97 17.30 20.55 5.01 53.99 74.46 268.08 243.03 1,366.90
26 1988 248.40 249.61 334.21 223.90 74.11 4.32 13.57 4.79 99.53 119.25 104.90 262.51 1,739.11
27 1989 261.85 95.93 207.73 104.93 30.10 0.65 18.95 47.78 39.91 98.02 70.42 167.68 1,143.95
28 1990 243.44 149.48 163.78 53.51 74.07 142.00 28.80 44.57 84.20 160.96 143.63 133.52 1,421.96
29 1991 230.90 148.50 246.24 113.54 57.26 39.33 16.25 14.61 44.44 52.94 51.23 91.52 1,106.76
30 1992 118.68 104.54 141.30 73.59 20.29 23.91 30.34 13.54 54.21 51.39 69.86 117.31 818.98
31 1993 159.52 131.57 155.99 90.16 3.96 1.00 11.84 2.48 59.30 45.90 56.32 132.63 850.66
32 1994 166.93 102.47 133.55 64.91 61.39 20.06 17.72 30.94 37.22 96.68 105.56 155.58 993.02
33 1995 198.51 169.76 168.46 62.73 61.39 11.18 15.92 27.46 24.05 75.50 108.39 76.12 999.46
34 1996 116.57 159.25 87.04 76.71 24.29 4.73 10.70 15.64 40.46 59.20 66.40 84.48 745.47
35 1997 124.43 187.59 128.80 66.14 18.22 19.52 5.70 28.22 71.96 112.20 97.55 127.58 987.91
36 1998 118.46 140.58 165.41 76.23 4.47 4.19 3.50 10.31 58.38 112.45 61.81 112.70 868.48
37 1999 210.05 266.13 160.40 133.14 62.64 8.68 24.45 1.57 36.97 59.33 64.75 111.13 1,139.25
38 2000 196.85 161.49 136.77 57.45 18.68 45.12 10.77 31.90 37.38 45.45 34.84 79.89 856.58
39 2001 185.28 167.77 153.70 38.33 34.48 21.33 26.74 18.18 41.63 87.72 69.48 89.82 934.49
40 2002 131.67 147.23 138.52 60.11 27.11 19.00 56.07 37.60 36.63 112.30 87.62 174.70 1,028.57
41 2003 137.79 159.05 177.23 72.90 34.53 13.15 6.68 66.23 37.57 73.21 49.66 159.58 987.57
42 2004 184.88 127.28 106.59 77.06 28.49 15.81 47.20 39.58 37.39 84.01 108.97 85.00 942.26
43 2005 99.70 119.49 134.33 69.04 15.09 3.03 24.77 15.33 37.03 66.27 35.73 151.11 770.90
44 2006 169.71 143.05 151.13 90.37 7.13 32.07 8.57 24.18 18.68 99.13 105.21 154.50 1,003.74
45 2007 164.10 80.36 188.58 113.09 31.51 9.65 18.65 7.93 24.03 122.78 67.81 92.63 921.14
46 2008 185.48 105.12 114.60 67.55 20.52 3.71 8.39 16.70 32.77 116.36 78.02 90.62 839.86
47 2009 169.34 173.73 128.09 62.27 19.99 7.48 19.58 13.75 19.61 92.19 144.95 138.80 989.77
48 2010 155.22 149.25 200.71 68.74 17.09 14.89 11.67 22.64 24.37 130.23 56.95 111.60 963.37
49 2011 166.15 179.59 189.29 94.17 37.27 14.82 41.12 45.40 43.28 117.63 106.15 164.97 1,199.85
50 2012 129.26 178.44 102.21 92.33 36.95 29.98 17.45 13.47 27.65 69.43 66.10 191.28 954.55
51 2013 126.26 145.73 146.04 76.85 15.90 27.77 8.74 42.21 30.21 139.44 76.19 165.44 1,000.77
52 2014 216.33 131.07 151.51 60.46 72.62 2.15 25.76 14.58 41.03 50.74 72.78 133.78 972.82
53 2015 171.99 164.99 107.72 74.94 48.04 27.96 11.38 7.80 49.81 96.06 95.80 115.93 972.44
54 2016 155.47 145.27 219.48 91.80 24.15 8.14 36.27 33.68 15.71 111.86 109.93 150.17 1,101.90
55 2017 170.77 202.63 272.61 95.53 32.64 25.66 62.71 37.99 32.90 82.33 195.13 112.02 1,322.93
56 2018 109.58 126.37 101.21 66.33 37.52 18.80 4.56 5.04 18.52 57.63 67.83 133.11 746.52
56 56 56 56 56 56 56 56 56 56 56 56 56
154.55 144.25 144.37 76.72 31.91 17.08 20.93 22.08 40.25 84.49 85.71 127.37 949.70
41.19 34.89 47.13 31.23 17.08 20.15 14.01 14.58 18.46 30.03 40.61 39.65 188.14
26.65 24.19 32.65 40.71 53.51 117.96 66.94 66.02 45.86 35.54 47.38 31.13 19.81
261.86 266.13 334.21 223.90 74.11 142.00 62.71 66.23 99.53 162.84 268.08 262.51 1,739.11
95.68 79.90 75.37 18.25 3.96 0.65 2.24 1.57 7.21 24.92 34.84 62.24 722.63
Prec. 10% 207.36 188.98 204.79 116.76 53.80 42.91 38.89 40.77 63.91 122.98 137.76 178.20 1,397.12
Prec. 25% 182.36 167.80 176.18 97.80 43.44 30.68 30.39 31.92 52.71 104.75 113.11 154.14 1,185.28
Prec. 75% 126.75 120.70 112.56 55.63 20.38 3.48 11.47 12.24 27.79 64.22 58.30 100.61 714.13
Prec. 90% 101.75 99.52 83.95 36.67 10.02 -8.75 2.97 3.39 16.58 45.99 33.65 76.55 502.29
FUENTE : SENAMHI
REGISTRO DE PRECIPITACION MENSUAL ACUMULADA
REGISTROS GENERADOS
(mm)
Área de Cultivos Departamento
Provincia
Distrito
Prec. Min.
Cuadro N° 13
N° Datos
Media
Desv. Estandar
Coef. Variacion
Prec. Max.
0
50
100
150
200
250
300
350
400
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2015)
HISTOGRAMA
0
50
100
150
200
250
300
350
400
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
CAUDALES GENERADOS PARA EL AÑO PROMEDIO
CUENCA: RÍO MANTOREAL Área (km²): 31.747
ESTACIÓN: CAPTACIÓN MANTOREAL Pendiente (km/km): 0.661
Cuadro N° 14
DATOS CAUDALES GENERADOS (m³/s) Caudal
ÍTEM MES
Precip. Media de la
Cuenca
Caudal Medio Aforado Asumido
(mm) (m³/s) (m³/s)
Pmg Qmh Qg1 Qg2 Qg3 Qg4 Qg
1 ENE 279.25 3.495 1.315 1.743 1.888 3.495
2 FEB 261.72 1.706 1.203 1.643 1.172 1.706
3 MAR 261.26 1.133 1.133 1.640 0.887 1.133
4 ABR 138.91 0.764 0.715 0.759 0.814 0.728 0.759
5 MAY 57.24 0.537 0.450 0.487 0.477 0.625 0.487
6 JUN 30.67 0.328 0.317 0.331 0.326 0.551 0.326
7 JUL 37.19 0.235 0.246 0.217 0.277 0.496 0.217
8 AGO 39.90 0.230 0.244 0.238 0.296 0.452 0.238
9 SET 72.05 0.268 0.265 0.250 0.226 0.417 0.265
10 OCT 147.40 0.373 0.375 0.375 0.265 0.388 0.375
11 NOV 153.21 0.428 0.437 0.436 0.762 0.363 0.437
12 DIC 228.19 0.365 0.386 0.389 0.374 0.342 0.374
N° Datos 12 9 12 12 12 12 12
Total Anual 1,706.98 3.528 9.768 7.134 8.841 8.310 9.811
Media 142.25 0.392 0.814 0.594 0.737 0.693 0.818
Caudal Max. 279.25 0.764 3.495 1.315 1.743 1.888 3.495
Caudal Min. 30.67 0.230 0.244 0.217 0.226 0.342 0.217
Varianza 0.904 0.163 0.356 0.202 0.902
Desv. Estándar 95.76 0.170 0.951 0.404 0.596 0.449 0.951
Coef. Variación 0.67 0.435 1.168 0.679 0.810 0.649 1.164
Sesgo 2.424 0.959 0.999 2.015 2.411
Curtosis 9.397 3.027 3.004 7.657 9.362
Ec. Generadas que Rige el Comportamiento Hídrico de la Cuenca en Estudio para el Año Promedio:
Ec. ENE: Y= 0.7735*X1^(-1.0096) *X2^(0.2678)
Ec. FEB: Y= 0.7735*X1^(-1.0096) *X2^(0.2678)
Ec. MAR: Y= 0.7735*X1^(-1.0096) *X2^(0.2678)
Ec. ABR: Y = 0.6855 -0.0684 *X1 +0.0025 *X2
Ec. MAY: Y = 0.6855 -0.0684 *X1 +0.0025 *X2
Ec. JUN: Y = -0.8111 +0.0303 *X1 +0.0057 *X2
Ec. JUL: Y = 0.294 + (5.505 / 10.684) * (X * 0.294 / 75.396) - 0.294 * 5.505 / 10.684
Ec. AGO: Y = 0.6855 -0.0684 *X1 +0.0025 *X2
Ec. SET: Y= 0.7735*X1^(-1.0096) *X2^(0.2678)
Ec. OCT: Y = 0.2478176 * ( 1.0028148 ) ^ X
Ec. NOV: Y = 0.2607945 + 0.0011478 * X
Ec. DIC: Y = 0.0053234 * X ^ (0.7829126)
Modelo 1 Modelo 2 Modelo 3 Modelo 4
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
0 50 100 150 200 250 300
Caudal
Q
(m³/s)
PrecipitaciónP (mm)
Dispersiónde Datos
Qmh
Qg1
Qg2
Qg3
Qg4
Qg
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
Caudal
Q
(m³/s)
Mes
Caudal Históricovs Caudales Generados
Qmh
Qg1
Qg2
Qg3
Qg4
Qg
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
Caudal
Q
(m³/s)
Mes
Caudal Histórico vs Caudal Generado Asumido
Qmh
Qg
Estacion : Latitud : 12º39'23.98" S : Cusco
Longitud : 72º07'30.96" W : La Convención
Altitud : 887.00 msnm : Echarati
Cuadro N° 15
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC MEDIA ANUAL QMÁX
1 1963 3.644 1.696 1.002 0.766 0.516 0.431 0.248 0.213 0.253 0.337 0.360 0.351 0.818 3.644
2 1964 3.298 1.744 1.079 0.941 0.457 0.304 0.156 0.262 0.221 0.284 0.336 0.262 0.779 3.298
3 1965 3.223 1.693 1.143 0.716 0.379 0.190 0.237 0.194 0.322 0.374 0.385 0.391 0.770 3.223
4 1966 3.276 1.660 0.977 0.494 0.471 0.175 0.196 0.198 0.231 0.384 0.434 0.314 0.734 3.276
5 1967 3.051 1.634 1.195 0.599 0.422 0.273 0.239 0.262 0.253 0.420 0.397 0.322 0.756 3.051
6 1968 3.428 1.692 1.132 0.664 0.440 0.383 0.293 0.321 0.247 0.346 0.472 0.288 0.809 3.428
7 1969 3.320 1.544 1.096 0.791 0.527 0.581 0.180 0.167 0.287 0.358 0.424 0.350 0.802 3.320
8 1970 3.397 1.486 1.074 0.776 0.543 0.288 0.212 0.226 0.256 0.378 0.389 0.415 0.787 3.397
9 1971 3.185 1.674 1.072 0.600 0.439 0.467 0.174 0.238 0.267 0.327 0.374 0.295 0.759 3.185
10 1972 3.518 1.481 1.063 0.604 0.486 0.183 0.188 0.352 0.227 0.286 0.482 0.297 0.764 3.518
11 1973 3.451 1.660 1.057 0.843 0.511 0.289 0.224 0.304 0.287 0.320 0.464 0.392 0.817 3.451
12 1974 3.335 1.697 0.949 0.911 0.390 0.280 0.205 0.312 0.247 0.336 0.351 0.208 0.768 3.335
13 1975 3.188 1.760 1.009 0.697 0.538 0.423 0.186 0.199 0.293 0.332 0.481 0.413 0.793 3.188
14 1976 3.489 1.662 1.070 0.829 0.512 0.232 0.173 0.305 0.321 0.358 0.352 0.377 0.807 3.489
15 1977 3.386 1.689 1.075 0.575 0.482 0.163 0.241 0.163 0.275 0.297 0.408 0.317 0.756 3.386
16 1978 3.537 1.494 1.111 0.640 0.565 0.244 0.150 0.172 0.161 0.388 0.469 0.486 0.785 3.537
17 1979 3.203 1.546 1.050 0.631 0.419 0.207 0.212 0.158 0.221 0.360 0.440 0.319 0.731 3.203
18 1980 3.272 1.690 1.101 0.697 0.412 0.204 0.235 0.271 0.250 0.370 0.409 0.257 0.764 3.272
19 1981 3.425 1.623 1.062 0.712 0.441 0.162 0.199 0.171 0.286 0.344 0.640 0.469 0.794 3.425
20 1982 3.429 1.799 1.194 0.742 0.547 0.286 0.303 0.178 0.270 0.366 0.447 0.457 0.835 3.429
21 1983 3.375 1.685 1.135 0.538 0.436 0.246 0.228 0.166 0.221 0.594 0.345 0.252 0.769 3.375
22 1984 3.068 1.682 1.098 0.695 0.433 0.312 0.161 0.203 0.282 0.416 0.404 0.365 0.760 3.068
23 1985 3.248 1.780 1.008 0.957 0.482 0.247 0.239 0.300 0.250 0.412 0.372 0.325 0.801 3.248
24 1986 3.218 1.772 1.085 0.691 0.501 0.262 0.333 0.192 0.245 0.388 0.495 0.474 0.805 3.218
25 1987 4.093 1.710 1.101 0.938 0.489 0.354 0.208 0.160 0.284 0.365 0.878 0.629 0.934 4.093
26 1988 4.019 2.026 1.439 1.493 0.700 0.192 0.182 0.158 0.340 0.439 0.478 0.652 1.010 4.019
27 1989 4.101 1.539 1.266 0.870 0.484 0.157 0.218 0.358 0.269 0.390 0.391 0.448 0.874 4.101
28 1990 4.021 1.740 1.163 0.658 0.700 1.647 0.240 0.339 0.324 0.567 0.569 0.398 1.030 4.021
29 1991 3.898 1.717 1.317 0.934 0.611 0.532 0.193 0.202 0.275 0.319 0.360 0.297 0.888 3.898
30 1992 3.206 1.550 1.123 0.749 0.429 0.422 0.249 0.190 0.286 0.323 0.389 0.344 0.772 3.206
31 1993 3.532 1.681 1.149 0.836 0.364 0.161 0.187 0.148 0.290 0.312 0.377 0.392 0.786 3.532
32 1994 3.502 1.554 1.101 0.705 0.639 0.357 0.209 0.293 0.261 0.399 0.483 0.441 0.829 3.502
33 1995 3.697 1.808 1.172 0.700 0.621 0.256 0.199 0.268 0.230 0.355 0.486 0.242 0.836 3.697
34 1996 3.227 1.743 0.987 0.743 0.454 0.201 0.179 0.219 0.265 0.333 0.400 0.263 0.751 3.227
35 1997 3.341 1.835 1.091 0.708 0.433 0.348 0.162 0.282 0.309 0.422 0.463 0.373 0.814 3.341
36 1998 3.281 1.676 1.182 0.755 0.362 0.194 0.154 0.180 0.293 0.423 0.383 0.349 0.769 3.281
37 1999 3.790 2.057 1.179 1.070 0.616 0.241 0.224 0.145 0.253 0.332 0.386 0.331 0.885 3.790
38 2000 3.766 1.769 1.114 0.677 0.428 0.616 0.176 0.284 0.258 0.312 0.331 0.254 0.832 3.766
39 2001 3.691 1.782 1.159 0.584 0.497 0.350 0.242 0.225 0.260 0.386 0.407 0.286 0.823 3.691
40 2002 3.284 1.716 1.127 0.673 0.462 0.337 0.345 0.320 0.257 0.419 0.440 0.478 0.822 3.284
41 2003 3.373 1.738 1.189 0.749 0.482 0.277 0.167 0.450 0.266 0.345 0.360 0.436 0.819 3.373
42 2004 3.615 1.643 1.037 0.748 0.477 0.314 0.315 0.312 0.261 0.382 0.476 0.270 0.821 3.615
43 2005 3.080 1.611 1.113 0.727 0.420 0.186 0.244 0.199 0.257 0.344 0.329 0.423 0.744 3.080
44 2006 3.539 1.680 1.147 0.822 0.376 0.468 0.171 0.245 0.213 0.398 0.467 0.430 0.830 3.539
45 2007 3.605 1.458 1.203 0.922 0.481 0.253 0.206 0.172 0.225 0.460 0.391 0.289 0.805 3.605
46 2008 3.667 1.579 1.064 0.710 0.430 0.187 0.174 0.216 0.247 0.439 0.419 0.285 0.785 3.667
47 2009 3.618 1.780 1.088 0.692 0.432 0.220 0.215 0.192 0.214 0.389 0.565 0.401 0.817 3.618
48 2010 3.433 1.737 1.238 0.707 0.420 0.308 0.185 0.237 0.232 0.483 0.379 0.344 0.809 3.433
49 2011 3.558 1.815 1.224 0.830 0.504 0.312 0.290 0.351 0.264 0.447 0.484 0.456 0.878 3.558
50 2012 3.361 1.785 1.032 0.820 0.503 0.471 0.206 0.201 0.242 0.350 0.393 0.517 0.823 3.361
51 2013 3.262 1.705 1.134 0.772 0.412 0.442 0.170 0.335 0.247 0.491 0.416 0.454 0.820 3.262
52 2014 3.848 1.649 1.129 0.683 0.680 0.170 0.241 0.204 0.265 0.314 0.406 0.395 0.832 3.848
53 2015 3.590 1.765 1.043 0.735 0.552 0.420 0.187 0.173 0.282 0.395 0.450 0.350 0.829 3.590
54 2016 3.488 1.725 1.274 0.807 0.446 0.233 0.275 0.262 0.204 0.439 0.492 0.416 0.839 3.488
55 2017 3.626 1.904 1.366 0.861 0.492 0.444 0.379 0.327 0.253 0.378 0.685 0.341 0.921 3.626
56 2018 3.207 1.615 1.027 0.728 0.506 0.330 0.159 0.157 0.210 0.328 0.392 0.381 0.753 3.207
56 56 56 56 56 56 56 56 56 56 56 56 56 56
3.469 1.695 1.122 0.759 0.487 0.326 0.217 0.238 0.259 0.380 0.437 0.371 0.813 3.469
0.257 0.117 0.093 0.151 0.080 0.212 0.051 0.069 0.033 0.062 0.093 0.090 0.059 0.257
7.397 6.876 8.326 19.841 16.436 65.046 23.343 29.057 12.692 16.250 21.281 24.284 7.264 7.397
4.101 2.057 1.439 1.493 0.700 1.647 0.379 0.450 0.340 0.594 0.878 0.652 1.030 4.101
3.051 1.458 0.949 0.494 0.362 0.157 0.150 0.145 0.161 0.284 0.329 0.208 0.731 3.051
10% 3.798 1.845 1.241 0.952 0.589 0.597 0.282 0.327 0.301 0.459 0.556 0.486 0.953 3.798
25% 3.643 1.774 1.185 0.861 0.541 0.469 0.251 0.285 0.281 0.421 0.499 0.432 0.887 3.643
75% 3.296 1.617 1.059 0.658 0.433 0.183 0.183 0.191 0.237 0.338 0.374 0.310 0.740 3.296
90% 3.140 1.546 1.002 0.566 0.384 0.054 0.152 0.149 0.217 0.300 0.318 0.255 0.674 3.140
FUENTE : SENAMHI DATE & HOUR OF PROCESS :
REGISTRO DE CAUDALES MENSUALES GENERADOS
REGISTRO GENERADO
(m³/s)
Captación Cuenca
Mantoreal
Departamento
Provincia
Distrito
02/08/2019 16:20
N° Datos
Media
Desv. Estandar
Coef. Variacion
Máximo
Mínimo
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18
CAUDAL
(m³/s)
MESES (PERIODO 2000-2009)
HISTOGRAMA
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
CAUDAL
(m³/s)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media
Máximo
Mínimo
10%
25%
75%
90%
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN
CAUDAL
(m³/s)
MESES
CURVA DE DISTRIBUCIÓN
Media
Máximo
Mínimo
10%
25%
75%
90%
Estacion : Latitud : 12º39'23.98" S : Cusco
Longitud : 72º07'30.96" W : La Convención
Altitud : 887.00 msnm : Echarati
Cuadro N° 16
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC MEDIA ANUAL QMÁX
1 1996 3.227 1.743 0.987 0.743 0.454 0.201 0.182 0.167 0.170 0.333 0.400 0.263 0.739 3.227
2 1997 3.341 1.835 1.091 0.708 0.433 0.360 0.162 0.282 0.172 0.700 0.463 0.373 0.827 3.341
3 1998 3.281 1.676 1.182 0.755 0.362 0.286 0.229 0.180 0.293 0.423 0.383 0.349 0.783 3.281
4 1999 3.790 2.057 1.179 1.070 0.615 0.241 0.345 0.145 0.236 0.332 0.386 0.331 0.894 3.790
5 2000 3.766 1.769 1.114 0.677 0.455 0.501 0.263 0.228 0.200 0.254 0.331 0.254 0.818 3.766
6 2001 3.691 1.782 1.159 0.584 0.433 0.388 0.254 0.357 0.495 0.270 0.663 0.365 0.870 3.691
7 2002 3.284 1.716 1.127 0.673 0.462 0.264 0.254 0.202 0.243 0.409 0.440 0.478 0.796 3.284
8 2003 3.373 1.738 1.189 0.972 0.972 0.354 0.167 0.197 0.293 0.345 0.360 0.436 0.866 3.373
9 2004 3.615 1.643 1.037 0.556 0.415 0.372 0.315 0.404 0.550 0.382 0.476 0.270 0.836 3.615
10 2005 3.080 1.611 1.113 0.727 0.567 0.272 0.196 0.199 0.141 0.344 0.194 0.423 0.739 3.080
11 2006 3.539 1.680 1.147 0.822 0.376 0.244 0.219 0.150 0.213 0.398 0.467 0.430 0.807 3.539
12 2007 3.605 1.458 1.203 0.922 0.302 0.239 0.172 0.135 0.175 0.231 0.391 0.289 0.760 3.605
12 12 12 12 12 12 12 12 12 12 12 12 12 12
3.466 1.726 1.127 0.767 0.487 0.310 0.230 0.221 0.265 0.368 0.413 0.355 0.811 3.466
0.232 0.142 0.065 0.154 0.174 0.086 0.059 0.085 0.130 0.121 0.110 0.076 0.051 0.232
6.686 8.257 5.756 20.093 35.762 27.669 25.633 38.656 48.916 32.840 26.586 21.308 6.255 6.686
3.790 2.057 1.203 1.070 0.972 0.501 0.345 0.404 0.550 0.700 0.663 0.478 0.894 3.790
3.080 1.458 0.987 0.556 0.302 0.201 0.162 0.135 0.141 0.231 0.194 0.254 0.739 3.080
10% 3.763 1.908 1.211 0.965 0.710 0.420 0.305 0.330 0.431 0.524 0.553 0.452 0.964 0.731
25% 3.622 1.822 1.171 0.871 0.605 0.368 0.270 0.278 0.353 0.450 0.487 0.406 0.892 0.664
75% 3.310 1.629 1.084 0.663 0.370 0.252 0.190 0.163 0.178 0.287 0.339 0.304 0.731 0.516
90% 3.169 1.543 1.044 0.570 0.264 0.200 0.154 0.111 0.099 0.213 0.272 0.258 0.658 0.449
FUENTE : AFOROS PMI
Mínimo
REGISTRO DE CAUDALES MENSUALES AFORADOS
REGISTRO HISTÓRICO COMPLETADO
(m³/s)
Captación
Mantoreal
Departamento
Provincia
Distrito
N° Datos
Media
Desv. Estandar
Coef. Variacion
Máximo
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
96 97 98 99 00 01 02 03 04 05 06 07 08
CAUDAL
(m³/s)
MESES (PERIODO 1996-2018)
HISTOGRAMA
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
CAUDAL
(m³/s)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media
Máximo
Mínimo
10%
25%
75%
90%
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN
CAUDAL
(m³/s)
MESES
CURVA DE DISTRIBUCIÓN
Media
Máximo
Mínimo
10%
25%
75%
90%
COMPARACIÓN DE CAUDALES MENSUALES
CAUDALES ASUMIDOS PARA DISEÑO
(m³/s)
Estacion : Latitud : 12º39'23.98" S : Cusco
Longitud : 72º07'30.96" W : La Convención
Altitud : 887.00 msnm : Echarati
Cuadro N° 17
REGISTRO CAUDAL ENE FEB MAR ABR MAY JUN JUL* AGO** SET* OCT NOV DIC MEDIA ANUAL QMÁX QMIN
HISTÓRICO Q(Histórico-Aforado) 0.764 0.537 0.328 0.235 0.230 0.268 0.373 0.428 0.365 0.392 0.764 0.230
Q(75% Histórico-Aforado) 0.565 0.390 0.272 0.199 0.164 0.172 0.241 0.205 0.276 0.565 0.164
HISTÓRICO Q(Histórico-Completado) 3.466 1.726 1.127 0.767 0.487 0.310 0.230 0.221 0.265 0.368 0.413 0.355 0.811 3.466 0.221
Q(75% Histórico-Completado) 3.310 1.629 1.084 0.663 0.370 0.252 0.190 0.163 0.178 0.287 0.339 0.304 0.731 3.310 0.163
GENERADO Q(Generado) 3.469 1.695 1.122 0.759 0.487 0.326 0.217 0.238 0.259 0.380 0.437 0.371 0.813 3.469 0.217
Q(75% Generado) 3.296 1.617 1.059 0.658 0.433 0.183 0.183 0.191 0.237 0.338 0.374 0.310 0.740 3.296 0.183
ASUMIDO Q(Medio Asumido) 3.469 1.695 1.122 0.759 0.487 0.326 0.217 0.238 0.259 0.380 0.437 0.371 0.813 3.469 0.217
Q(75% Asumido) 3.296 1.617 1.059 0.565 0.370 0.252 0.190 0.163 0.172 0.241 0.205 0.304 0.703 3.296 0.163
MES CRÍTICO Q(Crítico) 0.190 0.163 0.172 0.175 0.190 0.163
QAFORADO = caudal medio aforado de los registros históricos con los que se cuenta
Q COMPLETADO = caudal medio del registro histórico completado
Q GENERADO = caudal medio del registro generado
Q 75% = caudal al 75% de probabilidad del registro generado
Captación Cuenca
Mantoreal
Departamento
Provincia
Distrito
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
ENE FEB MAR ABR MAY JUN JUL* AGO** SET* OCT NOV DIC
Comparación de Caudales Históricos, Completados y Generados (m³/s )
Q(Histórico-Aforado)
Q(75% Histórico-Aforado)
Q(Histórico-Completado)
Q(75% Histórico-Completado)
Q(Generado)
Q(75% Generado)
Q(Medio Asumido)
Q(75% Asumido)
3.296
1.617
1.059
0.565
0.370
0.252 0.190 0.163 0.172 0.241 0.205
0.304
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
ENE FEB MAR ABR MAY JUN JUL* AGO** SET* OCT NOV DIC
Caudales Asumidos (m³/s )
Q(Medio Asumido)
Q(75% Asumido)
DETERMINACION DEL COEFICIENTE DE ESCORRENTIA C
CUENCA DEL RÍO MANTOREAL
Mes # Días P75% (mm) A (m²) V (m³) t (s) Qp (m³ / s) Qg75% (m³ / s) Q infil. C
Ene 31 223.91 31,747,085 7,108,341 2,678,400 2.654
Feb 28 213.99 31,747,085 6,793,697 2,419,200 2.808 1.617 1.192 0.58
Mar 31 199.95 31,747,085 6,347,741 2,678,400 2.370 1.059 1.311 0.45
Abr 30 98.24 31,747,085 3,118,952 2,592,000 1.203 0.565 0.638 0.47
May 31 35.65 31,747,085 1,131,785 2,678,400 0.423 0.370 0.053 0.87
Jun 30 5.58 31,747,085 177,296 2,592,000 0.068
Jul 31 20.15 31,747,085 639,742 2,678,400 0.239 0.190 0.049 0.80
Ago 31 21.22 31,747,085 673,741 2,678,400 0.252 0.163 0.089 0.65
Set 30 49.18 31,747,085 1,561,185 2,592,000 0.602 0.172 0.431 0.29
Oct 31 110.72 31,747,085 3,515,176 2,678,400 1.312 0.241 1.072 0.18
Nov 30 98.56 31,747,085 3,129,009 2,592,000 1.207 0.205 1.003 0.17
Dic 31 179.88 31,747,085 5,710,529 2,678,400 2.132 0.304 1.828 0.14
Coeficiente de Escorrentia Promedio: Cp = 0.46
Coeficiente de Escorrentia Ponderado: Cp = 0.50
Coeficiente de Escorrentia Adoptado: Ca = 0.46
Cuadro N° 18
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Ene
Feb
Mar
Abr
May
Jun
Jul
Ago
Set
Oct
Nov
Dic
Cp
Ca
CUENCA DEL RÍO MANTOREAL
Cuadro N° 19
CAUDAL ANCHO CAUDAL PENDIENTE DIAMETRO GASTO
Q B UNITARIO I D40 QS
m3/seg m lit/seg/m m/m mm Kg/seg
1 Jul 0.217 5.500 39.496 0.022 0.010
2 Ago 0.238 5.500 43.281 0.022 0.010
3 Set 0.259 5.500 47.109 0.022 0.010
4 Oct 0.380 5.500 69.003 0.022 0.010
5 Nov 0.437 5.500 79.390 0.022 0.010
6 Dic 0.371 5.500 67.419 0.022 0.010
7 Ene 3.469 5.500 630.794 0.022 0.010 2.891
8 Feb 1.695 5.500 308.242 0.022 0.010 0.188
9 Mar 1.122 5.500 203.944 0.022 0.010
10 Abr 0.759 5.500 138.033 0.022 0.010
11 May 0.487 5.500 88.475 0.022 0.010
12 Jun 0.326 5.500 59.209 0.022 0.010
9.759 66.000 1,774.394 0.269 0.122 3.079
12 12 12 12 12 2
0.813 5.500 213.832 0.022 0.010 1.539
0.944 171.566 1.912
GASTO SOLIDO ANUAL - RÍO MANTOREAL (TM/año) 7,981
QS = CAUDAL SOLIDO kg/seg
B = ANCHO MEDIO DEL CAUCE m
q = CAUDAL POR UNIDAD DE ANCHO m3
/seg/m
D40 = DIAMETRO CRITICO DE LOS GRANULOS m
I = PENDIENTE DEL CAUCE m/m
n
Promedio
Desviacion
ANALISIS DE GASTO SOLIDO
FORMULA SCHOKLITSCH - GILBERT- GEHRIG
QS = 2,500 x I3/2
x [ q - 0.60 x B x dm
3/2
x I- 7/6
]
Nº MES
Suma
VARIABLES CLIMATICAS
VARIABLES UNIDAD JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN TOTAL PROMEDIO
31 31 30 31 30 31 31 28 31 30 31 30
CUENCAS
1. Cuenca Mantoreal
PRECIPITACION MEDIA MENSUAL P mm 37.19 39.90 72.05 147.40 153.21 228.19 279.25 261.72 261.26 138.91 57.24 30.67 1,706.98 142.25
DESVIACION ESTANDAR S mm 25.24 27.67 33.88 54.34 80.96 71.57 81.99 70.71 90.83 60.25 31.99 37.16 666.59 55.55
PRECIP.AL 75 % PERSISTENCIA P75 mm 20.16 21.24 49.19 110.75 98.60 179.91 223.95 214.03 199.99 98.27 35.67 5.60 1,257.37 104.78
P.EFECTIVA AL 75 % PERSISTENCIA PE75 mm 19.16 20.17 45.54 88.40 81.87 105.52 107.72 107.22 106.52 81.66 33.37 5.32 802.46 66.87
TEMPERATURA MEDIA MENSUAL TMED Cº 14.88 15.67 16.34 17.09 17.21 16.73 16.55 16.58 16.57 16.42 15.85 16.03 195.93 16.33
TEMPERATURA MAXIMA MEDIA MENSUAL TMAX Cº 22.60 23.21 23.19 23.38 23.22 22.19 21.70 21.76 22.00 22.38 22.67 22.69 270.99 22.58
TEMPERATURA MINIMA MEDIA MENSUAL TMIN Cº 7.15 8.16 9.58 10.78 11.19 11.38 11.45 11.51 11.21 10.50 9.06 7.73 119.69 9.97
HORAS DE SOL (HORAS Y DECIMOS SOL) MENSUAL n hr 186.32 181.83 152.70 143.98 134.14 108.55 107.96 99.02 120.75 142.82 172.31 175.39 1,725.77 143.81
EVAPORACIÓN MEDIA MENSUAL e mm 104.66 108.77 104.51 109.45 100.22 88.91 80.09 80.05 68.69 71.63 81.97 93.12 1,092.06 91.01
HUMEDAD RELATIVA MEDIA MENSUAL H.R. % 79.58 80.23 79.31 83.77 84.69 86.85 89.58 89.69 87.85 86.62 83.93 79.83 1,011.93 84.33
VELOCIDAD DEL VIENTO MEDIA MENSUAL Vv m/s 1.78 1.75 1.59 1.68 1.51 1.60 1.64 1.65 1.96 1.76 1.79 1.81 20.51 1.71
SISTEMAS DE RIEGO
2. Área de Cultivos
PRECIPITACION MEDIA MENSUAL P mm 20.93 22.08 40.25 84.49 85.71 127.37 154.55 144.25 144.37 76.72 31.91 17.08 949.70 79.14
DESVIACION ESTANDAR S mm 14.01 14.58 18.46 30.03 40.61 39.65 41.19 34.89 47.13 31.23 17.08 20.15 348.99 29.08
PRECIP.AL 75 % PERSISTENCIA P75 mm 11.48 12.25 27.80 64.23 58.32 100.63 126.77 120.72 112.58 55.65 20.39 3.49 714.31 59.53
P.EFECTIVA AL 75 % PERSISTENCIA PE75 mm 10.91 11.64 26.29 57.74 53.00 83.19 96.41 93.38 89.31 50.87 19.37 3.32 595.41 49.62
TEMPERATURA MEDIA MENSUAL TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63
TEMPERATURA MAXIMA MEDIA MENSUAL TMAX Cº 31.82 32.48 33.00 32.98 32.57 31.37 30.81 30.67 31.11 31.52 31.66 31.86 381.86 31.82
TEMPERATURA MINIMA MEDIA MENSUAL TMIN Cº 17.90 18.53 19.06 20.22 20.52 20.31 20.26 20.24 20.04 19.98 19.52 18.64 235.24 19.60
HORAS DE SOL (HORAS Y DECIMOS SOL) MENSUAL n hr 186.32 181.83 152.70 143.98 134.14 108.55 107.96 99.02 120.75 142.82 172.31 175.39 1,725.77 143.81
EVAPORACIÓN MEDIA MENSUAL e mm 104.66 108.77 104.51 109.45 100.22 88.91 80.09 80.05 68.69 71.63 81.97 93.12 1,092.06 91.01
HUMEDAD RELATIVA MEDIA MENSUAL H.R. % 71.94 68.29 69.47 74.27 75.64 80.33 81.69 82.50 81.56 81.06 78.33 74.50 919.57 76.63
VELOCIDAD DEL VIENTO MEDIA MENSUAL Vv m/s 2.00 2.24 2.01 2.07 1.91 1.90 1.63 1.55 1.64 1.64 1.74 1.98 22.30 1.86
Cuadro N° 20
MESES DEL AÑO PROMEDIO
EVAPOTRANSPIRACIÓN POTENCIAL - ÁREA DE CULTIVOS
MÉTODO / VARIABLES UNIDAD JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN TOTAL PROMEDIO
31 31 30 31 30 31 31 28 31 30 31 30
E.T.P. - THORNTHWAITE Etp mm 104.81 116.36 124.28 143.61 142.27 132.53 127.65 111.37 122.89 118.03 116.68 101.33 1,461.83 121.82
Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63
Índice Térmico Mensual i 11.32 11.75 12.12 12.56 12.54 11.91 11.76 11.68 11.81 11.93 11.82 11.33 142.53 11.88
E.T.P. Sin Corregir e mm 107.85 117.28 125.84 136.50 135.83 120.83 117.37 115.63 118.51 121.37 118.85 108.07 1,443.93 120.33
Factor de Corrección por Duración Media de Horas Sol f 0.98 1.00 1.00 1.07 1.06 1.11 1.10 0.98 1.05 0.98 0.99 0.95 12.28 1.02
Altura de la Estación en Estudio Z m.s.n.m. 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00
Factor de Correccion por Altura F.C.A. 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 11.85 0.99
Evapotranspiración Potencial Mensual Etp mm 104.81 116.36 124.28 143.61 142.27 132.53 127.65 111.37 122.89 118.03 116.68 101.33 1,461.83 121.82
E.T.P. - HARGREAVES III - MODIFICADO Etp mm 120.53 131.88 132.69 141.05 137.52 123.00 123.52 111.22 123.87 122.17 122.53 111.69 1,501.68 125.14
Altura de la Estación en Estudio Z m.s.n.m. 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00
Factor de Correccion por Altura F.C.A. 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 12.57 1.05
Radiacion Extra-Terrestre Ra mm 367.94 406.15 439.04 489.80 492.98 511.50 515.62 457.32 476.38 417.05 383.44 344.07 5,301.29 441.77
Horas Teoricas de Fuerte Insolacion N hr 354.66 362.51 360.00 384.59 381.19 398.64 395.54 350.17 376.75 354.00 356.31 340.22 4,414.57 367.88
Horas De Sol (Horas Y Decimos Sol) Mensual n hr 186.32 181.83 152.70 143.98 134.14 108.55 107.96 99.02 120.75 142.82 172.31 175.39 1,725.77 143.81
Radiacion Solar Media R.S.M. 200.01 215.74 214.45 224.77 219.33 200.19 202.04 182.39 202.27 198.68 199.99 185.28 2,445.13 203.76
Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63
Evapotranspiración Potencial Mensual Etp mm 120.53 131.88 132.69 141.05 137.52 123.00 123.52 111.22 123.87 122.17 122.53 111.69 1,501.68 125.14
E.T.P. - HARGREAVES Etp mm 91.94 109.48 117.58 122.18 119.53 109.15 105.63 91.34 98.09 87.41 85.63 81.98 1,219.95 101.66
Radiacion Extra-Terrestre Ra mm 367.94 406.15 439.04 489.80 492.98 511.50 515.62 457.32 476.38 417.05 383.44 344.07 5,301.29 441.77
Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63
Humedad Relativa Media Mensual H.R. % 71.94 68.29 69.47 74.27 75.64 80.33 81.69 82.50 81.56 81.06 78.33 74.50 919.57 76.63
Altura de la Estación en Estudio Z m.s.n.m. 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 9,480.00 790.00
Evapotranspiración Potencial Mensual Etp mm 91.94 109.48 117.58 122.18 119.53 109.15 105.63 91.34 98.09 87.41 85.63 81.98 1,219.95 101.66
E.T.P. - TURC Etp mm 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51 1,190.05 99.17
Horas De Sol (Horas Y Decimos Sol) Mensual n hr 6.01 5.87 5.09 4.64 4.47 3.50 3.48 3.54 3.90 4.76 5.56 5.85 56.66 4.72
Horas Teoricas de Fuerte Insolacion N hr 11.44 11.69 12.00 12.41 12.71 12.86 12.76 12.51 12.15 11.80 11.49 11.34 145.16 12.10
Relación n/N 0.53 0.5 0.42 0.37 0.35 0.27 0.27 0.28 0.32 0.4 0.48 0.52 4.71 0.39
Coeficiente (a) en función de (n/N) - de Gráfico a 0.29 0.28 0.24 0.20 0.18 0.09 0.09 0.10 0.14 0.23 0.28 0.29 2.41 0.20
Coeficiente (b) en función de (n/N) - de Gráfico b 0.43 0.44 0.48 0.53 0.57 0.80 0.80 0.77 0.64 0.50 0.45 0.43 6.82 0.57
Radiacion Extra-Terrestre Ra mm 11.87 13.10 14.63 15.80 16.43 16.50 16.63 16.33 15.37 13.90 12.37 11.47 174.41 14.53
Radiación Total Entrante Rg mm 6.19 6.59 6.49 6.24 6.13 5.07 5.12 5.16 5.32 5.93 6.06 5.91 70.21 5.85
Radiación Total Entrante Rg cal/cm²/día 365.10 388.82 382.66 368.41 361.73 299.42 301.83 304.40 313.89 350.06 357.30 348.92 4,142.54 345.21
Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63
K 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.37 0.40 0.40 0.40 0.40 4.77 0.40
Humedad Relativa Media Mensual HR % 71.94 68.29 69.47 74.27 75.64 80.33 81.69 82.50 81.56 81.06 78.33 74.50 919.57 76.63
Evapotranspiración Potencial Mensual Etp mm 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51 1,190.05 99.17
E.T.P. - PENMAN - MONTEITH Etp mm 106.72 116.66 118.74 127.46 125.48 118.96 119.56 106.93 115.96 109.98 108.27 98.96 1,373.68 114.47
Horas De Sol (Horas Y Decimos Sol) Mensual n hr 186.32 181.83 152.70 143.98 134.14 108.55 107.96 99.02 120.75 142.82 172.31 175.39 1,725.77 143.81
Horas Teoricas de Fuerte Insolacion N hr 354.66 362.51 360.00 384.59 381.19 398.64 395.54 350.17 376.75 354.00 356.31 340.22 4,414.57 367.88
Relación n/N 0.53 0.50 0.42 0.37 0.35 0.27 0.27 0.28 0.32 0.40 0.48 0.52 4.73 0.39
Radiacion Extra-Terrestre Ra mm 367.94 406.15 439.04 489.80 492.98 511.50 515.62 457.32 476.38 417.05 383.44 344.07 5,301.29 441.77
Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63
Humedad Relativa Media Mensual HR % 71.94 68.29 69.47 74.27 75.64 80.33 81.69 82.50 81.56 81.06 78.33 74.50 919.57 76.63
Radiación del Cuerpo Negro - de Tabla GTk4
mm 15.77 15.89 16.01 16.15 16.14 15.96 15.92 15.90 15.93 15.97 15.93 15.78 191.36 15.95
Factor - de Tabla D/g * Po/P 3.12 3.22 3.31 3.42 3.41 3.26 3.22 3.21 3.24 3.27 3.24 3.12 39.05 3.25
Presión de Vapor Saturante - de Tabla ea milibares 32.75 33.90 34.98 36.39 36.34 34.58 34.17 33.97 34.32 34.66 34.29 32.83 413.19 34.43
ed milibares 23.56 23.15 24.30 27.03 27.49 27.78 27.92 28.02 27.99 28.10 26.86 24.46 316.66 26.39
Velocidad Del Viento Media Mensual Vv m/s 2.00 2.24 2.01 2.07 1.91 1.90 1.63 1.55 1.64 1.64 1.74 1.98 22.30 1.86
Evapotranspiración Potencial Mensual Etp mm 106.72 116.66 118.74 127.46 125.48 118.96 119.56 106.93 115.96 109.98 108.27 98.96 1,373.68 114.47
E.T.P. - PROMEDIO MÁXIMOS Etp mm 112.67 124.12 128.49 142.33 139.90 127.77 125.59 111.30 123.38 120.10 119.61 106.51 1,481.75 123.48
E.T.P. - PROMEDIO TOTAL Etp mm 105.51 116.97 120.60 128.27 126.01 114.37 112.98 100.65 110.50 107.73 107.15 98.69 1,349.44 112.45
E.T.P. - PROMEDIO MÍNIMOS Etp mm 100.73 112.19 115.35 118.89 116.76 105.44 104.58 93.55 101.91 99.48 98.85 93.48 1,261.23 105.10
E.T.P. - ASUMIDO Etp mm 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51 1,190.05 99.17
DATE & HOUR OF PROCESS : 02/08/2019
Cuadro N° 21
MESES DEL AÑO PROMEDIO
21.2
Page 22
JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN
THORNTHWAITE 104.81 116.36 124.28 143.61 142.27 132.53 127.65 111.37 122.89 118.03 116.68 101.33
HARGREAVES III - MODIFICADO 120.53 131.88 132.69 141.05 137.52 123.00 123.52 111.22 123.87 122.17 122.53 111.69
HARGREAVES 91.94 109.48 117.58 122.18 119.53 109.15 105.63 91.34 98.09 87.41 85.63 81.98
TURC 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51
PENMAN - MONTEITH 106.72 116.66 118.74 127.46 125.48 118.96 119.56 106.93 115.96 109.98 108.27 98.96
PROMEDIO MÁXIMOS 112.67 124.12 128.49 142.33 139.90 127.77 125.59 111.30 123.38 120.10 119.61 106.51
PROMEDIO TOTAL 105.51 116.97 120.60 128.27 126.01 114.37 112.98 100.65 110.50 107.73 107.15 98.69
PROMEDIO MÍNIMOS 100.73 112.19 115.35 118.89 116.76 105.44 104.58 93.55 101.91 99.48 98.85 93.48
ASUMIDO 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51
0.00
20.00
40.00
60.00
80.00
100.00
120.00
140.00
160.00
ETP
(
mm
)
Mes
EVAPOTRANSPIRACIÓN POTENCIAL
THORNTHWAITE HARGREAVES III - MODIFICADO HARGREAVES
TURC PENMAN - MONTEITH PROMEDIO MÁXIMOS
PROMEDIO TOTAL PROMEDIO MÍNIMOS ASUMIDO
Estacion : QUILLABAMBA Latitud : 12º51'21'' S : Cusco
Tipo : CP-606 Longitud : 72º41'30'' W : La Convención
Altitud : 990.00 msnm : Santa Ana
N°
REGISTRO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL PMAXANUAL
1 1963
2 1964 0.00 0.00 8.00 15.50 20.50 36.00 80.00 36.00
3 1965 19.00 31.00 41.00 36.00 2.00 1.00 21.80 10.40 37.00 24.20 15.90 28.00 267.30 41.00
4 1966 18.00 35.50 14.50 12.50 26.20 5.50 7.20 8.00 21.00 22.80 38.00 17.70 226.90 38.00
5 1967 17.00 30.00 25.00 12.20 7.20 8.00 18.00 8.90 15.00 18.20 17.50 25.30 202.30 30.00
6 1968 38.70 19.60 35.00 31.20 4.70 1.60 17.00 12.90 9.90 13.50 17.70 36.70 238.50 38.70
7 1969 19.90 20.80 26.50 22.30 11.00 30.00 6.50 5.90 7.50 12.50 35.00 22.20 220.10 35.00
8 1970 34.80 11.60 40.20 29.50 26.80 9.40 7.20 5.20 15.00 22.00 12.80 29.50 244.00 40.20
9 1971 15.00 42.50 22.00 24.30 15.50 29.70 1.50 3.70 15.00 8.80 17.70 17.20 212.90 42.50
10 1972 32.00 16.40 35.40 16.60 13.70 3.00 5.40 25.20 8.80 7.00 25.50 42.70 231.70 42.70
11 1973 28.60 33.40 19.50 26.20 12.90 8.00 20.00 24.80 14.30 34.00 35.70 30.80 288.20 35.70
12 1974 30.60 28.20 25.90 26.60 4.00 5.50 20.80 24.50 17.70 13.00 18.00 22.00 236.80 30.60
13 1975 42.20 32.50 39.80 33.00 14.50 7.50 9.00 16.50 14.20 16.50 42.40 32.60 300.70 42.40
14 1976 35.00 33.50 26.50 21.50 10.90 4.00 2.90 27.30 33.00 15.20 11.50 29.80 251.10 35.00
15 1977 31.00 40.20 21.90 9.30 35.60 1.40 18.00 1.20 21.10 8.50 19.80 28.30 236.30 40.20
16 1978 35.80 21.00 21.20 15.80 60.20 7.50 0.00 0.00 0.00 36.40 14.50 44.80 257.20 60.20
17 1979 30.60 20.70 18.80 16.20 11.40 0.00 10.50 1.30 2.80 11.20 31.20 33.40 188.10 33.40
18 1980 19.80 32.10 27.20 38.10 17.00 7.00 23.50 12.30 16.00 16.30 20.00 23.30 252.60 38.10
19 1981 27.20 39.50 39.50 27.50 10.50 144.20 39.50
20 1982
21 1983
22 1984
23 1985
24 1986 0.00 0.00 0.00 0.00 58.00 41.80 99.80 58.00
25 1987 132.50 62.00 48.80 89.10 11.20 28.50 4.20 0.00 21.00 30.00 100.00 60.00 587.30 132.50
26 1988 46.00 82.20 77.00 41.20 25.00 0.00 0.00 0.00 22.40 29.20 37.40 360.40 82.20
27 1989 30.40 21.00 18.00 0.00 21.50 24.80 27.80 18.40 20.80 50.70 233.40 50.70
28 1990 78.40 63.10 45.20 60.70 68.00 8.20 25.30 32.50 56.80 39.80 40.80 518.80 78.40
29 1991 48.10 52.50 47.20 48.90 21.30 218.00 52.50
30 1992 23.30 22.10 28.10 31.10 104.60 31.10
31 1993
32 1994
33 1995
34 1996 22.00 21.00 18.00 15.40 21.00 2.50 6.10 16.70 17.80 17.50 17.00 20.50 195.50 22.00
35 1997 30.70 40.20 20.20 17.20 11.00 16.80 3.00 29.50 20.00 32.40 32.00 20.90 273.90 40.20
36 1998 39.40 24.50 38.40 19.20 4.20 4.80 0.00 1.00 63.80 24.80 12.00 34.30 266.40 63.80
37 1999 27.50 59.00 46.40 49.50 26.50 6.40 6.60 0.00 13.70 26.50 20.50 25.90 308.50 59.00
38 2000 57.90 44.70 20.00 15.50 7.60 15.80 0.60 14.20 17.00 25.30 13.10 20.00 251.70 57.90
39 2001 44.70 44.30 30.30 14.00 10.60 2.20 15.00 9.50 11.20 33.20 16.50 231.50 44.70
40 2002 21.80 54.50 47.10 10.30 9.20 5.50 12.90 23.10 8.00 25.30 25.20 57.10 300.00 57.10
41 2003 46.20 36.00 30.00 24.60 5.60 3.40 5.00 27.50 22.30 20.40 22.30 27.00 270.30 46.20
42 2004 21.20 31.00 21.80 18.40 6.60 38.10 14.50 14.00 19.20 28.90 20.00 233.70 38.10
43 2005 29.40 28.30 28.20 26.20 24.60 6.90 20.30 5.20 15.70 18.50 8.10 40.60 252.00 40.60
44 2006 49.00 23.40 43.60 39.20 4.20 8.20 4.50 14.80 5.90 18.80 25.90 26.90 264.40 49.00
45 2007 52.60 18.90 20.30 31.50 17.30 10.20 7.10 5.50 38.00 32.30 19.70 253.40 52.60
46 2008 53.10 22.80 15.60 34.00 7.90 0.60 10.80 19.20 18.50 24.20 16.20 27.80 250.70 53.10
47 2009 38.20 28.00 9.80 6.50 2.30 7.80 4.00 5.00 33.20 54.00 25.20 214.00 54.00
48 2010 18.40 83.80 36.80 26.80 7.60 9.40 9.00 13.40 22.20 54.60 25.40 26.60 334.00 83.80
49 2011 24.20 34.60 30.40 28.00 15.20 12.00 12.40 26.80 7.80 49.00 34.00 31.00 305.40 49.00
50 2012 30.40 21.40 26.80 10.40 10.20 16.20 12.40 12.40 38.80 179.00 38.80
51 2013 20.60 34.60 30.20 38.00 7.60 10.00 34.00 26.40 31.40 31.20 34.20 298.20 38.00
52 2014 39.40 46.00 42.00 14.80 22.40 0.00 17.60 4.60 16.00 19.00 29.00 30.60 281.40 46.00
53 2015 31.80 32.00 27.80 16.00 12.80 10.50 130.90 32.00
54 2016
55 2017
56 2018
41 41 43 41 41 40 40 40 39 40 40 42 45 45
35.70 36.30 31.47 26.51 15.84 8.99 10.26 13.01 16.82 22.97 27.34 30.85 251.02 47.79
20.40 16.35 11.98 14.39 12.73 12.21 8.45 10.10 11.52 12.13 16.29 10.33 88.21 18.56
57.14 45.04 38.06 54.30 80.36 135.75 82.35 77.60 68.52 52.81 59.57 33.48 35.14 38.83
132.50 83.80 77.00 89.10 60.70 68.00 38.10 34.00 63.80 56.80 100.00 60.00 587.30 132.50
15.00 11.60 14.50 9.30 2.00 0.00 0.00 0.00 0.00 0.00 8.10 16.50 80.00 22.00
Prec. 10% 61.85 57.26 46.82 44.96 32.17 24.64 21.08 25.95 31.59 38.52 48.23 44.10 39.76 37.92
Prec. 25% 49.47 47.33 39.55 36.23 24.44 17.23 15.96 19.82 24.60 31.15 38.34 37.83 31.83 30.36
Prec. 75% 21.93 25.26 23.38 16.79 7.25 0.75 4.55 6.20 9.04 14.78 16.35 23.88 14.18 13.54
Prec. 90% 9.55 15.34 16.11 8.06 -0.48 -6.66 -0.57 0.07 2.05 7.42 6.46 17.61 6.25 5.97
FUENTE : SENAMHI
Distrito
REGISTRO DE PRECIPITACION MAXIMA EN 24 hr
REGISTROS HISTÓRICOS
(mm)
Departamento
Provincia
P. maxima 24 hr Min.
Cuadro N° 22
N° Datos
Media
Desv. Estandar
Coef. Variacion
P. maxima 24 hr Max.
0
20
40
60
80
100
120
140
160
180
200
63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
PRECIPITACION
(mm)
MESES (PERIODO 1963 - 2015)
HISTOGRAMA
0
20
40
60
80
100
120
140
160
180
200
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
PRECIPITACION
(mm)
MESES
CURVAS DE VARIACIÓN ESTACIONAL
Media P. maxima 24 hr Max. P. maxima 24 hr Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
PERIODO DE RETORNO (Tr) Y PROBABILIDAD DE OCURRENCIA (P) - VIDA ÚTIL (n) Y RIESGO DE FALLA (R)
Cuadro N° 23
PERIODO DE RETORNO (Tr) Y PROBABILIDAD DE
OCURRENCIA (P)
VIDA ÚTIL (n) Y RIESGO DE FALLA ('R) - (Tr = n) VIDA ÚTIL (n) Y RIESGO DE FALLA ('R) - (R = P)
VIDA ÚTIL (n) Y RIESGO DE FALLA ('R) - (R =
ASUMIDO)
N°
PERIODO DE
RETORNO
PROBABILIDAD DE
OCURRENCIA
PROBABILIDAD DE
NO OCURRENCIA
VIDA ÚTIL
RIESGO DE FALLA
(Tr = n)
PERIODO DE
RETORNO
CALCULADO
VIDA ÚTIL
RIESGO DE FALLA
(R = P)
PERIODO DE
RETORNO
CALCULADO
VIDA ÚTIL
RIESGO DE FALLA
(R = ASUMIDO)
PERIODO DE
RETORNO
CALCULADO
TIPO DE
Tr P (X >= x) = 1 / T P (X < x) = 1 - 1/T n R Tr n R Tr n R Tr INFRAESTRUCTURA
años años % años años % años años % años
1 0.003 365 -364 0.003 0.003 0.003
2 0.083 12 -11 0.083 0.083 0.083
3 1 1 0 1 100.00% 1 1 100.00% 1 1 25.00% 4
4 2 0.5 0.5 2 75.00% 2 2 50.00% 3 2 25.00% 7
5 4 0.25 0.75 4 68.36% 4 4 25.00% 14 4 25.00% 14
6 5 0.2 0.8 5 67.23% 5 5 20.00% 23 5 25.00% 18
7 8 0.125 0.875 8 65.64% 8 8 12.50% 60 8 25.00% 28
8 10 0.1 0.9 10 65.13% 10 10 10.00% 95 10 22.00% 41 Acueductos, pases aéreos, canales
9 20 0.05 0.95 20 64.15% 20 20 5.00% 390 20 22.00% 81 Acueductos, pases aéreos, canales
10 25 0.04 0.96 25 63.96% 25 25 4.00% 613 25 22.00% 101 Acueductos, pases aéreos, canales
11 40 0.025 0.975 40 63.68% 40 40 2.50% 1,580 40 22.00% 161
12 50 0.02 0.98 50 63.58% 50 50 2.00% 2,475 50 22.00% 202 Presas derivadoras (bocatomas)
13 80 0.0125 0.9875 80 63.44% 80 80 1.25% 6,360 80 22.00% 322 Presas derivadoras (bocatomas)
14 100 0.01 0.99 100 63.40% 100 100 1.00% 9,950 100 22.00% 403 Presas derivadoras (bocatomas)
15 200 0.005 0.995 200 63.30% 200 200 0.50% 39,900 200 25.00% 696
16 250 0.004 0.996 250 63.29% 250 250 0.40% 62,375 250 25.00% 870
17 400 0.0025 0.9975 400 63.26% 400 400 0.25% 159,800 400 25.00% 1,391
18 500 0.002 0.998 500 63.25% 500 500 0.20% 249,750 500 25.00% 1,739
19 1000 0.001 0.999 1000 63.23% 1,000 1000 0.10% 999,500 1000 25.00% 3,477
20 2000 0.0005 0.9995 2000 63.22% 2,000 2000 0.05% 3,999,000 2000 25.00% 6,953
21 5000 0.0002 0.9998 5000 63.22% 5,000 5000 0.02% 24,997,500 5000 25.00% 17,381
22 10000 0.0001 0.9999 10000 63.21% 10,000 10000 0.01% 99,995,000 10000 25.00% 34,761
02 cuadros hidrologia
02 cuadros hidrologia
02 cuadros hidrologia
02 cuadros hidrologia
02 cuadros hidrologia
02 cuadros hidrologia
02 cuadros hidrologia
02 cuadros hidrologia
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02 cuadros hidrologia

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02 cuadros hidrologia

  • 1. CARACTERISTICAS FISICAS Y PARAMETROS DE LA CUENCA MANTOREAL Cuadro N° 01 ÍTEM DESCRIPCION UNIDAD VARIABLE PARAMETRO 01. UBICACIÓN m Este (X) 760,250.70 m Norte (Y) 8,594,415.33 gº m' s'' Latitud S 12º42'13.90" gº m' s'' Longitud W 72º36'12.69" 02. AREA Y PERIMETRO DE LA CUENCA Area de la Cuenca Km2 AT 31.747 Perímetro de la Cuenca Km P 29.668 03. FRECUENCIA DE ALTITUDES Altitud Media de la Cuenca m.s.n.m. ZMedia 2,518.272 Altitud mas Frecuente m.s.n.m. ZFrec. 2,850.000 Altitud de Frecuencia Media m.s.n.m. ZFrec.Media 2,263.128 % de Área para la Altitud más Frecuente % 4.04% Desnivel de la Cuenca Km D HC 2.363 04. INDICES REPRESENTATIVOS Factor de Forma F 0.416 Indice de Compacidad o Indice de Gravelious: K 1.485 05. RECTANGULO EQUIVALENTE Largo Equivalente Km L 12.381 Ancho Equivalente Km B 2.564 06. INDICE DE PENDIENTE Índice de Pendiente Ip 0.407 07. PENDIENTE DE LA CUENCA Criterio del Rectangulo Equivalente Km/Km SC.1 0.191 Criterio de Alvord Km/Km SC.2 0.661 Pendiente de la Cuenca Km/Km SC 0.661 08. PERFIL LONGITUDINAL DEL CAUCE PRINCIPAL Longitud del Cauce Principal Km LRIO 14.145 Desnivel del Cauce Principal Km D HRIO 1.913 Longitud al Centroide Km LCG 7.870 09. PENDIENTE DEL CAUCE PRINCIPAL Metodo I : Pendiente Uniforme Km/Km SRÍO.1 0.135 Metodo II : Ecuacion de Taylor y Schwarz Km/Km SRÍO.2 0.050 Metodo III : Criterio de Nash Km/Km SRÍO.3 0.675 Pendiente del Cauce Principal Km/Km SRÍO 0.135 10. RED DE DRENAJE Orden de las Corrientes 2.000 Longitud de los Tributarios Km 16.040 Densidad de Corriente Dc 0.094 Densidad de Drenaje Km/Km² Dd 0.505 11. CURVA HIPSOMETRICA 12. POLÍGONO DE FRECUENCIAS 13. PERFIL LONGITUDINAL DEL CAUCE PRINCIPAL 14. CUENCA Centro de Gravedad de la Cuenca Coordenadas 800 1,200 1,600 2,000 2,400 2,800 3,200 0 4 8 12 16 20 24 28 32 Altitud (m.s.n.m.) Area (Km²) Curva Hipsométrica 0% 1% 2% 3% 4% 5% 887 1,000 1,125 1,250 1,375 1,500 1,625 1,750 1,875 2,000 2,125 2,250 2,375 2,500 2,625 2,750 2,875 3,000 3,125 3,250 % De Area entre cotas Altitud (m.s.n.m.) Poligono de Frecuencias 800 1,000 1,200 1,400 1,600 1,800 2,000 2,200 2,400 2,600 2,800 3,000 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Altitud (m.s.n.m.) Longitud (Km) Perfil Longitudinal del Cauce Principal
  • 2. Estacion : QUILLABAMBA Latitud : 12º51'21'' S : Cusco Tipo : CP-606 Longitud : 72º41'30'' W : La Convención Altitud : 990.00 msnm : Santa Ana N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 2 1964 27.70 21.00 48.00 89.00 185.70 3 1965 119.00 177.00 195.00 102.00 4.00 2.00 46.40 18.40 119.90 115.10 74.40 183.00 1,156.20 4 1966 94.20 140.20 96.80 21.70 49.20 5.50 14.70 13.30 39.40 136.60 112.40 132.10 856.10 5 1967 97.60 124.00 211.60 34.00 17.20 16.60 51.30 31.20 45.80 83.90 62.50 119.70 895.40 6 1968 224.70 168.10 153.00 60.20 8.80 4.10 25.60 50.60 37.80 76.80 116.40 132.30 1,058.40 7 1969 149.00 100.40 153.70 103.00 47.20 72.30 14.00 9.20 34.90 53.50 110.30 143.50 991.00 8 1970 207.70 63.80 202.30 116.60 60.30 23.50 20.40 8.60 36.30 86.20 57.40 205.20 1,088.30 9 1971 151.50 187.20 123.30 58.00 35.30 56.70 2.50 12.00 72.10 45.70 70.40 86.80 901.50 10 1972 185.60 137.50 126.40 51.80 27.40 5.70 7.60 84.20 24.90 40.20 158.10 136.70 986.10 11 1973 206.90 162.00 149.80 123.00 52.10 12.60 37.20 62.80 57.90 84.40 140.60 222.70 1,312.00 12 1974 185.10 191.90 88.00 120.90 10.20 11.90 26.60 67.30 28.70 50.90 39.90 64.30 885.70 13 1975 122.70 207.00 131.90 66.40 45.00 20.80 14.80 22.80 71.80 68.30 102.10 191.00 1,064.60 14 1976 201.60 194.40 110.20 94.30 25.30 4.00 3.80 61.30 120.70 26.70 26.30 125.00 993.60 15 1977 127.90 195.70 151.50 32.20 43.30 2.00 42.60 3.20 51.20 29.80 113.20 135.90 928.50 16 1978 277.70 103.90 127.00 68.40 88.70 11.10 0.00 0.00 0.00 96.70 63.80 228.50 1,065.80 17 1979 106.20 99.60 109.70 47.30 20.80 0.00 25.40 2.80 6.90 23.70 103.20 121.50 667.10 18 1980 125.60 169.50 175.40 84.80 26.20 10.40 47.30 30.70 53.60 119.40 51.10 47.10 941.10 19 1981 178.60 155.70 139.20 91.80 27.70 593.00 20 1982 21 1983 22 1984 23 1985 24 1986 187.00 249.60 436.60 25 1987 465.30 180.30 160.40 181.70 35.70 41.60 8.70 0.00 56.50 117.00 605.40 375.40 2,228.00 26 1988 430.00 534.70 594.50 435.60 139.20 0.00 0.00 0.00 160.00 117.00 140.90 330.50 2,882.40 27 1989 351.50 110.80 50.70 0.00 37.10 74.70 74.90 71.10 48.60 167.50 986.90 28 1990 436.60 235.50 191.50 74.00 140.80 220.30 19.70 65.00 127.90 246.10 232.30 202.70 2,192.40 29 1991 312.80 193.00 375.70 172.60 142.30 1,196.40 30 1992 107.50 111.40 171.90 103.50 494.30 31 1993 32 1994 33 1995 34 1996 149.60 206.80 103.00 76.70 36.20 6.50 8.60 37.30 40.80 71.20 86.90 75.20 898.80 35 1997 214.50 271.90 138.20 89.60 39.80 23.10 4.20 62.00 92.80 101.30 123.10 146.60 1,307.10 36 1998 171.50 152.40 244.90 90.50 4.20 6.00 0.00 1.80 88.10 107.20 59.00 173.50 1,099.10 37 1999 271.80 538.00 272.00 271.30 60.40 10.60 21.10 0.00 22.70 67.00 52.90 132.90 1,720.70 38 2000 315.40 243.70 180.40 74.20 20.10 56.30 1.40 37.20 35.30 50.30 34.70 85.00 1,134.00 39 2001 288.40 246.60 222.90 48.10 42.10 8.20 39.10 30.10 25.80 118.00 89.70 110.60 1,269.60 40 2002 119.20 195.40 200.20 45.30 32.40 15.60 69.30 71.90 36.00 89.00 108.50 219.90 1,202.70 41 2003 163.10 185.30 199.10 109.00 18.60 8.30 5.90 113.50 71.60 47.30 49.40 176.40 1,147.50 42 2004 179.70 153.40 125.70 83.80 43.00 19.70 59.40 44.30 55.10 122.80 119.60 94.60 1,101.10 43 2005 115.20 133.20 186.30 95.90 34.00 7.40 56.10 10.50 42.30 70.80 21.50 181.40 954.60 44 2006 173.90 157.00 196.80 121.10 7.60 28.90 4.50 28.20 17.80 98.90 102.00 189.40 1,126.10 45 2007 279.70 94.70 187.20 151.20 31.70 16.30 12.80 12.60 169.70 55.60 107.00 1,118.50 46 2008 241.40 162.50 153.90 85.10 14.20 1.80 13.00 19.20 36.60 135.90 92.50 108.60 1,064.70 47 2009 207.30 138.30 68.00 23.30 5.50 26.80 4.50 14.90 111.60 209.90 182.20 992.30 48 2010 121.70 236.30 263.90 59.30 20.80 21.80 15.70 23.70 33.30 188.20 77.70 151.60 1,214.00 49 2011 201.00 260.90 275.50 108.40 41.50 21.40 50.90 79.60 29.40 155.20 146.00 205.30 1,575.10 50 2012 193.60 114.70 108.20 37.20 18.50 20.40 78.90 76.80 239.80 888.10 51 2013 126.20 175.60 182.00 133.80 11.60 36.60 63.50 45.80 163.20 88.90 197.40 1,224.60 52 2014 318.80 157.50 153.70 75.30 115.00 0.00 44.20 16.30 45.90 37.50 77.40 182.70 1,224.30 53 2015 218.50 209.20 124.50 80.00 51.20 15.60 699.00 54 2016 55 2017 56 2018 41 41 43 43 41 39 38 39 39 40 40 42 45 204.32 190.74 184.97 100.68 40.00 21.30 23.61 33.58 51.00 93.03 107.21 161.72 1,109.98 93.04 92.18 89.30 68.60 31.50 36.73 19.31 29.10 35.15 47.88 93.65 66.16 454.76 45.54 48.33 48.28 68.14 78.75 172.45 81.78 86.66 68.92 51.47 87.35 40.91 40.97 465.30 538.00 594.50 435.60 140.80 220.30 69.30 113.50 160.00 246.10 605.40 375.40 2,882.40 94.20 63.80 88.00 21.70 4.00 0.00 0.00 0.00 0.00 23.70 21.50 47.10 185.70 Prec. 10% 323.60 308.92 299.45 188.63 80.38 68.39 48.37 70.89 96.06 154.41 227.27 246.54 176.08 Prec. 25% 267.12 252.97 245.24 146.99 61.26 46.09 36.64 53.23 74.72 125.35 170.42 206.38 140.54 Prec. 75% 141.51 128.52 124.69 54.38 18.74 -3.49 10.58 13.94 27.28 60.71 44.00 117.07 61.49 Prec. 90% 85.03 72.57 70.49 12.74 -0.38 -25.79 -1.14 -3.73 5.94 31.64 -12.85 76.91 25.95 FUENTE : SENAMHI Cuadro N° 02 REGISTRO DE PRECIPITACION MENSUAL ACUMULADA (mm) Departamento Provincia Distrito REGISTROS HISTÓRICOS Prec. Max. Prec. Min. N° Datos Media Desv. Estandar Coef. Variacion 0 100 200 300 400 500 600 700 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2015) HISTOGRAMA 0 100 200 300 400 500 600 700 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 3. Estacion : QUEBRADA Latitud : 12º40'43.9" S Departamento : Cusco Tipo : CO-654 Longitud : 72º16'42.5" W Provincia : Calca Altitud : 1,205.00 msnm Distrito : Yanatile N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 2 1964 3 1965 4 1966 5 1967 6 1968 116.50 202.00 278.50 120.50 82.00 100.00 105.00 68.50 53.30 92.00 147.00 100.00 1,465.30 7 1969 243.50 198.50 208.00 103.00 89.00 14.50 18.50 3.00 177.50 210.00 109.30 180.00 1,554.80 8 1970 139.50 171.50 60.30 51.00 56.00 6.50 22.00 70.00 61.50 187.50 156.50 199.50 1,181.80 9 1971 124.10 155.10 247.30 21.00 27.60 24.50 36.30 60.20 54.70 136.50 86.60 197.60 1,171.50 10 1972 269.40 53.00 177.70 32.90 82.30 2.60 36.10 27.50 23.50 6.90 106.10 84.40 902.40 11 1973 201.20 137.90 93.40 97.50 72.90 33.30 21.30 1.70 31.40 129.60 115.10 935.30 12 1974 175.00 178.40 109.20 211.40 24.70 29.00 1.60 0.50 55.10 126.50 911.40 13 1975 14 1976 15 1977 16 1978 17 1979 18 1980 19 1981 20 1982 21 1983 22 1984 23 1985 24 1986 25 1987 26 1988 27 1989 28 1990 29 1991 30 1992 31 1993 32 1994 33 1995 34 1996 35 1997 36 1998 37 1999 86.50 105.00 9.90 59.90 0.00 108.00 140.10 204.00 713.40 38 2000 226.70 201.20 217.10 56.10 21.40 59.00 30.20 33.20 52.20 48.80 53.20 141.00 1,140.10 39 2001 256.80 235.20 176.70 57.10 54.00 40.10 33.30 14.40 102.20 141.40 75.30 117.90 1,304.40 40 2002 303.20 202.80 159.40 79.20 52.20 31.70 82.30 36.30 56.50 256.90 140.20 280.60 1,681.30 41 2003 227.60 276.90 283.30 92.40 90.90 22.70 4.20 80.40 20.90 198.20 86.50 306.60 1,690.60 42 2004 373.30 194.10 187.50 143.10 27.70 21.50 57.60 68.30 52.30 123.70 232.80 135.00 1,616.90 43 2005 191.70 192.40 192.90 96.70 5.50 1.80 7.20 45.20 71.20 105.50 67.30 256.60 1,234.00 44 2006 336.70 295.60 208.30 126.00 52.80 15.30 43.10 36.20 215.80 219.10 281.30 1,830.20 45 2007 150.10 96.70 335.70 175.60 53.50 13.80 35.90 13.90 56.50 213.80 149.10 145.00 1,439.60 46 2008 284.10 124.50 172.90 126.20 37.00 4.80 11.10 8.80 76.70 222.50 135.90 145.20 1,349.70 47 2009 182.40 307.60 212.80 73.80 33.80 18.80 22.80 39.90 44.80 197.20 211.10 218.00 1,563.00 48 2010 322.20 164.80 273.60 123.80 24.70 17.40 19.20 43.50 38.80 191.90 83.20 126.10 1,429.20 49 2011 238.50 242.90 236.90 145.10 77.00 6.00 68.40 63.20 100.10 208.90 266.30 1,653.30 50 2012 138.50 329.50 115.40 156.10 70.00 38.20 20.30 16.90 29.20 112.20 126.50 262.60 1,415.40 51 2013 267.50 216.10 213.40 104.60 24.90 32.00 19.70 48.50 40.30 278.30 121.80 281.20 1,648.30 52 2014 270.10 242.90 328.80 89.50 100.90 3.90 25.90 18.20 65.30 112.00 139.70 168.20 1,565.40 53 2015 269.00 241.60 161.10 155.50 91.30 45.50 6.80 970.80 54 2016 55 2017 56 2018 23 23 23 24 23 24 24 23 21 23 21 22 24 230.77 202.66 202.18 105.19 56.71 26.26 31.70 35.01 60.42 153.30 129.38 191.46 1,348.67 70.84 66.27 70.45 45.86 29.70 22.55 25.80 25.38 34.14 71.46 48.29 68.74 302.71 30.70 32.70 34.85 43.60 52.38 85.85 81.36 72.50 56.51 46.61 37.32 35.90 22.45 373.30 329.50 335.70 211.40 105.00 100.00 105.00 80.40 177.50 278.30 232.80 306.60 1,830.20 116.50 53.00 60.30 21.00 5.50 1.80 1.60 0.00 20.90 6.90 53.20 84.40 713.40 Prec. 10% 321.58 287.62 292.51 163.99 94.79 55.17 64.77 67.55 104.19 244.91 191.28 279.59 180.66 Prec. 25% 278.58 247.40 249.74 136.15 76.76 41.48 49.12 52.14 83.46 201.54 161.97 237.87 151.35 Prec. 75% 182.95 157.93 154.63 74.24 36.66 11.04 14.29 17.88 37.37 105.06 96.78 145.06 86.16 Prec. 90% 139.95 117.70 111.86 46.40 18.63 -2.64 -1.37 2.47 16.65 61.69 67.47 103.33 56.85 FUENTE : SENAMHI REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS HISTÓRICOS (mm) Prec. Min. Cuadro N° 03 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. 0 100 200 300 400 500 600 700 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2015) HISTOGRAMA 0 100 200 300 400 500 600 700 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 4. Estacion : MACHUPICCHU Latitud : 13º10'00'' S Departamento : Cusco Tipo : CO-679 Longitud : 72º32'44' W Provincia : Urubamba Altitud : 2,563.00 msnm Distrito : Aguas Calientes N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 2 1964 48.40 24.00 22.80 53.70 70.80 58.10 108.20 215.80 601.80 3 1965 230.50 301.30 247.90 139.30 0.00 22.70 52.40 27.30 167.50 142.10 102.10 198.20 1,631.30 4 1966 242.30 271.70 148.40 58.00 28.10 2.20 23.10 30.00 37.00 171.20 225.00 247.70 1,484.70 5 1967 286.80 285.80 396.30 115.30 46.90 7.00 62.90 83.10 114.20 293.40 107.70 288.90 2,088.30 6 1968 350.40 399.10 353.10 107.10 31.00 30.30 132.40 80.60 65.40 196.90 313.30 209.80 2,269.40 7 1969 254.80 260.10 308.90 262.80 59.00 110.70 15.20 141.40 159.40 280.00 1,852.30 8 1970 328.80 287.70 268.40 108.10 27.80 79.20 34.00 107.80 160.00 117.80 283.20 1,802.80 9 1971 286.10 346.80 256.30 161.20 20.20 37.20 16.00 70.00 24.30 120.30 115.20 246.50 1,700.10 10 1972 381.10 226.70 343.70 172.40 62.80 2.20 31.80 94.10 91.90 117.60 262.30 262.90 2,049.50 11 1973 301.10 449.20 380.00 311.30 29.70 23.80 42.30 121.00 169.20 117.80 195.10 257.80 2,398.30 12 1974 257.50 355.80 213.90 257.70 19.50 26.60 64.70 126.30 102.00 177.90 79.20 142.30 1,823.40 13 1975 268.10 368.40 308.80 148.10 124.40 86.20 22.20 42.40 112.80 166.30 211.90 302.60 2,162.20 14 1976 276.20 260.20 399.30 935.70 15 1977 52.30 31.50 132.40 120.60 222.90 193.40 753.10 16 1978 17 1979 18 1980 19 1981 20 1982 21 1983 22 1984 23 1985 24 1986 25 1987 26 1988 27 1989 28 1990 29 1991 30 1992 31 1993 32 1994 33 1995 34 1996 35 1997 36 1998 32.70 176.80 152.90 212.40 574.80 37 1999 451.50 473.90 299.20 227.60 189.10 27.80 33.90 16.60 116.50 119.60 148.30 193.20 2,297.20 38 2000 395.40 339.50 265.10 207.20 75.30 132.20 36.00 125.20 142.50 183.50 113.20 191.60 2,206.70 39 2001 292.00 308.80 393.30 93.50 81.50 98.80 61.50 50.60 94.40 155.70 230.10 262.50 2,122.70 40 2002 212.70 358.50 359.50 282.80 43.10 65.20 144.10 50.70 121.50 231.40 193.50 364.50 2,427.50 41 2003 310.40 333.90 463.90 154.40 70.80 53.50 39.80 97.60 88.80 113.20 135.40 295.80 2,157.50 42 2004 385.60 320.20 213.20 159.60 78.80 43.70 145.90 92.50 70.40 141.40 143.20 225.80 2,020.30 43 2005 165.70 313.80 278.00 146.60 26.20 2.00 45.20 14.00 65.40 188.20 137.50 313.50 1,696.10 44 2006 335.60 215.00 381.20 211.60 35.00 105.00 36.50 48.70 44.10 157.20 204.30 260.30 2,034.50 45 2007 365.50 272.70 494.90 219.80 87.70 10.30 62.50 28.50 68.60 158.30 146.60 238.60 2,154.00 46 2008 397.30 224.50 232.50 97.40 75.90 19.70 15.20 87.60 22.10 189.70 158.80 209.80 1,730.50 47 2009 391.50 332.60 334.50 234.90 45.30 14.10 54.30 27.80 41.70 83.50 258.80 276.50 2,095.50 48 2010 408.00 328.10 502.50 210.40 44.20 37.30 19.10 46.50 42.80 229.20 118.10 328.20 2,314.40 49 2011 452.30 365.00 434.20 252.40 55.80 68.30 83.50 36.90 106.20 170.00 263.20 352.70 2,640.50 50 2012 332.40 407.50 390.20 204.50 84.80 43.60 68.00 29.30 82.30 175.10 108.30 517.20 2,443.20 51 2013 221.10 379.50 367.90 72.10 63.60 83.20 35.80 103.10 56.10 199.90 185.50 348.50 2,116.30 52 2014 481.30 221.20 232.70 149.40 106.20 13.30 51.00 53.40 108.80 1,417.30 53 2015 54 2016 55 2017 56 2018 27 28 28 27 28 28 29 28 29 29 29 29 31 323.45 323.16 331.68 182.44 62.19 43.53 53.43 60.82 86.21 160.56 169.58 266.21 1,871.03 81.30 66.19 88.70 68.01 38.68 36.49 35.67 34.16 40.37 46.96 59.74 72.59 536.06 25.13 20.48 26.74 37.28 62.19 83.84 66.75 56.16 46.83 29.25 35.23 27.27 28.65 481.30 473.90 502.50 311.30 189.10 132.20 145.90 126.30 169.20 293.40 313.30 517.20 2,640.50 165.70 215.00 148.40 58.00 0.00 2.00 15.20 14.00 22.10 58.10 79.20 142.30 574.80 Prec. 10% 427.68 408.03 445.40 269.63 111.78 90.31 99.16 104.61 137.97 220.77 246.17 359.27 243.40 Prec. 25% 378.33 367.85 391.56 228.34 88.30 68.16 77.51 83.88 113.46 192.26 209.91 315.21 209.56 Prec. 75% 268.58 278.48 271.81 136.53 36.08 18.89 29.36 37.77 58.96 128.86 129.25 217.22 134.32 Prec. 90% 219.23 238.30 217.96 95.25 12.61 -3.26 7.71 17.03 34.46 100.35 92.99 173.16 100.48 FUENTE : SENAMHI REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS HISTÓRICOS (mm) Prec. Min. Cuadro N° 04 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. 0 100 200 300 400 500 600 700 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2015) HISTOGRAMA 0 100 200 300 400 500 600 700 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 5. Estacion : HUYRO Latitud : 13°40'01" S Departamento : Cusco Tipo : CO-678 Longitud : 72°27'01" W Provincia : La Convención Altitud : 1,700.00 msnm Distrito : Huyro N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 2 1964 173.50 245.60 21.30 35.60 54.60 100.70 134.00 149.40 914.70 3 1965 243.00 291.00 384.00 188.60 40.00 16.00 128.00 135.00 141.00 407.00 1,973.60 4 1966 273.00 207.00 219.00 53.20 45.80 5.20 13.90 27.60 40.10 207.20 226.80 267.80 1,586.60 5 1967 307.70 359.80 395.90 166.80 38.60 20.50 29.80 45.90 51.80 202.30 132.40 266.70 2,018.20 6 1968 446.20 403.50 257.80 121.90 35.50 21.50 37.20 43.00 73.00 108.60 277.00 191.20 2,016.40 7 1969 266.20 313.10 255.90 211.90 146.00 84.60 21.40 13.10 70.30 156.30 225.80 251.10 2,015.70 8 1970 486.40 266.80 239.60 292.60 163.60 44.90 59.70 36.50 90.50 137.60 93.90 393.40 2,305.50 9 1971 376.90 516.40 278.40 129.20 48.70 46.00 7.80 20.00 46.80 97.80 120.90 288.10 1,977.00 10 1972 454.60 310.90 256.60 188.90 26.00 1.50 46.70 103.20 63.60 101.00 279.80 226.50 2,059.30 11 1973 410.70 386.60 331.80 275.80 80.30 20.00 28.40 64.30 97.80 141.40 140.60 242.40 2,220.10 12 1974 313.90 442.00 197.80 192.20 7.00 43.30 52.00 115.80 50.70 114.80 66.60 189.60 1,785.70 13 1975 268.60 356.70 195.30 169.80 68.70 34.70 22.20 62.90 84.30 76.90 75.60 158.20 1,573.90 14 1976 159.00 334.50 409.70 184.60 83.50 57.20 56.00 91.30 164.50 37.30 93.40 197.70 1,868.70 15 1977 310.50 461.70 356.80 101.70 85.60 0.10 36.20 23.10 90.50 122.60 290.40 175.30 2,054.50 16 1978 531.00 249.10 347.40 146.50 92.00 14.00 16.10 0.00 0.00 0.00 0.00 164.10 1,560.20 17 1979 212.10 220.30 316.30 117.20 9.00 0.00 29.00 17.20 63.10 53.30 115.20 147.30 1,300.00 18 1980 140.50 117.50 120.80 42.10 21.10 9.10 12.00 25.00 7.00 68.00 62.40 56.00 681.50 19 1981 138.90 153.30 155.00 193.90 7.00 0.00 0.00 648.10 20 1982 21 1983 22 1984 23 1985 24 1986 25 1987 26 1988 27 1989 28 1990 29 1991 30 1992 31 1993 32 1994 33 1995 34 1996 35 1997 36 1998 37 1999 38 2000 39 2001 40 2002 41 2003 42 2004 43 2005 44 2006 45 2007 46 2008 47 2009 48 2010 49 2011 50 2012 51 2013 52 2014 53 2015 54 2016 55 2017 56 2018 17 17 18 18 17 17 17 17 16 17 17 17 18 314.07 317.07 271.76 167.92 58.73 24.94 29.65 44.68 70.13 109.46 145.64 221.87 1,697.76 120.84 108.48 86.61 67.56 45.76 23.87 17.23 33.42 41.00 53.87 85.08 88.02 505.79 38.48 34.21 31.87 40.23 77.91 95.72 58.11 74.80 58.47 49.22 58.42 39.67 29.79 531.00 516.40 409.70 292.60 163.60 84.60 59.70 115.80 164.50 207.20 290.40 407.00 2,305.50 138.90 117.50 120.80 42.10 7.00 0.00 0.00 0.00 0.00 0.00 0.00 56.00 648.10 Prec. 10% 468.99 456.14 382.78 254.53 117.39 55.53 51.73 87.52 122.69 178.53 254.71 334.71 230.44 Prec. 25% 395.64 390.29 330.21 213.52 89.61 41.05 41.28 67.23 97.80 145.82 203.06 281.28 191.40 Prec. 75% 232.50 243.85 213.30 122.31 27.84 8.82 18.02 22.12 42.45 73.09 88.21 162.46 104.58 Prec. 90% 159.15 178.00 160.73 81.31 0.07 -5.66 7.56 1.84 17.56 40.39 36.56 109.03 65.55 FUENTE : SENAMHI REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS HISTÓRICOS (mm) Prec. Min. Cuadro N° 05 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. 0 100 200 300 400 500 600 700 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2015) HISTOGRAMA 0 100 200 300 400 500 600 700 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 6. Estacion : QUILLABAMBA Latitud : 12º51'21'' S : Cusco Tipo : CP-606 Longitud : 72º41'30'' W : La Convención Altitud : 990.00 msnm : Santa Ana N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 290.00 130.00 114.00 80.00 41.00 28.00 33.00 27.00 36.00 21.00 42.00 132.00 974.00 2 1964 152.00 187.00 172.00 157.00 26.00 4.00 1.00 28.00 21.00 48.00 29.00 89.00 914.00 3 1965 119.00 177.00 195.00 102.00 4.00 2.00 46.00 18.00 120.00 115.00 74.00 183.00 1,155.00 4 1966 94.00 140.00 97.00 22.00 49.00 5.00 15.00 13.00 39.00 137.00 112.00 132.00 855.00 5 1967 98.00 124.00 212.00 34.00 17.00 17.00 51.00 31.00 46.00 84.00 62.00 120.00 896.00 6 1968 225.00 168.00 153.00 60.00 9.00 4.00 26.00 51.00 38.00 77.00 116.00 132.00 1,059.00 7 1969 149.00 100.00 154.00 103.00 47.00 72.00 14.00 9.00 35.00 53.00 110.00 144.00 990.00 8 1970 208.00 64.00 202.00 117.00 60.00 24.00 20.00 9.00 36.00 86.00 57.00 205.00 1,088.00 9 1971 151.00 187.00 123.00 58.00 35.00 57.00 2.00 12.00 72.00 46.00 70.00 87.00 900.00 10 1972 186.00 137.00 126.00 52.00 27.00 6.00 8.00 84.00 25.00 40.00 158.00 137.00 986.00 11 1973 207.00 162.00 150.00 123.00 52.00 13.00 37.00 63.00 58.00 84.00 141.00 223.00 1,313.00 12 1974 185.00 192.00 88.00 121.00 10.00 12.00 27.00 67.00 29.00 51.00 40.00 64.00 886.00 13 1975 123.00 207.00 132.00 66.00 45.00 21.00 15.00 23.00 72.00 68.00 102.00 191.00 1,065.00 14 1976 202.00 194.00 110.00 94.00 25.00 4.00 4.00 61.00 121.00 27.00 26.00 125.00 993.00 15 1977 128.00 196.00 151.00 32.00 43.00 2.00 43.00 3.00 51.00 30.00 113.00 136.00 928.00 16 1978 278.00 104.00 127.00 68.00 89.00 11.00 0.00 0.00 0.00 97.00 64.00 229.00 1,067.00 17 1979 106.00 100.00 110.00 47.00 21.00 0.00 25.00 3.00 7.00 24.00 103.00 122.00 668.00 18 1980 126.00 169.00 175.00 85.00 26.00 10.00 47.00 31.00 54.00 119.00 51.00 47.00 940.00 19 1981 179.00 156.00 139.00 92.00 28.00 1.00 21.00 7.00 83.00 27.00 311.00 250.00 1,294.00 20 1982 183.00 243.00 235.00 65.00 43.00 27.00 69.00 10.00 71.00 56.00 111.00 191.00 1,304.00 21 1983 156.00 177.00 173.00 31.00 23.00 4.00 10.00 1.00 25.00 298.00 32.00 112.00 1,042.00 22 1984 117.00 129.00 155.00 73.00 14.00 22.00 1.00 15.00 74.00 93.00 96.00 156.00 945.00 23 1985 150.00 205.00 131.00 218.00 57.00 11.00 21.00 32.00 53.00 174.00 68.00 137.00 1,257.00 24 1986 109.00 287.00 142.00 68.00 46.00 10.00 43.00 1.00 50.00 72.00 187.00 250.00 1,265.00 25 1987 465.00 180.00 160.00 182.00 36.00 42.00 9.00 0.00 57.00 117.00 605.00 375.00 2,228.00 26 1988 430.00 535.00 595.00 436.00 139.00 0.00 0.00 0.00 160.00 117.00 141.00 331.00 2,884.00 27 1989 501.00 132.00 352.00 111.00 51.00 0.00 37.00 75.00 75.00 71.00 49.00 167.00 1,621.00 28 1990 437.00 235.00 191.00 74.00 141.00 220.00 20.00 65.00 128.00 246.00 232.00 203.00 2,192.00 29 1991 313.00 193.00 376.00 173.00 92.00 35.00 6.00 15.00 72.00 50.00 42.00 142.00 1,509.00 30 1992 108.00 111.00 172.00 103.00 10.00 53.00 38.00 3.00 69.00 74.00 41.00 130.00 912.00 31 1993 224.00 211.00 183.00 149.00 11.00 1.00 20.00 0.00 55.00 52.00 71.00 188.00 1,165.00 32 1994 147.00 126.00 166.00 86.00 117.00 18.00 25.00 62.00 51.00 109.00 156.00 211.00 1,274.00 33 1995 219.00 303.00 194.00 73.00 85.00 4.00 17.00 45.00 29.00 77.00 146.00 69.00 1,261.00 34 1996 150.00 207.00 103.00 77.00 36.00 6.00 9.00 37.00 41.00 71.00 87.00 75.00 899.00 35 1997 214.00 272.00 138.00 90.00 40.00 23.00 4.00 62.00 93.00 101.00 123.00 147.00 1,307.00 36 1998 172.00 152.00 245.00 90.00 4.00 6.00 0.00 2.00 88.00 107.00 59.00 173.00 1,098.00 37 1999 272.00 538.00 272.00 271.00 60.00 11.00 21.00 0.00 23.00 67.00 53.00 133.00 1,721.00 38 2000 315.00 244.00 180.00 74.00 20.00 56.00 1.00 37.00 35.00 50.00 35.00 85.00 1,132.00 39 2001 288.00 247.00 223.00 48.00 42.00 8.00 39.00 30.00 26.00 118.00 90.00 111.00 1,270.00 40 2002 119.00 195.00 200.00 45.00 32.00 16.00 69.00 72.00 36.00 89.00 108.00 220.00 1,201.00 41 2003 163.00 185.00 199.00 109.00 19.00 8.00 6.00 113.00 72.00 47.00 49.00 176.00 1,146.00 42 2004 180.00 153.00 126.00 84.00 43.00 20.00 59.00 44.00 55.00 123.00 120.00 95.00 1,102.00 43 2005 115.00 133.00 186.00 96.00 34.00 7.00 56.00 10.00 42.00 71.00 21.00 181.00 952.00 44 2006 174.00 157.00 197.00 121.00 8.00 29.00 5.00 28.00 18.00 99.00 102.00 189.00 1,127.00 45 2007 280.00 95.00 187.00 151.00 32.00 16.00 13.00 6.00 13.00 170.00 56.00 107.00 1,126.00 46 2008 241.00 162.00 154.00 85.00 14.00 2.00 13.00 19.00 37.00 136.00 92.00 109.00 1,064.00 47 2009 266.00 207.00 138.00 68.00 23.00 5.00 27.00 5.00 15.00 112.00 210.00 182.00 1,258.00 48 2010 122.00 236.00 264.00 59.00 21.00 22.00 16.00 24.00 33.00 188.00 78.00 152.00 1,215.00 49 2011 201.00 261.00 275.00 108.00 41.00 21.00 51.00 80.00 29.00 155.00 146.00 205.00 1,573.00 50 2012 194.00 186.00 115.00 108.00 37.00 50.00 19.00 20.00 39.00 79.00 77.00 240.00 1,164.00 51 2013 126.00 176.00 182.00 134.00 12.00 37.00 2.00 63.00 46.00 163.00 89.00 197.00 1,227.00 52 2014 319.00 157.00 154.00 75.00 115.00 0.00 44.00 16.00 46.00 38.00 77.00 183.00 1,224.00 53 2015 219.00 209.00 124.00 80.00 51.00 16.00 20.00 6.00 82.00 103.00 106.00 141.00 1,157.00 54 2016 192.00 224.00 326.00 79.00 23.00 10.00 55.00 9.00 21.00 167.00 148.00 149.00 1,403.00 55 2017 268.00 384.00 499.00 161.00 47.00 57.00 91.00 77.00 52.00 119.00 332.00 156.00 2,243.00 56 2018 162.00 108.00 117.00 101.00 38.00 9.00 6.00 0.00 11.00 60.00 59.00 161.00 832.00 56 56 56 56 56 56 56 56 56 56 56 56 56 205.66 193.73 188.55 101.23 41.27 20.98 24.59 29.00 51.16 94.16 108.48 160.30 1,219.13 93.44 87.97 92.64 64.78 31.28 32.14 20.99 28.03 31.54 54.09 92.37 61.10 391.30 45.44 45.41 49.13 63.99 75.80 153.17 85.37 96.64 61.65 57.45 85.14 38.11 32.10 501.00 538.00 595.00 436.00 141.00 220.00 91.00 113.00 160.00 298.00 605.00 375.00 2,884.00 94.00 64.00 88.00 22.00 4.00 0.00 0.00 0.00 0.00 21.00 21.00 47.00 668.00 Prec. 10% 325.46 306.52 307.31 184.28 81.37 62.18 51.50 64.93 91.59 163.51 226.90 238.63 175.35 Prec. 25% 268.74 253.11 251.08 144.96 62.38 42.68 38.76 47.92 72.45 130.67 170.83 201.54 140.43 Prec. 75% 142.59 134.35 126.02 57.51 20.15 -0.71 10.42 10.08 29.87 57.65 46.13 119.06 62.76 Prec. 90% 85.87 80.95 69.79 18.19 1.16 -20.22 -2.32 -6.93 10.73 24.82 -9.93 81.98 27.84 FUENTE : SENAMHI Prec. Min. Cuadro N° 06 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. Distrito REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS COMPLETADOS (SIH - HEC4) (mm) Departamento Provincia 0 100 200 300 400 500 600 700 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2018) HISTOGRAMA 0 100 200 300 400 500 600 700 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 7. Estacion : QUEBRADA Latitud : 12º40'43.9" S : Cusco Tipo : CO-654 Longitud : 72º16'42.5" W : Calca Altitud : 1,205.00 msnm : Yanatile N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 164.00 289.00 80.00 120.00 67.00 44.00 57.00 7.00 68.00 200.00 93.00 217.00 1,406.00 2 1964 184.00 302.00 176.00 178.00 56.00 61.00 7.00 61.00 30.00 14.00 81.00 137.00 1,287.00 3 1965 249.00 231.00 266.00 75.00 34.00 5.00 15.00 15.00 106.00 119.00 113.00 230.00 1,458.00 4 1966 338.00 273.00 169.00 23.00 32.00 1.00 36.00 29.00 27.00 84.00 99.00 140.00 1,251.00 5 1967 152.00 260.00 304.00 95.00 34.00 24.00 2.00 41.00 26.00 241.00 169.00 165.00 1,513.00 6 1968 117.00 202.00 278.00 121.00 82.00 100.00 105.00 69.00 53.00 92.00 147.00 100.00 1,466.00 7 1969 244.00 198.00 208.00 103.00 89.00 15.00 18.00 3.00 177.00 210.00 109.00 180.00 1,554.00 8 1970 139.00 171.00 60.00 51.00 56.00 6.00 22.00 70.00 62.00 188.00 156.00 199.00 1,180.00 9 1971 124.00 155.00 247.00 21.00 28.00 24.00 36.00 60.00 55.00 137.00 87.00 198.00 1,172.00 10 1972 269.00 53.00 178.00 33.00 82.00 3.00 36.00 27.00 23.00 7.00 106.00 84.00 901.00 11 1973 201.00 138.00 93.00 98.00 73.00 33.00 21.00 2.00 84.00 31.00 130.00 115.00 1,019.00 12 1974 175.00 178.00 109.00 211.00 25.00 29.00 2.00 0.00 55.00 127.00 110.00 116.00 1,137.00 13 1975 197.00 252.00 70.00 127.00 76.00 56.00 22.00 2.00 106.00 84.00 252.00 215.00 1,459.00 14 1976 258.00 162.00 202.00 193.00 97.00 11.00 2.00 40.00 112.00 237.00 115.00 237.00 1,666.00 15 1977 293.00 143.00 102.00 55.00 43.00 1.00 28.00 8.00 76.00 69.00 29.00 165.00 1,012.00 16 1978 110.00 145.00 262.00 79.00 20.00 17.00 4.00 35.00 16.00 205.00 361.00 273.00 1,527.00 17 1979 250.00 198.00 177.00 105.00 23.00 13.00 26.00 10.00 75.00 247.00 196.00 162.00 1,482.00 18 1980 267.00 269.00 201.00 126.00 7.00 4.00 24.00 77.00 31.00 101.00 208.00 176.00 1,491.00 19 1981 305.00 203.00 208.00 85.00 28.00 2.00 30.00 15.00 69.00 227.00 165.00 208.00 1,545.00 20 1982 226.00 276.00 290.00 188.00 101.00 4.00 63.00 10.00 59.00 188.00 155.00 296.00 1,856.00 21 1983 260.00 212.00 191.00 29.00 27.00 15.00 87.00 28.00 30.00 178.00 91.00 89.00 1,237.00 22 1984 143.00 306.00 188.00 118.00 49.00 21.00 12.00 22.00 67.00 253.00 107.00 216.00 1,502.00 23 1985 174.00 291.00 90.00 88.00 21.00 20.00 77.00 114.00 15.00 63.00 49.00 155.00 1,157.00 24 1986 253.00 119.00 216.00 118.00 72.00 26.00 143.00 40.00 41.00 206.00 90.00 198.00 1,522.00 25 1987 227.00 165.00 209.00 156.00 55.00 6.00 56.00 2.00 106.00 102.00 181.00 397.00 1,662.00 26 1988 282.00 160.00 334.00 234.00 73.00 3.00 46.00 5.00 141.00 253.00 167.00 475.00 2,173.00 27 1989 242.00 97.00 197.00 185.00 41.00 0.00 8.00 72.00 36.00 231.00 199.00 340.00 1,648.00 28 1990 181.00 151.00 290.00 64.00 77.00 194.00 54.00 79.00 138.00 253.00 181.00 168.00 1,830.00 29 1991 328.00 221.00 275.00 164.00 69.00 79.00 46.00 27.00 52.00 119.00 106.00 111.00 1,597.00 30 1992 240.00 181.00 212.00 98.00 30.00 19.00 61.00 42.00 89.00 66.00 194.00 209.00 1,441.00 31 1993 233.00 137.00 265.00 105.00 1.00 2.00 14.00 5.00 118.00 68.00 79.00 181.00 1,208.00 32 1994 367.00 143.00 250.00 97.00 64.00 16.00 18.00 12.00 39.00 180.00 146.00 233.00 1,565.00 33 1995 394.00 168.00 291.00 52.00 98.00 20.00 25.00 29.00 41.00 173.00 157.00 137.00 1,585.00 34 1996 207.00 282.00 122.00 148.00 41.00 4.00 21.00 3.00 49.00 99.00 87.00 143.00 1,206.00 35 1997 135.00 265.00 207.00 116.00 19.00 32.00 9.00 4.00 116.00 250.00 139.00 187.00 1,479.00 36 1998 126.00 261.00 195.00 100.00 12.00 6.00 5.00 20.00 108.00 253.00 117.00 146.00 1,349.00 37 1999 322.00 170.00 172.00 86.00 105.00 10.00 60.00 0.00 78.00 108.00 140.00 204.00 1,455.00 38 2000 227.00 201.00 217.00 56.00 21.00 59.00 30.00 33.00 52.00 49.00 53.00 141.00 1,139.00 39 2001 257.00 235.00 177.00 57.00 54.00 40.00 33.00 14.00 102.00 141.00 75.00 118.00 1,303.00 40 2002 303.00 203.00 159.00 79.00 52.00 32.00 82.00 36.00 56.00 257.00 140.00 281.00 1,680.00 41 2003 228.00 277.00 283.00 92.00 91.00 23.00 4.00 80.00 21.00 198.00 87.00 307.00 1,691.00 42 2004 373.00 194.00 187.00 143.00 28.00 21.00 58.00 68.00 52.00 124.00 233.00 135.00 1,616.00 43 2005 192.00 192.00 193.00 97.00 5.00 2.00 7.00 45.00 71.00 105.00 67.00 257.00 1,233.00 44 2006 337.00 296.00 208.00 126.00 5.00 53.00 15.00 43.00 36.00 216.00 219.00 281.00 1,835.00 45 2007 150.00 97.00 336.00 176.00 53.00 14.00 36.00 14.00 56.00 214.00 149.00 145.00 1,440.00 46 2008 284.00 125.00 173.00 126.00 37.00 5.00 11.00 9.00 77.00 223.00 136.00 145.00 1,351.00 47 2009 182.00 308.00 213.00 74.00 34.00 19.00 23.00 40.00 45.00 197.00 211.00 218.00 1,564.00 48 2010 322.00 165.00 274.00 124.00 25.00 17.00 19.00 43.00 39.00 192.00 83.00 126.00 1,429.00 49 2011 238.00 243.00 237.00 145.00 77.00 6.00 68.00 63.00 100.00 209.00 137.00 266.00 1,789.00 50 2012 139.00 329.00 115.00 156.00 70.00 38.00 20.00 17.00 29.00 112.00 127.00 263.00 1,415.00 51 2013 267.00 216.00 213.00 105.00 25.00 32.00 20.00 48.00 40.00 278.00 122.00 281.00 1,647.00 52 2014 270.00 243.00 329.00 90.00 101.00 4.00 26.00 18.00 65.00 112.00 140.00 168.00 1,566.00 53 2015 269.00 242.00 161.00 155.00 91.00 46.00 7.00 6.00 78.00 193.00 206.00 144.00 1,598.00 54 2016 255.00 145.00 285.00 160.00 50.00 15.00 59.00 124.00 34.00 178.00 136.00 255.00 1,696.00 55 2017 184.00 159.00 243.00 116.00 50.00 16.00 52.00 18.00 42.00 125.00 206.00 169.00 1,380.00 56 2018 138.00 267.00 138.00 44.00 71.00 31.00 6.00 17.00 43.00 112.00 146.00 251.00 1,264.00 56 56 56 56 56 56 56 56 56 56 56 56 56 231.98 206.50 205.80 110.11 50.84 24.98 33.46 32.52 64.50 158.89 139.00 199.16 1,457.75 70.71 63.17 68.39 48.29 28.56 30.91 28.57 28.89 35.01 71.33 57.81 75.88 236.44 30.48 30.59 33.23 43.85 56.18 123.71 85.37 88.85 54.28 44.89 41.59 38.10 16.22 394.00 329.00 336.00 234.00 105.00 194.00 143.00 124.00 177.00 278.00 361.00 475.00 2,173.00 110.00 53.00 60.00 21.00 1.00 0.00 2.00 0.00 15.00 7.00 29.00 84.00 901.00 Prec. 10% 322.64 287.48 293.48 172.01 87.45 64.60 70.09 69.56 109.38 250.34 213.12 296.44 186.38 Prec. 25% 279.71 249.14 251.97 142.70 70.12 45.84 52.75 52.02 88.13 207.04 178.02 250.38 155.65 Prec. 75% 184.25 163.86 159.64 77.51 31.56 4.12 14.18 13.02 40.87 110.74 99.98 147.94 87.31 Prec. 90% 141.33 125.52 118.12 48.20 14.22 -14.64 -3.16 -4.52 19.62 67.45 64.88 101.88 56.58 FUENTE : SENAMHI Prec. Min. Cuadro N° 07 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. Distrito REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS COMPLETADOS (SIH - HEC4) (mm) Departamento Provincia 0 100 200 300 400 500 600 700 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2011) HISTOGRAMA 0 100 200 300 400 500 600 700 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 8. Estacion : MACHUPICCHU Latitud : 13º10'00'' S : Cusco Tipo : CO-679 Longitud : 72º32'44' W : Urubamba Altitud : 2,563.00 msnm : Aguas Calientes N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 372.00 408.00 344.00 269.00 104.00 88.00 59.00 48.00 74.00 176.00 155.00 264.00 2,361.00 2 1964 329.00 297.00 212.00 236.00 48.00 24.00 23.00 54.00 71.00 58.00 108.00 216.00 1,676.00 3 1965 231.00 301.00 248.00 139.00 0.00 23.00 52.00 27.00 168.00 142.00 102.00 198.00 1,631.00 4 1966 242.00 272.00 148.00 58.00 28.00 2.00 23.00 30.00 37.00 171.00 225.00 248.00 1,484.00 5 1967 287.00 286.00 396.00 115.00 47.00 7.00 63.00 83.00 114.00 293.00 108.00 289.00 2,088.00 6 1968 350.00 399.00 353.00 107.00 31.00 30.00 132.00 81.00 65.00 197.00 313.00 210.00 2,268.00 7 1969 255.00 260.00 309.00 263.00 59.00 111.00 15.00 25.00 85.00 141.00 159.00 280.00 1,962.00 8 1970 329.00 329.00 288.00 268.00 108.00 28.00 79.00 34.00 108.00 160.00 118.00 283.00 2,132.00 9 1971 286.00 347.00 256.00 161.00 20.00 37.00 16.00 70.00 24.00 120.00 115.00 246.00 1,698.00 10 1972 381.00 227.00 344.00 172.00 63.00 2.00 32.00 94.00 92.00 118.00 262.00 263.00 2,050.00 11 1973 301.00 449.00 380.00 311.00 30.00 24.00 42.00 121.00 169.00 118.00 195.00 258.00 2,398.00 12 1974 257.00 356.00 214.00 258.00 19.00 27.00 65.00 126.00 102.00 178.00 79.00 142.00 1,823.00 13 1975 268.00 368.00 309.00 148.00 124.00 86.00 22.00 42.00 113.00 166.00 212.00 303.00 2,161.00 14 1976 276.00 260.00 399.00 215.00 106.00 48.00 73.00 55.00 137.00 202.00 139.00 379.00 2,289.00 15 1977 359.00 382.00 440.00 147.00 61.00 2.00 52.00 32.00 132.00 121.00 223.00 193.00 2,144.00 16 1978 324.00 220.00 396.00 95.00 105.00 17.00 14.00 12.00 37.00 132.00 95.00 383.00 1,830.00 17 1979 258.00 265.00 362.00 115.00 45.00 34.00 49.00 16.00 45.00 208.00 103.00 270.00 1,770.00 18 1980 236.00 251.00 252.00 65.00 37.00 4.00 23.00 32.00 52.00 140.00 144.00 304.00 1,540.00 19 1981 171.00 225.00 221.00 153.00 57.00 3.00 17.00 18.00 77.00 139.00 300.00 334.00 1,715.00 20 1982 321.00 314.00 314.00 139.00 104.00 16.00 55.00 32.00 41.00 222.00 184.00 358.00 2,100.00 21 1983 281.00 314.00 457.00 114.00 71.00 55.00 40.00 8.00 54.00 215.00 122.00 164.00 1,895.00 22 1984 241.00 328.00 357.00 129.00 59.00 33.00 27.00 48.00 95.00 203.00 119.00 226.00 1,865.00 23 1985 280.00 375.00 270.00 185.00 41.00 14.00 46.00 22.00 89.00 201.00 190.00 245.00 1,958.00 24 1986 260.00 326.00 297.00 143.00 36.00 23.00 102.00 47.00 24.00 243.00 231.00 380.00 2,112.00 25 1987 549.00 481.00 305.00 161.00 84.00 18.00 46.00 49.00 104.00 116.00 222.00 240.00 2,375.00 26 1988 391.00 332.00 582.00 227.00 106.00 39.00 29.00 39.00 130.00 214.00 191.00 412.00 2,692.00 27 1989 379.00 306.00 454.00 255.00 34.00 7.00 49.00 58.00 65.00 209.00 73.00 332.00 2,221.00 28 1990 570.00 370.00 330.00 144.00 88.00 234.00 100.00 42.00 89.00 193.00 241.00 271.00 2,672.00 29 1991 512.00 334.00 583.00 175.00 106.00 95.00 36.00 34.00 84.00 85.00 129.00 186.00 2,359.00 30 1992 274.00 261.00 356.00 168.00 106.00 16.00 33.00 28.00 106.00 116.00 109.00 258.00 1,831.00 31 1993 309.00 300.00 339.00 161.00 0.00 2.00 19.00 14.00 138.00 132.00 147.00 283.00 1,844.00 32 1994 328.00 281.00 197.00 139.00 72.00 110.00 54.00 77.00 116.00 186.00 197.00 314.00 2,071.00 33 1995 337.00 297.00 367.00 278.00 102.00 55.00 46.00 58.00 49.00 92.00 236.00 220.00 2,137.00 34 1996 182.00 243.00 252.00 169.00 26.00 19.00 29.00 26.00 162.00 127.00 177.00 273.00 1,685.00 35 1997 217.00 355.00 358.00 89.00 2.00 45.00 24.00 68.00 141.00 204.00 249.00 363.00 2,115.00 36 1998 329.00 296.00 393.00 239.00 3.00 8.00 25.00 53.00 33.00 177.00 153.00 212.00 1,921.00 37 1999 452.00 474.00 299.00 228.00 189.00 28.00 34.00 17.00 116.00 120.00 148.00 193.00 2,298.00 38 2000 395.00 339.00 265.00 207.00 75.00 132.00 36.00 125.00 143.00 183.00 113.00 192.00 2,205.00 39 2001 292.00 309.00 393.00 93.00 81.00 99.00 62.00 51.00 94.00 156.00 230.00 263.00 2,123.00 40 2002 213.00 359.00 359.00 283.00 43.00 65.00 144.00 51.00 121.00 231.00 194.00 365.00 2,428.00 41 2003 310.00 334.00 464.00 154.00 71.00 54.00 40.00 98.00 89.00 113.00 135.00 296.00 2,158.00 42 2004 386.00 320.00 213.00 160.00 79.00 44.00 146.00 93.00 70.00 141.00 143.00 226.00 2,021.00 43 2005 166.00 314.00 278.00 147.00 26.00 2.00 45.00 14.00 65.00 188.00 138.00 314.00 1,697.00 44 2006 336.00 215.00 381.00 212.00 35.00 105.00 36.00 49.00 44.00 157.00 204.00 260.00 2,034.00 45 2007 366.00 273.00 495.00 220.00 88.00 10.00 62.00 28.00 69.00 158.00 147.00 239.00 2,155.00 46 2008 397.00 224.00 233.00 97.00 76.00 20.00 15.00 88.00 22.00 190.00 159.00 210.00 1,731.00 47 2009 392.00 333.00 335.00 235.00 45.00 14.00 54.00 28.00 42.00 83.00 259.00 277.00 2,097.00 48 2010 408.00 328.00 503.00 210.00 44.00 37.00 19.00 47.00 43.00 229.00 118.00 328.00 2,314.00 49 2011 452.00 365.00 434.00 252.00 56.00 68.00 84.00 37.00 106.00 170.00 263.00 353.00 2,640.00 50 2012 332.00 407.00 390.00 204.00 85.00 44.00 68.00 29.00 82.00 175.00 108.00 517.00 2,441.00 51 2013 221.00 379.00 368.00 72.00 64.00 83.00 36.00 103.00 56.00 200.00 186.00 349.00 2,117.00 52 2014 481.00 221.00 233.00 149.00 106.00 13.00 51.00 53.00 109.00 123.00 147.00 347.00 2,033.00 53 2015 370.00 400.00 299.00 121.00 100.00 126.00 32.00 47.00 39.00 168.00 121.00 369.00 2,192.00 54 2016 326.00 380.00 451.00 294.00 49.00 13.00 40.00 14.00 6.00 143.00 299.00 426.00 2,441.00 55 2017 395.00 379.00 500.00 147.00 53.00 28.00 212.00 83.00 58.00 135.00 368.00 208.00 2,566.00 56 2018 239.00 288.00 313.00 235.00 85.00 91.00 12.00 11.00 50.00 117.00 144.00 208.00 1,793.00 56 56 56 56 56 56 56 56 56 56 56 56 56 325.02 322.43 344.43 177.32 63.96 43.96 50.70 49.45 82.96 162.41 174.09 281.07 2,077.80 88.26 62.87 94.51 63.65 36.56 43.91 37.50 30.21 39.95 45.48 64.87 73.61 287.57 27.16 19.50 27.44 35.90 57.16 99.87 73.96 61.09 48.15 28.00 37.26 26.19 13.84 570.00 481.00 583.00 311.00 189.00 234.00 212.00 126.00 169.00 293.00 368.00 517.00 2,692.00 166.00 215.00 148.00 58.00 0.00 2.00 12.00 8.00 6.00 58.00 73.00 142.00 1,484.00 Prec. 10% 438.17 403.03 465.59 258.92 110.84 100.25 98.77 88.17 134.18 220.71 257.25 375.44 245.94 Prec. 25% 384.60 364.87 408.22 220.29 88.65 73.60 76.01 69.84 109.93 193.11 217.88 330.76 211.48 Prec. 75% 265.44 279.99 280.64 134.36 39.28 14.33 25.39 29.06 56.00 131.71 130.30 231.38 134.82 Prec. 90% 211.86 241.83 223.27 95.72 17.09 -12.32 2.63 10.72 31.75 104.11 90.93 186.70 100.36 FUENTE : SENAMHI Prec. Min. Cuadro N° 08 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. Distrito REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS COMPLETADOS (SIH - HEC4) (mm) Departamento Provincia 0 100 200 300 400 500 600 700 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2011) HISTOGRAMA 0 100 200 300 400 500 600 700 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 9. Estacion : HUYRO Latitud : 13°40'01" S : Cusco Tipo : CO-678 Longitud : 72°27'01" W : La Convención Altitud : 1,700.00 msnm : Huyro N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 520.00 307.00 361.00 284.00 75.00 42.00 50.00 44.00 81.00 25.00 184.00 309.00 2,282.00 2 1964 370.00 283.00 173.00 246.00 84.00 21.00 36.00 55.00 19.00 101.00 134.00 149.00 1,671.00 3 1965 243.00 291.00 384.00 189.00 40.00 7.00 14.00 16.00 128.00 135.00 141.00 407.00 1,995.00 4 1966 273.00 207.00 219.00 53.00 46.00 5.00 14.00 28.00 40.00 207.00 227.00 268.00 1,587.00 5 1967 308.00 360.00 396.00 167.00 39.00 21.00 30.00 46.00 52.00 202.00 132.00 267.00 2,020.00 6 1968 446.00 404.00 258.00 122.00 36.00 21.00 37.00 43.00 73.00 109.00 277.00 191.00 2,017.00 7 1969 266.00 313.00 256.00 212.00 146.00 85.00 21.00 13.00 70.00 156.00 226.00 251.00 2,015.00 8 1970 486.00 267.00 240.00 293.00 164.00 45.00 60.00 37.00 91.00 138.00 94.00 393.00 2,308.00 9 1971 377.00 516.00 278.00 129.00 49.00 46.00 8.00 20.00 47.00 98.00 121.00 288.00 1,977.00 10 1972 455.00 311.00 257.00 189.00 26.00 1.00 47.00 103.00 64.00 101.00 280.00 226.00 2,060.00 11 1973 411.00 387.00 332.00 276.00 80.00 20.00 28.00 64.00 98.00 141.00 141.00 242.00 2,220.00 12 1974 314.00 442.00 198.00 192.00 7.00 43.00 52.00 116.00 51.00 115.00 67.00 190.00 1,787.00 13 1975 269.00 357.00 195.00 170.00 69.00 35.00 22.00 63.00 84.00 77.00 76.00 158.00 1,575.00 14 1976 159.00 335.00 410.00 185.00 83.00 57.00 56.00 91.00 165.00 37.00 93.00 198.00 1,869.00 15 1977 310.00 462.00 357.00 102.00 86.00 0.00 36.00 23.00 91.00 123.00 290.00 175.00 2,055.00 16 1978 531.00 249.00 347.00 146.00 92.00 14.00 16.00 0.00 0.00 0.00 0.00 164.00 1,559.00 17 1979 212.00 220.00 316.00 117.00 9.00 0.00 29.00 17.00 63.00 53.00 115.00 147.00 1,298.00 18 1980 141.00 117.00 121.00 42.00 21.00 9.00 12.00 25.00 7.00 68.00 62.00 56.00 681.00 19 1981 139.00 153.00 155.00 194.00 7.00 0.00 0.00 14.00 120.00 14.00 215.00 275.00 1,286.00 20 1982 171.00 249.00 162.00 98.00 97.00 3.00 8.00 22.00 103.00 140.00 149.00 209.00 1,411.00 21 1983 247.00 306.00 439.00 140.00 62.00 5.00 39.00 2.00 20.00 181.00 185.00 315.00 1,941.00 22 1984 370.00 255.00 301.00 151.00 32.00 57.00 46.00 52.00 115.00 102.00 189.00 316.00 1,986.00 23 1985 379.00 227.00 260.00 296.00 50.00 15.00 16.00 9.00 15.00 181.00 217.00 161.00 1,826.00 24 1986 242.00 513.00 269.00 124.00 47.00 3.00 29.00 8.00 53.00 114.00 218.00 275.00 1,895.00 25 1987 546.00 481.00 301.00 226.00 25.00 3.00 32.00 3.00 94.00 172.00 216.00 347.00 2,446.00 26 1988 300.00 542.00 337.00 269.00 105.00 2.00 19.00 10.00 122.00 49.00 176.00 163.00 2,094.00 27 1989 327.00 351.00 255.00 206.00 136.00 16.00 33.00 66.00 84.00 77.00 15.00 288.00 1,854.00 28 1990 597.00 482.00 286.00 154.00 97.00 164.00 50.00 63.00 122.00 168.00 208.00 268.00 2,659.00 29 1991 374.00 391.00 320.00 252.00 96.00 69.00 43.00 61.00 94.00 19.00 181.00 259.00 2,159.00 30 1992 349.00 170.00 277.00 258.00 28.00 6.00 14.00 2.00 104.00 159.00 112.00 276.00 1,755.00 31 1993 339.00 381.00 333.00 227.00 4.00 0.00 0.00 4.00 108.00 66.00 209.00 199.00 1,870.00 32 1994 225.00 296.00 199.00 151.00 107.00 38.00 32.00 91.00 49.00 181.00 206.00 236.00 1,811.00 33 1995 160.00 348.00 247.00 261.00 129.00 25.00 20.00 45.00 36.00 92.00 196.00 181.00 1,740.00 34 1996 181.00 188.00 165.00 115.00 49.00 1.00 22.00 68.00 47.00 125.00 215.00 97.00 1,273.00 35 1997 183.00 312.00 252.00 141.00 21.00 46.00 40.00 87.00 122.00 141.00 210.00 104.00 1,659.00 36 1998 427.00 179.00 149.00 209.00 21.00 38.00 49.00 11.00 122.00 5.00 178.00 265.00 1,653.00 37 1999 293.00 574.00 207.00 336.00 198.00 50.00 22.00 18.00 47.00 122.00 165.00 187.00 2,219.00 38 2000 480.00 468.00 304.00 236.00 31.00 30.00 42.00 62.00 54.00 181.00 169.00 138.00 2,195.00 39 2001 228.00 377.00 212.00 96.00 27.00 50.00 37.00 70.00 77.00 180.00 218.00 194.00 1,766.00 40 2002 211.00 290.00 225.00 140.00 16.00 10.00 34.00 74.00 73.00 36.00 187.00 324.00 1,620.00 41 2003 294.00 303.00 365.00 260.00 57.00 17.00 50.00 95.00 81.00 15.00 189.00 98.00 1,824.00 42 2004 212.00 310.00 141.00 82.00 23.00 7.00 48.00 77.00 73.00 146.00 149.00 215.00 1,483.00 43 2005 192.00 303.00 200.00 179.00 9.00 0.00 1.00 15.00 63.00 158.00 166.00 302.00 1,588.00 44 2006 259.00 99.00 154.00 148.00 1.00 21.00 40.00 67.00 20.00 43.00 173.00 297.00 1,322.00 45 2007 442.00 297.00 236.00 188.00 44.00 22.00 29.00 18.00 28.00 181.00 159.00 145.00 1,789.00 46 2008 334.00 234.00 226.00 133.00 42.00 1.00 6.00 65.00 84.00 172.00 203.00 189.00 1,689.00 47 2009 446.00 222.00 303.00 184.00 36.00 13.00 36.00 8.00 33.00 20.00 158.00 355.00 1,814.00 48 2010 484.00 423.00 333.00 204.00 18.00 15.00 3.00 41.00 54.00 181.00 207.00 285.00 2,248.00 49 2011 497.00 351.00 210.00 152.00 55.00 23.00 38.00 72.00 65.00 134.00 197.00 126.00 1,920.00 50 2012 352.00 124.00 283.00 225.00 105.00 109.00 50.00 59.00 46.00 177.00 97.00 116.00 1,743.00 51 2013 190.00 341.00 322.00 131.00 12.00 19.00 38.00 78.00 74.00 14.00 165.00 322.00 1,706.00 52 2014 411.00 315.00 197.00 141.00 220.00 3.00 31.00 15.00 70.00 44.00 86.00 289.00 1,822.00 53 2015 409.00 390.00 265.00 143.00 58.00 51.00 33.00 44.00 120.00 176.00 121.00 181.00 1,991.00 54 2016 216.00 481.00 330.00 243.00 59.00 53.00 17.00 3.00 26.00 145.00 215.00 126.00 1,914.00 55 2017 440.00 527.00 309.00 255.00 37.00 54.00 37.00 71.00 56.00 158.00 198.00 266.00 2,408.00 56 2018 411.00 300.00 299.00 229.00 63.00 109.00 24.00 1.00 14.00 152.00 118.00 180.00 1,900.00 56 56 56 56 56 56 56 56 56 56 56 56 56 329.43 328.23 266.54 183.77 60.29 28.93 29.93 42.41 69.86 112.63 165.98 225.86 1,843.84 117.83 112.54 73.98 64.84 47.97 32.03 15.38 31.28 36.15 60.11 60.04 79.37 335.06 35.77 34.29 27.76 35.29 79.57 110.71 51.40 73.76 51.74 53.37 36.17 35.14 18.17 597.00 574.00 439.00 336.00 220.00 164.00 60.00 116.00 165.00 207.00 290.00 407.00 2,659.00 139.00 99.00 121.00 42.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 56.00 681.00 Prec. 10% 480.49 472.50 361.38 266.90 121.78 69.99 49.65 82.52 116.20 189.68 242.95 327.61 231.80 Prec. 25% 408.96 404.19 316.47 227.54 92.66 50.55 40.31 63.53 94.26 153.20 206.51 279.43 194.80 Prec. 75% 249.89 252.27 216.60 140.00 27.91 7.31 19.55 21.29 45.46 72.05 125.46 172.28 112.51 Prec. 90% 178.37 183.96 171.69 100.64 -1.21 -12.13 10.21 2.30 23.52 35.57 89.01 124.10 75.50 FUENTE : SENAMHI Prec. Min. Cuadro N° 09 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. Distrito REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS COMPLETADOS (SIH - HEC4) (mm) Departamento Provincia 0 100 200 300 400 500 600 700 800 900 1,000 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2011) HISTOGRAMA 0 100 200 300 400 500 600 700 800 900 1,000 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 10. ALTITUD PRECIPITACION PRECIPITACION MEDIA MEDIA ANUAL MEDIA ANUAL CORREGIDA msnm mm X2 Y2 X*Y2 Y4 mm QUILLABAMBA 990.00 1,219.13 9.80E+05 1.49E+06 1.47E+09 2.21E+12 1,320.67 QUEBRADA 1,185.00 1,457.75 1.40E+06 2.13E+06 2.52E+09 4.52E+12 1,444.51 MACHUPICCHU 2,563.00 2,077.80 6.57E+06 4.32E+06 1.11E+10 1.86E+13 2,122.86 HUYRO 1,700.00 1,843.84 2.89E+06 3.40E+06 5.78E+09 1.16E+13 1,729.45 SUMA 6,438.00 6,598.52 1.18E+07 1.13E+07 2.08E+10 3.69E+13 6,617.49 n 4 4 4 4 4 4 4 PROMEDIO 1,609.50 1,649.63 2.96E+06 2.83E+06 5.21E+09 9.23E+12 1654.37 FORMULAS PARA EL CALCULO DE PARAMETROS DE REGRESION A= SUM X 6.44E+03 G = C-(A^2)/n 1.48E+06 COEF. INDEPENDIENTE Bo = 5.631E+03 B= SUM Y 6.60E+03 H = F-A*D/n 2.60E+09 COEF. DEPENDIENTE B1 = 1.756E+03 C= SUM X^2 1.18E+07 I = F-(D^2)/n 4.84E+12 COEF. DE CORRELACION r = 0.972 D= SUM Y^2 1.13E+07 J = H/G 1.76E+03 E= SUM X*Y^2 2.08E+10 K = (D-J*A)/n 5.63E+03 PRECIP. MEDIA ANUAL EN LAS MICROCUENCAS F= SUM Y^4 3.69E+13 CUENCAS FORMULAS DE PARAMETROS DE REGRESION Cuenca Mantoreal 2,518.27 2,104.28 COEF. INDEPENDIENTE Bo= (D-J*A)/n COEF. DEPENDIENTE B1= H/G COEF. DE CORRELACION r = H/SQRT(G*I) DESVIACION ESTANDAR S = (D-A^2/n)-(K*(A*D-A*B)/n) AREAS DE CULTIVO Área de Cultivos 790.00 1,180.23 DATE & HOUR OF PROCESS : VALORES DE PARAMETROS DE REGRESION 02/08/2019 16:19 ANALISIS REGIONAL DE PRECIPITACION ECUACION DE REGRESION PRECIPITACION - ALTITUD Cuadro N° 10 NOMBRE DE LA ESTACION ECUACION DE REGRESION P2 = BO + B1 * H 1,000 1,200 1,400 1,600 1,800 2,000 2,200 2,400 800 1,000 1,200 1,400 1,600 1,800 2,000 2,200 2,400 2,600 PRECIPITACION (mm) ALTITUD (msnm) REEGIONALIZACION DE LA PRECIPITACION HISTORICA REGIONALIZADA
  • 11. Altitud Precipitac. º ' " Grados º ' " Grados Media Media E.C01 E.C01 156302 E1 QUILLABAMBA Urubamba 12 51 21 12.86 72 41 30 72.69 990.00 1,219.13 156322 E2 QUEBRADA Urubamba 12 40 43.9 12.68 72 16 42 72.28 1,185.00 1,457.75 156312 E3 MACHUPICCHU Urubamba 13 10 00 13.17 72 32 44 72.55 2,563.00 2,077.80 156310 E4 HUYRO Urubamba 13 04 01 13.07 72 27 01 72.45 1,700.00 1,843.84 E5 E6 E7 E8 E9 001 E.C01 Cuenca Mantoreal 12 42 14 12.70 72 36 13 72.60 2,518.27 2,104.28 E.C01 = 0.731 x E1 + 0.329 x E2 + 0.162 x E3 + 0.215 x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 002 E.C02 E.C02 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 003 E.C03 E.C03 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 004 E.C04 E.C04 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 005 E.C05 E.C05 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 006 E.S06 Área de Cultivos 12 39 17.81 12.65 72 33 46.03 72.56 790.00 1,180.23 E.S06 = 0.338 x E1 + 0.237 x E2 + 0.093 x E3 + 0.125 x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 007 E.S07 E.S07 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 008 E.S08 E.S08 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 009 E.S09 E.S09 = x E1 + x E2 + x E3 + x E4 + x E5 + x E6 + x E 7 + x E8 + x E9 ECUACIONES DE INFLUENCIA ENTRE ESTACIONES BASE Y ESTACIONES EN ESTUDIO Cuadro N° 11 COD HEC VARIABLE ESTACION CUENCA Latitud Sur Longitud Oeste FACTOR INFLUENCIA ALTITUDINAL (ai) FACTOR INFLUENCIA GEOGRAFICA (bi) E.S06 E.S07 E.S08 E.S09 E.C03 E.C04 E.C05 E.S08 E.S09 E.C02 E.C02 E.C03 E.C04 E.C05 E.S06 E.S07 1.73 0.97 0.25 0.25 0.35 0.25 0.25 0.25 0.42 0.25 0.25 0.25 0.25 0.25 0.23 0.25 0.25 1.01 0.57 0.25 0.25 0.29 1.44 0.81 0.25 0.25 0.16 0.25 0.25 0.25 0.16 0.25 0.25 0.25 0.25 0.25 0.19 0.25 0.25 0.25 0.25 0.20 1.14 0.64 ESTACIONES EN ESTUDIO (Ei) ECUACIONES DE INFLUENCIA
  • 12. Estacion : Latitud : 12°39'17.81'' S : Cusco Longitud : 72°36'12.69'' W : La Convención Altitud : 2,518.27 msnm : Echarati N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 326.11 256.12 165.26 141.46 68.84 49.18 52.43 29.80 60.67 109.65 86.37 210.61 1,556.50 2 1964 224.87 284.14 217.95 211.52 45.20 26.89 6.75 49.28 36.70 49.07 65.32 145.08 1,362.78 3 1965 206.31 254.10 270.22 121.72 14.12 6.82 46.97 22.46 149.77 146.20 107.79 241.51 1,588.00 4 1966 219.12 236.19 150.48 33.03 50.88 4.31 26.54 23.90 43.38 155.44 150.83 182.67 1,276.77 5 1967 168.07 222.48 319.07 74.72 31.22 21.46 48.12 49.57 60.61 188.11 118.43 188.75 1,490.61 6 1968 259.56 253.80 260.43 101.00 38.59 40.70 74.91 73.09 55.73 118.41 183.78 163.36 1,623.37 7 1969 230.48 180.31 231.00 151.71 73.20 75.51 18.59 11.61 97.61 130.68 142.00 209.78 1,552.47 8 1970 250.98 156.25 213.96 145.62 79.75 24.04 34.63 35.12 64.18 150.63 112.11 261.12 1,528.41 9 1971 197.43 243.81 212.62 75.33 38.04 55.55 15.90 39.84 74.62 98.13 98.40 168.55 1,318.22 10 1972 286.11 154.28 206.31 76.67 56.92 5.70 22.87 85.49 40.71 50.61 192.74 170.31 1,348.72 11 1973 266.15 236.41 201.68 172.44 66.90 24.25 40.75 66.26 97.37 90.68 177.39 242.58 1,682.85 12 1974 234.39 256.49 134.80 199.62 18.61 22.68 30.90 69.34 55.79 107.86 78.23 107.93 1,316.66 13 1975 198.09 293.77 169.47 113.98 77.96 47.69 21.76 24.26 105.80 104.19 191.80 259.38 1,608.16 14 1976 277.22 237.18 211.40 167.01 67.35 14.30 15.38 66.65 147.47 130.42 79.34 230.66 1,644.38 15 1977 248.06 252.09 215.06 65.26 55.45 2.11 49.06 10.00 83.64 64.20 128.19 184.94 1,358.06 16 1978 291.80 159.32 243.10 91.07 88.61 16.39 3.58 13.46 11.25 159.75 181.02 319.19 1,578.54 17 1979 201.50 181.12 197.19 87.52 30.20 9.77 34.75 8.07 37.09 132.49 156.48 186.16 1,262.34 18 1980 218.17 252.68 234.84 114.13 27.29 9.27 45.98 53.19 58.09 142.87 129.05 141.43 1,426.99 19 1981 258.92 217.24 205.82 119.97 38.90 1.87 27.98 12.97 95.84 116.95 330.16 305.22 1,731.84 20 1982 260.07 319.26 318.03 131.89 81.50 23.64 80.07 15.77 77.96 138.72 161.92 294.95 1,903.77 21 1983 245.06 249.94 263.20 50.63 37.18 16.75 42.42 11.24 36.88 311.20 73.07 137.68 1,475.27 22 1984 171.56 248.07 232.90 113.07 35.90 28.33 9.04 25.97 91.51 184.10 124.64 221.69 1,486.78 23 1985 212.19 306.28 169.03 218.23 55.21 16.89 48.14 64.49 58.06 180.42 96.54 190.78 1,616.27 24 1986 205.01 301.67 222.92 111.67 63.15 19.59 95.01 21.50 53.93 159.73 203.66 309.36 1,767.20 25 1987 503.38 263.63 235.07 210.43 58.00 35.59 32.45 8.58 93.38 137.86 537.75 443.65 2,559.79 26 1988 470.38 497.43 638.99 432.47 142.78 7.29 19.83 7.95 184.40 203.42 188.93 464.96 3,258.84 27 1989 507.18 177.88 395.55 183.27 56.28 1.13 37.60 87.91 77.18 161.74 113.15 287.69 2,086.55 28 1990 471.16 281.30 288.45 98.44 142.65 262.52 48.56 80.32 153.40 294.33 268.14 247.51 2,636.78 29 1991 419.55 267.83 459.62 208.75 107.10 66.95 25.35 25.35 83.33 89.47 86.45 170.41 2,010.18 30 1992 202.26 182.92 253.07 134.71 34.32 47.59 53.20 20.55 96.88 94.57 111.47 205.55 1,437.07 31 1993 290.41 247.83 275.82 169.51 8.37 1.71 22.30 3.91 101.36 81.73 101.67 242.76 1,547.39 32 1994 281.31 184.60 235.51 117.27 118.24 36.20 32.93 61.72 68.87 169.01 193.95 281.71 1,781.32 33 1995 344.29 324.81 296.95 115.40 110.89 18.40 28.09 51.82 42.62 128.13 196.56 131.10 1,789.06 34 1996 207.23 283.45 156.19 132.33 44.02 8.77 18.18 32.24 72.28 105.02 120.85 146.03 1,326.59 35 1997 235.96 343.47 226.89 118.37 35.82 34.62 9.77 57.63 128.97 189.12 175.92 227.69 1,784.23 36 1998 220.39 244.89 306.81 137.34 7.36 7.65 5.69 16.61 105.23 190.13 106.38 208.80 1,557.29 37 1999 377.91 525.86 303.79 263.27 108.98 15.86 40.60 2.75 61.24 103.93 108.76 195.59 2,108.54 38 2000 368.85 299.34 245.86 105.98 33.65 81.69 16.43 58.11 65.81 82.25 61.30 139.59 1,558.87 39 2001 342.35 307.88 284.80 68.89 61.57 35.02 49.39 34.78 67.78 157.90 127.65 162.50 1,700.51 40 2002 221.19 267.40 256.57 104.63 47.46 32.74 100.71 72.73 64.31 187.02 156.40 312.34 1,823.50 41 2003 244.33 280.42 313.64 134.86 55.33 22.15 12.17 124.79 73.93 117.82 86.28 277.59 1,743.29 42 2004 316.78 227.44 188.11 134.35 53.42 28.65 85.82 69.58 68.64 153.53 187.56 150.42 1,664.30 43 2005 174.12 211.19 244.45 125.87 30.70 6.10 50.51 24.39 64.59 116.86 59.71 267.68 1,376.17 44 2006 292.47 246.99 274.07 164.20 13.15 55.62 14.41 42.55 32.12 168.87 179.64 272.71 1,756.79 45 2007 313.22 145.50 327.33 203.89 55.06 17.92 31.38 13.52 39.09 220.28 113.76 164.59 1,645.53 46 2008 333.85 195.78 207.20 119.30 34.70 6.34 15.55 31.07 55.96 203.56 137.73 161.36 1,502.39 47 2009 317.72 306.55 225.15 112.05 35.28 12.17 36.04 21.35 32.57 160.16 264.85 249.59 1,773.49 48 2010 261.14 279.85 364.49 117.89 30.69 27.66 21.02 39.30 43.91 237.66 103.42 205.60 1,732.66 49 2011 298.34 329.79 349.20 167.42 64.38 28.31 73.25 85.21 71.26 209.60 194.34 294.49 2,165.59 50 2012 241.23 310.07 184.95 163.28 63.83 56.17 31.46 24.90 51.31 122.91 115.56 345.59 1,711.28 51 2013 215.74 261.03 262.65 144.17 27.35 51.00 13.86 78.50 55.85 243.02 135.29 292.94 1,781.39 52 2014 399.83 230.50 258.57 108.54 134.46 3.42 48.97 26.19 72.64 84.54 126.14 245.17 1,738.96 53 2015 308.46 297.11 191.98 129.08 83.41 47.20 22.10 13.96 91.93 166.00 164.88 210.11 1,726.20 54 2016 277.00 272.90 405.04 157.94 41.20 14.35 66.10 49.68 27.52 203.81 201.29 261.73 1,978.54 55 2017 320.33 394.31 525.59 179.65 59.39 51.46 117.90 75.63 61.22 149.97 370.00 203.30 2,508.74 56 2018 202.49 213.41 181.55 126.29 64.89 31.49 8.30 7.38 30.28 99.65 114.48 233.96 1,314.16 56 56 56 56 56 56 56 56 56 56 56 56 56 279.25 261.72 261.26 138.91 57.24 30.67 37.19 39.90 72.05 147.40 153.21 228.19 1,706.98 81.99 70.71 90.83 60.25 31.99 37.16 25.24 27.67 33.88 54.34 80.96 71.57 367.65 29.36 27.02 34.77 43.37 55.89 121.17 67.87 69.35 47.03 36.86 52.84 31.36 21.54 507.18 525.86 638.99 432.47 142.78 262.52 117.90 124.79 184.40 311.20 537.75 464.96 3,258.84 168.07 145.50 134.80 33.03 7.36 1.13 3.58 2.75 11.25 49.07 59.71 107.93 1,262.34 Prec. 10% 384.37 352.37 377.71 216.15 98.26 78.31 69.54 75.37 115.48 217.06 256.99 319.94 2,561.55 Prec. 25% 334.60 309.45 322.57 179.58 78.84 55.75 54.22 58.57 94.91 184.08 207.85 276.49 2,156.93 Prec. 75% 223.91 213.99 199.95 98.24 35.65 5.58 20.15 21.22 49.18 110.72 98.56 179.88 1,257.03 Prec. 90% 174.13 171.08 144.81 61.67 16.23 -16.97 4.83 4.43 28.61 77.74 49.42 136.43 852.42 FUENTE : SENAMHI REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS GENERADOS (mm) Cuenca Mantoreal Departamento Provincia Distrito Prec. Min. Cuadro N° 12 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 PRECIPITACION (mm) MESES (PERIODO 1963 - 2015) HISTOGRAMA 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 13. Estacion : Latitud : 12°39'17.81'' S : Cusco Longitud : 72°33'46.03'' W : La Convención Altitud : 790.00 msnm : Echarati N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL 1 1963 171.36 150.12 89.34 80.36 39.35 28.03 30.11 15.23 35.12 70.71 50.56 120.44 880.73 2 1964 125.41 162.21 119.46 117.08 26.49 18.01 4.12 28.90 20.77 24.92 38.97 82.52 768.88 3 1965 120.56 142.40 151.87 65.12 9.40 3.99 23.93 12.14 81.23 80.21 61.21 134.66 886.72 4 1966 134.17 137.14 86.50 18.25 26.74 2.11 15.72 14.04 23.01 82.06 82.14 100.74 722.63 5 1967 95.68 129.94 180.31 44.62 18.15 12.08 23.56 27.87 32.27 112.56 70.96 106.39 854.39 6 1968 136.21 141.56 150.21 58.83 25.32 27.79 45.86 41.08 31.41 66.05 103.00 87.76 915.08 7 1969 131.75 104.75 129.92 83.56 42.42 38.18 10.38 6.07 61.59 80.67 77.72 117.23 884.23 8 1970 133.71 92.56 109.20 76.46 43.55 12.13 19.28 22.75 36.85 88.39 67.12 142.64 844.64 9 1971 106.90 132.06 123.75 39.49 20.32 28.39 10.68 24.73 39.60 59.08 54.91 99.05 738.97 10 1972 161.84 79.90 116.58 41.32 34.37 2.93 14.19 43.51 22.42 26.11 102.79 90.57 736.52 11 1973 145.45 129.02 107.93 93.59 37.64 14.43 21.38 32.99 55.14 46.68 96.51 126.54 907.29 12 1974 127.79 140.03 75.37 114.74 11.06 13.42 15.62 34.33 32.27 63.78 46.87 62.24 737.52 13 1975 113.03 163.72 89.82 66.08 44.68 28.31 12.32 12.14 59.90 58.25 113.76 143.54 905.55 14 1976 154.94 128.03 121.94 97.37 41.22 8.40 8.58 35.19 80.12 83.90 48.87 133.44 942.01 15 1977 145.86 135.51 115.95 37.44 30.37 1.10 25.99 5.87 47.45 37.67 65.73 102.92 751.86 16 1978 150.08 89.86 141.61 50.49 44.56 9.32 2.24 9.39 7.21 93.54 115.86 177.52 891.68 17 1979 118.89 105.21 112.60 51.39 16.71 6.22 19.15 4.86 24.28 85.81 90.76 104.60 740.48 18 1980 127.65 144.06 130.09 64.59 13.88 4.70 23.71 31.67 30.42 77.12 79.80 85.68 813.35 19 1981 148.56 121.64 116.70 65.40 21.37 1.09 15.78 7.58 51.54 75.71 172.03 164.71 962.11 20 1982 145.10 176.58 177.19 79.34 48.07 11.56 43.34 8.71 41.78 83.97 91.26 167.79 1,074.70 21 1983 140.31 139.11 146.02 27.90 20.74 9.99 27.67 7.70 20.55 162.84 43.65 74.13 820.62 22 1984 95.73 146.40 129.97 64.56 21.79 15.47 5.68 14.72 49.68 110.11 68.81 124.81 847.73 23 1985 117.84 172.92 90.61 111.71 28.05 9.75 29.58 39.84 29.72 92.38 52.19 105.70 880.28 24 1986 120.80 155.44 126.64 64.16 35.93 11.66 57.82 14.15 28.84 95.59 105.95 166.61 983.59 25 1987 261.86 144.46 131.81 113.39 32.97 17.30 20.55 5.01 53.99 74.46 268.08 243.03 1,366.90 26 1988 248.40 249.61 334.21 223.90 74.11 4.32 13.57 4.79 99.53 119.25 104.90 262.51 1,739.11 27 1989 261.85 95.93 207.73 104.93 30.10 0.65 18.95 47.78 39.91 98.02 70.42 167.68 1,143.95 28 1990 243.44 149.48 163.78 53.51 74.07 142.00 28.80 44.57 84.20 160.96 143.63 133.52 1,421.96 29 1991 230.90 148.50 246.24 113.54 57.26 39.33 16.25 14.61 44.44 52.94 51.23 91.52 1,106.76 30 1992 118.68 104.54 141.30 73.59 20.29 23.91 30.34 13.54 54.21 51.39 69.86 117.31 818.98 31 1993 159.52 131.57 155.99 90.16 3.96 1.00 11.84 2.48 59.30 45.90 56.32 132.63 850.66 32 1994 166.93 102.47 133.55 64.91 61.39 20.06 17.72 30.94 37.22 96.68 105.56 155.58 993.02 33 1995 198.51 169.76 168.46 62.73 61.39 11.18 15.92 27.46 24.05 75.50 108.39 76.12 999.46 34 1996 116.57 159.25 87.04 76.71 24.29 4.73 10.70 15.64 40.46 59.20 66.40 84.48 745.47 35 1997 124.43 187.59 128.80 66.14 18.22 19.52 5.70 28.22 71.96 112.20 97.55 127.58 987.91 36 1998 118.46 140.58 165.41 76.23 4.47 4.19 3.50 10.31 58.38 112.45 61.81 112.70 868.48 37 1999 210.05 266.13 160.40 133.14 62.64 8.68 24.45 1.57 36.97 59.33 64.75 111.13 1,139.25 38 2000 196.85 161.49 136.77 57.45 18.68 45.12 10.77 31.90 37.38 45.45 34.84 79.89 856.58 39 2001 185.28 167.77 153.70 38.33 34.48 21.33 26.74 18.18 41.63 87.72 69.48 89.82 934.49 40 2002 131.67 147.23 138.52 60.11 27.11 19.00 56.07 37.60 36.63 112.30 87.62 174.70 1,028.57 41 2003 137.79 159.05 177.23 72.90 34.53 13.15 6.68 66.23 37.57 73.21 49.66 159.58 987.57 42 2004 184.88 127.28 106.59 77.06 28.49 15.81 47.20 39.58 37.39 84.01 108.97 85.00 942.26 43 2005 99.70 119.49 134.33 69.04 15.09 3.03 24.77 15.33 37.03 66.27 35.73 151.11 770.90 44 2006 169.71 143.05 151.13 90.37 7.13 32.07 8.57 24.18 18.68 99.13 105.21 154.50 1,003.74 45 2007 164.10 80.36 188.58 113.09 31.51 9.65 18.65 7.93 24.03 122.78 67.81 92.63 921.14 46 2008 185.48 105.12 114.60 67.55 20.52 3.71 8.39 16.70 32.77 116.36 78.02 90.62 839.86 47 2009 169.34 173.73 128.09 62.27 19.99 7.48 19.58 13.75 19.61 92.19 144.95 138.80 989.77 48 2010 155.22 149.25 200.71 68.74 17.09 14.89 11.67 22.64 24.37 130.23 56.95 111.60 963.37 49 2011 166.15 179.59 189.29 94.17 37.27 14.82 41.12 45.40 43.28 117.63 106.15 164.97 1,199.85 50 2012 129.26 178.44 102.21 92.33 36.95 29.98 17.45 13.47 27.65 69.43 66.10 191.28 954.55 51 2013 126.26 145.73 146.04 76.85 15.90 27.77 8.74 42.21 30.21 139.44 76.19 165.44 1,000.77 52 2014 216.33 131.07 151.51 60.46 72.62 2.15 25.76 14.58 41.03 50.74 72.78 133.78 972.82 53 2015 171.99 164.99 107.72 74.94 48.04 27.96 11.38 7.80 49.81 96.06 95.80 115.93 972.44 54 2016 155.47 145.27 219.48 91.80 24.15 8.14 36.27 33.68 15.71 111.86 109.93 150.17 1,101.90 55 2017 170.77 202.63 272.61 95.53 32.64 25.66 62.71 37.99 32.90 82.33 195.13 112.02 1,322.93 56 2018 109.58 126.37 101.21 66.33 37.52 18.80 4.56 5.04 18.52 57.63 67.83 133.11 746.52 56 56 56 56 56 56 56 56 56 56 56 56 56 154.55 144.25 144.37 76.72 31.91 17.08 20.93 22.08 40.25 84.49 85.71 127.37 949.70 41.19 34.89 47.13 31.23 17.08 20.15 14.01 14.58 18.46 30.03 40.61 39.65 188.14 26.65 24.19 32.65 40.71 53.51 117.96 66.94 66.02 45.86 35.54 47.38 31.13 19.81 261.86 266.13 334.21 223.90 74.11 142.00 62.71 66.23 99.53 162.84 268.08 262.51 1,739.11 95.68 79.90 75.37 18.25 3.96 0.65 2.24 1.57 7.21 24.92 34.84 62.24 722.63 Prec. 10% 207.36 188.98 204.79 116.76 53.80 42.91 38.89 40.77 63.91 122.98 137.76 178.20 1,397.12 Prec. 25% 182.36 167.80 176.18 97.80 43.44 30.68 30.39 31.92 52.71 104.75 113.11 154.14 1,185.28 Prec. 75% 126.75 120.70 112.56 55.63 20.38 3.48 11.47 12.24 27.79 64.22 58.30 100.61 714.13 Prec. 90% 101.75 99.52 83.95 36.67 10.02 -8.75 2.97 3.39 16.58 45.99 33.65 76.55 502.29 FUENTE : SENAMHI REGISTRO DE PRECIPITACION MENSUAL ACUMULADA REGISTROS GENERADOS (mm) Área de Cultivos Departamento Provincia Distrito Prec. Min. Cuadro N° 13 N° Datos Media Desv. Estandar Coef. Variacion Prec. Max. 0 50 100 150 200 250 300 350 400 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 PRECIPITACION (mm) MESES (PERIODO 1963 - 2015) HISTOGRAMA 0 50 100 150 200 250 300 350 400 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Prec. Max. Prec. Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 14. CAUDALES GENERADOS PARA EL AÑO PROMEDIO CUENCA: RÍO MANTOREAL Área (km²): 31.747 ESTACIÓN: CAPTACIÓN MANTOREAL Pendiente (km/km): 0.661 Cuadro N° 14 DATOS CAUDALES GENERADOS (m³/s) Caudal ÍTEM MES Precip. Media de la Cuenca Caudal Medio Aforado Asumido (mm) (m³/s) (m³/s) Pmg Qmh Qg1 Qg2 Qg3 Qg4 Qg 1 ENE 279.25 3.495 1.315 1.743 1.888 3.495 2 FEB 261.72 1.706 1.203 1.643 1.172 1.706 3 MAR 261.26 1.133 1.133 1.640 0.887 1.133 4 ABR 138.91 0.764 0.715 0.759 0.814 0.728 0.759 5 MAY 57.24 0.537 0.450 0.487 0.477 0.625 0.487 6 JUN 30.67 0.328 0.317 0.331 0.326 0.551 0.326 7 JUL 37.19 0.235 0.246 0.217 0.277 0.496 0.217 8 AGO 39.90 0.230 0.244 0.238 0.296 0.452 0.238 9 SET 72.05 0.268 0.265 0.250 0.226 0.417 0.265 10 OCT 147.40 0.373 0.375 0.375 0.265 0.388 0.375 11 NOV 153.21 0.428 0.437 0.436 0.762 0.363 0.437 12 DIC 228.19 0.365 0.386 0.389 0.374 0.342 0.374 N° Datos 12 9 12 12 12 12 12 Total Anual 1,706.98 3.528 9.768 7.134 8.841 8.310 9.811 Media 142.25 0.392 0.814 0.594 0.737 0.693 0.818 Caudal Max. 279.25 0.764 3.495 1.315 1.743 1.888 3.495 Caudal Min. 30.67 0.230 0.244 0.217 0.226 0.342 0.217 Varianza 0.904 0.163 0.356 0.202 0.902 Desv. Estándar 95.76 0.170 0.951 0.404 0.596 0.449 0.951 Coef. Variación 0.67 0.435 1.168 0.679 0.810 0.649 1.164 Sesgo 2.424 0.959 0.999 2.015 2.411 Curtosis 9.397 3.027 3.004 7.657 9.362 Ec. Generadas que Rige el Comportamiento Hídrico de la Cuenca en Estudio para el Año Promedio: Ec. ENE: Y= 0.7735*X1^(-1.0096) *X2^(0.2678) Ec. FEB: Y= 0.7735*X1^(-1.0096) *X2^(0.2678) Ec. MAR: Y= 0.7735*X1^(-1.0096) *X2^(0.2678) Ec. ABR: Y = 0.6855 -0.0684 *X1 +0.0025 *X2 Ec. MAY: Y = 0.6855 -0.0684 *X1 +0.0025 *X2 Ec. JUN: Y = -0.8111 +0.0303 *X1 +0.0057 *X2 Ec. JUL: Y = 0.294 + (5.505 / 10.684) * (X * 0.294 / 75.396) - 0.294 * 5.505 / 10.684 Ec. AGO: Y = 0.6855 -0.0684 *X1 +0.0025 *X2 Ec. SET: Y= 0.7735*X1^(-1.0096) *X2^(0.2678) Ec. OCT: Y = 0.2478176 * ( 1.0028148 ) ^ X Ec. NOV: Y = 0.2607945 + 0.0011478 * X Ec. DIC: Y = 0.0053234 * X ^ (0.7829126) Modelo 1 Modelo 2 Modelo 3 Modelo 4 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 0 50 100 150 200 250 300 Caudal Q (m³/s) PrecipitaciónP (mm) Dispersiónde Datos Qmh Qg1 Qg2 Qg3 Qg4 Qg 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC Caudal Q (m³/s) Mes Caudal Históricovs Caudales Generados Qmh Qg1 Qg2 Qg3 Qg4 Qg 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC Caudal Q (m³/s) Mes Caudal Histórico vs Caudal Generado Asumido Qmh Qg
  • 15. Estacion : Latitud : 12º39'23.98" S : Cusco Longitud : 72º07'30.96" W : La Convención Altitud : 887.00 msnm : Echarati Cuadro N° 15 N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC MEDIA ANUAL QMÁX 1 1963 3.644 1.696 1.002 0.766 0.516 0.431 0.248 0.213 0.253 0.337 0.360 0.351 0.818 3.644 2 1964 3.298 1.744 1.079 0.941 0.457 0.304 0.156 0.262 0.221 0.284 0.336 0.262 0.779 3.298 3 1965 3.223 1.693 1.143 0.716 0.379 0.190 0.237 0.194 0.322 0.374 0.385 0.391 0.770 3.223 4 1966 3.276 1.660 0.977 0.494 0.471 0.175 0.196 0.198 0.231 0.384 0.434 0.314 0.734 3.276 5 1967 3.051 1.634 1.195 0.599 0.422 0.273 0.239 0.262 0.253 0.420 0.397 0.322 0.756 3.051 6 1968 3.428 1.692 1.132 0.664 0.440 0.383 0.293 0.321 0.247 0.346 0.472 0.288 0.809 3.428 7 1969 3.320 1.544 1.096 0.791 0.527 0.581 0.180 0.167 0.287 0.358 0.424 0.350 0.802 3.320 8 1970 3.397 1.486 1.074 0.776 0.543 0.288 0.212 0.226 0.256 0.378 0.389 0.415 0.787 3.397 9 1971 3.185 1.674 1.072 0.600 0.439 0.467 0.174 0.238 0.267 0.327 0.374 0.295 0.759 3.185 10 1972 3.518 1.481 1.063 0.604 0.486 0.183 0.188 0.352 0.227 0.286 0.482 0.297 0.764 3.518 11 1973 3.451 1.660 1.057 0.843 0.511 0.289 0.224 0.304 0.287 0.320 0.464 0.392 0.817 3.451 12 1974 3.335 1.697 0.949 0.911 0.390 0.280 0.205 0.312 0.247 0.336 0.351 0.208 0.768 3.335 13 1975 3.188 1.760 1.009 0.697 0.538 0.423 0.186 0.199 0.293 0.332 0.481 0.413 0.793 3.188 14 1976 3.489 1.662 1.070 0.829 0.512 0.232 0.173 0.305 0.321 0.358 0.352 0.377 0.807 3.489 15 1977 3.386 1.689 1.075 0.575 0.482 0.163 0.241 0.163 0.275 0.297 0.408 0.317 0.756 3.386 16 1978 3.537 1.494 1.111 0.640 0.565 0.244 0.150 0.172 0.161 0.388 0.469 0.486 0.785 3.537 17 1979 3.203 1.546 1.050 0.631 0.419 0.207 0.212 0.158 0.221 0.360 0.440 0.319 0.731 3.203 18 1980 3.272 1.690 1.101 0.697 0.412 0.204 0.235 0.271 0.250 0.370 0.409 0.257 0.764 3.272 19 1981 3.425 1.623 1.062 0.712 0.441 0.162 0.199 0.171 0.286 0.344 0.640 0.469 0.794 3.425 20 1982 3.429 1.799 1.194 0.742 0.547 0.286 0.303 0.178 0.270 0.366 0.447 0.457 0.835 3.429 21 1983 3.375 1.685 1.135 0.538 0.436 0.246 0.228 0.166 0.221 0.594 0.345 0.252 0.769 3.375 22 1984 3.068 1.682 1.098 0.695 0.433 0.312 0.161 0.203 0.282 0.416 0.404 0.365 0.760 3.068 23 1985 3.248 1.780 1.008 0.957 0.482 0.247 0.239 0.300 0.250 0.412 0.372 0.325 0.801 3.248 24 1986 3.218 1.772 1.085 0.691 0.501 0.262 0.333 0.192 0.245 0.388 0.495 0.474 0.805 3.218 25 1987 4.093 1.710 1.101 0.938 0.489 0.354 0.208 0.160 0.284 0.365 0.878 0.629 0.934 4.093 26 1988 4.019 2.026 1.439 1.493 0.700 0.192 0.182 0.158 0.340 0.439 0.478 0.652 1.010 4.019 27 1989 4.101 1.539 1.266 0.870 0.484 0.157 0.218 0.358 0.269 0.390 0.391 0.448 0.874 4.101 28 1990 4.021 1.740 1.163 0.658 0.700 1.647 0.240 0.339 0.324 0.567 0.569 0.398 1.030 4.021 29 1991 3.898 1.717 1.317 0.934 0.611 0.532 0.193 0.202 0.275 0.319 0.360 0.297 0.888 3.898 30 1992 3.206 1.550 1.123 0.749 0.429 0.422 0.249 0.190 0.286 0.323 0.389 0.344 0.772 3.206 31 1993 3.532 1.681 1.149 0.836 0.364 0.161 0.187 0.148 0.290 0.312 0.377 0.392 0.786 3.532 32 1994 3.502 1.554 1.101 0.705 0.639 0.357 0.209 0.293 0.261 0.399 0.483 0.441 0.829 3.502 33 1995 3.697 1.808 1.172 0.700 0.621 0.256 0.199 0.268 0.230 0.355 0.486 0.242 0.836 3.697 34 1996 3.227 1.743 0.987 0.743 0.454 0.201 0.179 0.219 0.265 0.333 0.400 0.263 0.751 3.227 35 1997 3.341 1.835 1.091 0.708 0.433 0.348 0.162 0.282 0.309 0.422 0.463 0.373 0.814 3.341 36 1998 3.281 1.676 1.182 0.755 0.362 0.194 0.154 0.180 0.293 0.423 0.383 0.349 0.769 3.281 37 1999 3.790 2.057 1.179 1.070 0.616 0.241 0.224 0.145 0.253 0.332 0.386 0.331 0.885 3.790 38 2000 3.766 1.769 1.114 0.677 0.428 0.616 0.176 0.284 0.258 0.312 0.331 0.254 0.832 3.766 39 2001 3.691 1.782 1.159 0.584 0.497 0.350 0.242 0.225 0.260 0.386 0.407 0.286 0.823 3.691 40 2002 3.284 1.716 1.127 0.673 0.462 0.337 0.345 0.320 0.257 0.419 0.440 0.478 0.822 3.284 41 2003 3.373 1.738 1.189 0.749 0.482 0.277 0.167 0.450 0.266 0.345 0.360 0.436 0.819 3.373 42 2004 3.615 1.643 1.037 0.748 0.477 0.314 0.315 0.312 0.261 0.382 0.476 0.270 0.821 3.615 43 2005 3.080 1.611 1.113 0.727 0.420 0.186 0.244 0.199 0.257 0.344 0.329 0.423 0.744 3.080 44 2006 3.539 1.680 1.147 0.822 0.376 0.468 0.171 0.245 0.213 0.398 0.467 0.430 0.830 3.539 45 2007 3.605 1.458 1.203 0.922 0.481 0.253 0.206 0.172 0.225 0.460 0.391 0.289 0.805 3.605 46 2008 3.667 1.579 1.064 0.710 0.430 0.187 0.174 0.216 0.247 0.439 0.419 0.285 0.785 3.667 47 2009 3.618 1.780 1.088 0.692 0.432 0.220 0.215 0.192 0.214 0.389 0.565 0.401 0.817 3.618 48 2010 3.433 1.737 1.238 0.707 0.420 0.308 0.185 0.237 0.232 0.483 0.379 0.344 0.809 3.433 49 2011 3.558 1.815 1.224 0.830 0.504 0.312 0.290 0.351 0.264 0.447 0.484 0.456 0.878 3.558 50 2012 3.361 1.785 1.032 0.820 0.503 0.471 0.206 0.201 0.242 0.350 0.393 0.517 0.823 3.361 51 2013 3.262 1.705 1.134 0.772 0.412 0.442 0.170 0.335 0.247 0.491 0.416 0.454 0.820 3.262 52 2014 3.848 1.649 1.129 0.683 0.680 0.170 0.241 0.204 0.265 0.314 0.406 0.395 0.832 3.848 53 2015 3.590 1.765 1.043 0.735 0.552 0.420 0.187 0.173 0.282 0.395 0.450 0.350 0.829 3.590 54 2016 3.488 1.725 1.274 0.807 0.446 0.233 0.275 0.262 0.204 0.439 0.492 0.416 0.839 3.488 55 2017 3.626 1.904 1.366 0.861 0.492 0.444 0.379 0.327 0.253 0.378 0.685 0.341 0.921 3.626 56 2018 3.207 1.615 1.027 0.728 0.506 0.330 0.159 0.157 0.210 0.328 0.392 0.381 0.753 3.207 56 56 56 56 56 56 56 56 56 56 56 56 56 56 3.469 1.695 1.122 0.759 0.487 0.326 0.217 0.238 0.259 0.380 0.437 0.371 0.813 3.469 0.257 0.117 0.093 0.151 0.080 0.212 0.051 0.069 0.033 0.062 0.093 0.090 0.059 0.257 7.397 6.876 8.326 19.841 16.436 65.046 23.343 29.057 12.692 16.250 21.281 24.284 7.264 7.397 4.101 2.057 1.439 1.493 0.700 1.647 0.379 0.450 0.340 0.594 0.878 0.652 1.030 4.101 3.051 1.458 0.949 0.494 0.362 0.157 0.150 0.145 0.161 0.284 0.329 0.208 0.731 3.051 10% 3.798 1.845 1.241 0.952 0.589 0.597 0.282 0.327 0.301 0.459 0.556 0.486 0.953 3.798 25% 3.643 1.774 1.185 0.861 0.541 0.469 0.251 0.285 0.281 0.421 0.499 0.432 0.887 3.643 75% 3.296 1.617 1.059 0.658 0.433 0.183 0.183 0.191 0.237 0.338 0.374 0.310 0.740 3.296 90% 3.140 1.546 1.002 0.566 0.384 0.054 0.152 0.149 0.217 0.300 0.318 0.255 0.674 3.140 FUENTE : SENAMHI DATE & HOUR OF PROCESS : REGISTRO DE CAUDALES MENSUALES GENERADOS REGISTRO GENERADO (m³/s) Captación Cuenca Mantoreal Departamento Provincia Distrito 02/08/2019 16:20 N° Datos Media Desv. Estandar Coef. Variacion Máximo Mínimo 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 CAUDAL (m³/s) MESES (PERIODO 2000-2009) HISTOGRAMA 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC CAUDAL (m³/s) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Máximo Mínimo 10% 25% 75% 90% 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN CAUDAL (m³/s) MESES CURVA DE DISTRIBUCIÓN Media Máximo Mínimo 10% 25% 75% 90%
  • 16. Estacion : Latitud : 12º39'23.98" S : Cusco Longitud : 72º07'30.96" W : La Convención Altitud : 887.00 msnm : Echarati Cuadro N° 16 N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC MEDIA ANUAL QMÁX 1 1996 3.227 1.743 0.987 0.743 0.454 0.201 0.182 0.167 0.170 0.333 0.400 0.263 0.739 3.227 2 1997 3.341 1.835 1.091 0.708 0.433 0.360 0.162 0.282 0.172 0.700 0.463 0.373 0.827 3.341 3 1998 3.281 1.676 1.182 0.755 0.362 0.286 0.229 0.180 0.293 0.423 0.383 0.349 0.783 3.281 4 1999 3.790 2.057 1.179 1.070 0.615 0.241 0.345 0.145 0.236 0.332 0.386 0.331 0.894 3.790 5 2000 3.766 1.769 1.114 0.677 0.455 0.501 0.263 0.228 0.200 0.254 0.331 0.254 0.818 3.766 6 2001 3.691 1.782 1.159 0.584 0.433 0.388 0.254 0.357 0.495 0.270 0.663 0.365 0.870 3.691 7 2002 3.284 1.716 1.127 0.673 0.462 0.264 0.254 0.202 0.243 0.409 0.440 0.478 0.796 3.284 8 2003 3.373 1.738 1.189 0.972 0.972 0.354 0.167 0.197 0.293 0.345 0.360 0.436 0.866 3.373 9 2004 3.615 1.643 1.037 0.556 0.415 0.372 0.315 0.404 0.550 0.382 0.476 0.270 0.836 3.615 10 2005 3.080 1.611 1.113 0.727 0.567 0.272 0.196 0.199 0.141 0.344 0.194 0.423 0.739 3.080 11 2006 3.539 1.680 1.147 0.822 0.376 0.244 0.219 0.150 0.213 0.398 0.467 0.430 0.807 3.539 12 2007 3.605 1.458 1.203 0.922 0.302 0.239 0.172 0.135 0.175 0.231 0.391 0.289 0.760 3.605 12 12 12 12 12 12 12 12 12 12 12 12 12 12 3.466 1.726 1.127 0.767 0.487 0.310 0.230 0.221 0.265 0.368 0.413 0.355 0.811 3.466 0.232 0.142 0.065 0.154 0.174 0.086 0.059 0.085 0.130 0.121 0.110 0.076 0.051 0.232 6.686 8.257 5.756 20.093 35.762 27.669 25.633 38.656 48.916 32.840 26.586 21.308 6.255 6.686 3.790 2.057 1.203 1.070 0.972 0.501 0.345 0.404 0.550 0.700 0.663 0.478 0.894 3.790 3.080 1.458 0.987 0.556 0.302 0.201 0.162 0.135 0.141 0.231 0.194 0.254 0.739 3.080 10% 3.763 1.908 1.211 0.965 0.710 0.420 0.305 0.330 0.431 0.524 0.553 0.452 0.964 0.731 25% 3.622 1.822 1.171 0.871 0.605 0.368 0.270 0.278 0.353 0.450 0.487 0.406 0.892 0.664 75% 3.310 1.629 1.084 0.663 0.370 0.252 0.190 0.163 0.178 0.287 0.339 0.304 0.731 0.516 90% 3.169 1.543 1.044 0.570 0.264 0.200 0.154 0.111 0.099 0.213 0.272 0.258 0.658 0.449 FUENTE : AFOROS PMI Mínimo REGISTRO DE CAUDALES MENSUALES AFORADOS REGISTRO HISTÓRICO COMPLETADO (m³/s) Captación Mantoreal Departamento Provincia Distrito N° Datos Media Desv. Estandar Coef. Variacion Máximo 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 96 97 98 99 00 01 02 03 04 05 06 07 08 CAUDAL (m³/s) MESES (PERIODO 1996-2018) HISTOGRAMA 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC CAUDAL (m³/s) MESES CURVAS DE VARIACIÓN ESTACIONAL Media Máximo Mínimo 10% 25% 75% 90% 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN CAUDAL (m³/s) MESES CURVA DE DISTRIBUCIÓN Media Máximo Mínimo 10% 25% 75% 90%
  • 17. COMPARACIÓN DE CAUDALES MENSUALES CAUDALES ASUMIDOS PARA DISEÑO (m³/s) Estacion : Latitud : 12º39'23.98" S : Cusco Longitud : 72º07'30.96" W : La Convención Altitud : 887.00 msnm : Echarati Cuadro N° 17 REGISTRO CAUDAL ENE FEB MAR ABR MAY JUN JUL* AGO** SET* OCT NOV DIC MEDIA ANUAL QMÁX QMIN HISTÓRICO Q(Histórico-Aforado) 0.764 0.537 0.328 0.235 0.230 0.268 0.373 0.428 0.365 0.392 0.764 0.230 Q(75% Histórico-Aforado) 0.565 0.390 0.272 0.199 0.164 0.172 0.241 0.205 0.276 0.565 0.164 HISTÓRICO Q(Histórico-Completado) 3.466 1.726 1.127 0.767 0.487 0.310 0.230 0.221 0.265 0.368 0.413 0.355 0.811 3.466 0.221 Q(75% Histórico-Completado) 3.310 1.629 1.084 0.663 0.370 0.252 0.190 0.163 0.178 0.287 0.339 0.304 0.731 3.310 0.163 GENERADO Q(Generado) 3.469 1.695 1.122 0.759 0.487 0.326 0.217 0.238 0.259 0.380 0.437 0.371 0.813 3.469 0.217 Q(75% Generado) 3.296 1.617 1.059 0.658 0.433 0.183 0.183 0.191 0.237 0.338 0.374 0.310 0.740 3.296 0.183 ASUMIDO Q(Medio Asumido) 3.469 1.695 1.122 0.759 0.487 0.326 0.217 0.238 0.259 0.380 0.437 0.371 0.813 3.469 0.217 Q(75% Asumido) 3.296 1.617 1.059 0.565 0.370 0.252 0.190 0.163 0.172 0.241 0.205 0.304 0.703 3.296 0.163 MES CRÍTICO Q(Crítico) 0.190 0.163 0.172 0.175 0.190 0.163 QAFORADO = caudal medio aforado de los registros históricos con los que se cuenta Q COMPLETADO = caudal medio del registro histórico completado Q GENERADO = caudal medio del registro generado Q 75% = caudal al 75% de probabilidad del registro generado Captación Cuenca Mantoreal Departamento Provincia Distrito 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 ENE FEB MAR ABR MAY JUN JUL* AGO** SET* OCT NOV DIC Comparación de Caudales Históricos, Completados y Generados (m³/s ) Q(Histórico-Aforado) Q(75% Histórico-Aforado) Q(Histórico-Completado) Q(75% Histórico-Completado) Q(Generado) Q(75% Generado) Q(Medio Asumido) Q(75% Asumido) 3.296 1.617 1.059 0.565 0.370 0.252 0.190 0.163 0.172 0.241 0.205 0.304 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 ENE FEB MAR ABR MAY JUN JUL* AGO** SET* OCT NOV DIC Caudales Asumidos (m³/s ) Q(Medio Asumido) Q(75% Asumido)
  • 18. DETERMINACION DEL COEFICIENTE DE ESCORRENTIA C CUENCA DEL RÍO MANTOREAL Mes # Días P75% (mm) A (m²) V (m³) t (s) Qp (m³ / s) Qg75% (m³ / s) Q infil. C Ene 31 223.91 31,747,085 7,108,341 2,678,400 2.654 Feb 28 213.99 31,747,085 6,793,697 2,419,200 2.808 1.617 1.192 0.58 Mar 31 199.95 31,747,085 6,347,741 2,678,400 2.370 1.059 1.311 0.45 Abr 30 98.24 31,747,085 3,118,952 2,592,000 1.203 0.565 0.638 0.47 May 31 35.65 31,747,085 1,131,785 2,678,400 0.423 0.370 0.053 0.87 Jun 30 5.58 31,747,085 177,296 2,592,000 0.068 Jul 31 20.15 31,747,085 639,742 2,678,400 0.239 0.190 0.049 0.80 Ago 31 21.22 31,747,085 673,741 2,678,400 0.252 0.163 0.089 0.65 Set 30 49.18 31,747,085 1,561,185 2,592,000 0.602 0.172 0.431 0.29 Oct 31 110.72 31,747,085 3,515,176 2,678,400 1.312 0.241 1.072 0.18 Nov 30 98.56 31,747,085 3,129,009 2,592,000 1.207 0.205 1.003 0.17 Dic 31 179.88 31,747,085 5,710,529 2,678,400 2.132 0.304 1.828 0.14 Coeficiente de Escorrentia Promedio: Cp = 0.46 Coeficiente de Escorrentia Ponderado: Cp = 0.50 Coeficiente de Escorrentia Adoptado: Ca = 0.46 Cuadro N° 18 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Ene Feb Mar Abr May Jun Jul Ago Set Oct Nov Dic Cp Ca
  • 19. CUENCA DEL RÍO MANTOREAL Cuadro N° 19 CAUDAL ANCHO CAUDAL PENDIENTE DIAMETRO GASTO Q B UNITARIO I D40 QS m3/seg m lit/seg/m m/m mm Kg/seg 1 Jul 0.217 5.500 39.496 0.022 0.010 2 Ago 0.238 5.500 43.281 0.022 0.010 3 Set 0.259 5.500 47.109 0.022 0.010 4 Oct 0.380 5.500 69.003 0.022 0.010 5 Nov 0.437 5.500 79.390 0.022 0.010 6 Dic 0.371 5.500 67.419 0.022 0.010 7 Ene 3.469 5.500 630.794 0.022 0.010 2.891 8 Feb 1.695 5.500 308.242 0.022 0.010 0.188 9 Mar 1.122 5.500 203.944 0.022 0.010 10 Abr 0.759 5.500 138.033 0.022 0.010 11 May 0.487 5.500 88.475 0.022 0.010 12 Jun 0.326 5.500 59.209 0.022 0.010 9.759 66.000 1,774.394 0.269 0.122 3.079 12 12 12 12 12 2 0.813 5.500 213.832 0.022 0.010 1.539 0.944 171.566 1.912 GASTO SOLIDO ANUAL - RÍO MANTOREAL (TM/año) 7,981 QS = CAUDAL SOLIDO kg/seg B = ANCHO MEDIO DEL CAUCE m q = CAUDAL POR UNIDAD DE ANCHO m3 /seg/m D40 = DIAMETRO CRITICO DE LOS GRANULOS m I = PENDIENTE DEL CAUCE m/m n Promedio Desviacion ANALISIS DE GASTO SOLIDO FORMULA SCHOKLITSCH - GILBERT- GEHRIG QS = 2,500 x I3/2 x [ q - 0.60 x B x dm 3/2 x I- 7/6 ] Nº MES Suma
  • 20. VARIABLES CLIMATICAS VARIABLES UNIDAD JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN TOTAL PROMEDIO 31 31 30 31 30 31 31 28 31 30 31 30 CUENCAS 1. Cuenca Mantoreal PRECIPITACION MEDIA MENSUAL P mm 37.19 39.90 72.05 147.40 153.21 228.19 279.25 261.72 261.26 138.91 57.24 30.67 1,706.98 142.25 DESVIACION ESTANDAR S mm 25.24 27.67 33.88 54.34 80.96 71.57 81.99 70.71 90.83 60.25 31.99 37.16 666.59 55.55 PRECIP.AL 75 % PERSISTENCIA P75 mm 20.16 21.24 49.19 110.75 98.60 179.91 223.95 214.03 199.99 98.27 35.67 5.60 1,257.37 104.78 P.EFECTIVA AL 75 % PERSISTENCIA PE75 mm 19.16 20.17 45.54 88.40 81.87 105.52 107.72 107.22 106.52 81.66 33.37 5.32 802.46 66.87 TEMPERATURA MEDIA MENSUAL TMED Cº 14.88 15.67 16.34 17.09 17.21 16.73 16.55 16.58 16.57 16.42 15.85 16.03 195.93 16.33 TEMPERATURA MAXIMA MEDIA MENSUAL TMAX Cº 22.60 23.21 23.19 23.38 23.22 22.19 21.70 21.76 22.00 22.38 22.67 22.69 270.99 22.58 TEMPERATURA MINIMA MEDIA MENSUAL TMIN Cº 7.15 8.16 9.58 10.78 11.19 11.38 11.45 11.51 11.21 10.50 9.06 7.73 119.69 9.97 HORAS DE SOL (HORAS Y DECIMOS SOL) MENSUAL n hr 186.32 181.83 152.70 143.98 134.14 108.55 107.96 99.02 120.75 142.82 172.31 175.39 1,725.77 143.81 EVAPORACIÓN MEDIA MENSUAL e mm 104.66 108.77 104.51 109.45 100.22 88.91 80.09 80.05 68.69 71.63 81.97 93.12 1,092.06 91.01 HUMEDAD RELATIVA MEDIA MENSUAL H.R. % 79.58 80.23 79.31 83.77 84.69 86.85 89.58 89.69 87.85 86.62 83.93 79.83 1,011.93 84.33 VELOCIDAD DEL VIENTO MEDIA MENSUAL Vv m/s 1.78 1.75 1.59 1.68 1.51 1.60 1.64 1.65 1.96 1.76 1.79 1.81 20.51 1.71 SISTEMAS DE RIEGO 2. Área de Cultivos PRECIPITACION MEDIA MENSUAL P mm 20.93 22.08 40.25 84.49 85.71 127.37 154.55 144.25 144.37 76.72 31.91 17.08 949.70 79.14 DESVIACION ESTANDAR S mm 14.01 14.58 18.46 30.03 40.61 39.65 41.19 34.89 47.13 31.23 17.08 20.15 348.99 29.08 PRECIP.AL 75 % PERSISTENCIA P75 mm 11.48 12.25 27.80 64.23 58.32 100.63 126.77 120.72 112.58 55.65 20.39 3.49 714.31 59.53 P.EFECTIVA AL 75 % PERSISTENCIA PE75 mm 10.91 11.64 26.29 57.74 53.00 83.19 96.41 93.38 89.31 50.87 19.37 3.32 595.41 49.62 TEMPERATURA MEDIA MENSUAL TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63 TEMPERATURA MAXIMA MEDIA MENSUAL TMAX Cº 31.82 32.48 33.00 32.98 32.57 31.37 30.81 30.67 31.11 31.52 31.66 31.86 381.86 31.82 TEMPERATURA MINIMA MEDIA MENSUAL TMIN Cº 17.90 18.53 19.06 20.22 20.52 20.31 20.26 20.24 20.04 19.98 19.52 18.64 235.24 19.60 HORAS DE SOL (HORAS Y DECIMOS SOL) MENSUAL n hr 186.32 181.83 152.70 143.98 134.14 108.55 107.96 99.02 120.75 142.82 172.31 175.39 1,725.77 143.81 EVAPORACIÓN MEDIA MENSUAL e mm 104.66 108.77 104.51 109.45 100.22 88.91 80.09 80.05 68.69 71.63 81.97 93.12 1,092.06 91.01 HUMEDAD RELATIVA MEDIA MENSUAL H.R. % 71.94 68.29 69.47 74.27 75.64 80.33 81.69 82.50 81.56 81.06 78.33 74.50 919.57 76.63 VELOCIDAD DEL VIENTO MEDIA MENSUAL Vv m/s 2.00 2.24 2.01 2.07 1.91 1.90 1.63 1.55 1.64 1.64 1.74 1.98 22.30 1.86 Cuadro N° 20 MESES DEL AÑO PROMEDIO
  • 21. EVAPOTRANSPIRACIÓN POTENCIAL - ÁREA DE CULTIVOS MÉTODO / VARIABLES UNIDAD JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN TOTAL PROMEDIO 31 31 30 31 30 31 31 28 31 30 31 30 E.T.P. - THORNTHWAITE Etp mm 104.81 116.36 124.28 143.61 142.27 132.53 127.65 111.37 122.89 118.03 116.68 101.33 1,461.83 121.82 Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63 Índice Térmico Mensual i 11.32 11.75 12.12 12.56 12.54 11.91 11.76 11.68 11.81 11.93 11.82 11.33 142.53 11.88 E.T.P. Sin Corregir e mm 107.85 117.28 125.84 136.50 135.83 120.83 117.37 115.63 118.51 121.37 118.85 108.07 1,443.93 120.33 Factor de Corrección por Duración Media de Horas Sol f 0.98 1.00 1.00 1.07 1.06 1.11 1.10 0.98 1.05 0.98 0.99 0.95 12.28 1.02 Altura de la Estación en Estudio Z m.s.n.m. 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 Factor de Correccion por Altura F.C.A. 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 11.85 0.99 Evapotranspiración Potencial Mensual Etp mm 104.81 116.36 124.28 143.61 142.27 132.53 127.65 111.37 122.89 118.03 116.68 101.33 1,461.83 121.82 E.T.P. - HARGREAVES III - MODIFICADO Etp mm 120.53 131.88 132.69 141.05 137.52 123.00 123.52 111.22 123.87 122.17 122.53 111.69 1,501.68 125.14 Altura de la Estación en Estudio Z m.s.n.m. 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 Factor de Correccion por Altura F.C.A. 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.05 12.57 1.05 Radiacion Extra-Terrestre Ra mm 367.94 406.15 439.04 489.80 492.98 511.50 515.62 457.32 476.38 417.05 383.44 344.07 5,301.29 441.77 Horas Teoricas de Fuerte Insolacion N hr 354.66 362.51 360.00 384.59 381.19 398.64 395.54 350.17 376.75 354.00 356.31 340.22 4,414.57 367.88 Horas De Sol (Horas Y Decimos Sol) Mensual n hr 186.32 181.83 152.70 143.98 134.14 108.55 107.96 99.02 120.75 142.82 172.31 175.39 1,725.77 143.81 Radiacion Solar Media R.S.M. 200.01 215.74 214.45 224.77 219.33 200.19 202.04 182.39 202.27 198.68 199.99 185.28 2,445.13 203.76 Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63 Evapotranspiración Potencial Mensual Etp mm 120.53 131.88 132.69 141.05 137.52 123.00 123.52 111.22 123.87 122.17 122.53 111.69 1,501.68 125.14 E.T.P. - HARGREAVES Etp mm 91.94 109.48 117.58 122.18 119.53 109.15 105.63 91.34 98.09 87.41 85.63 81.98 1,219.95 101.66 Radiacion Extra-Terrestre Ra mm 367.94 406.15 439.04 489.80 492.98 511.50 515.62 457.32 476.38 417.05 383.44 344.07 5,301.29 441.77 Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63 Humedad Relativa Media Mensual H.R. % 71.94 68.29 69.47 74.27 75.64 80.33 81.69 82.50 81.56 81.06 78.33 74.50 919.57 76.63 Altura de la Estación en Estudio Z m.s.n.m. 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 790.00 9,480.00 790.00 Evapotranspiración Potencial Mensual Etp mm 91.94 109.48 117.58 122.18 119.53 109.15 105.63 91.34 98.09 87.41 85.63 81.98 1,219.95 101.66 E.T.P. - TURC Etp mm 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51 1,190.05 99.17 Horas De Sol (Horas Y Decimos Sol) Mensual n hr 6.01 5.87 5.09 4.64 4.47 3.50 3.48 3.54 3.90 4.76 5.56 5.85 56.66 4.72 Horas Teoricas de Fuerte Insolacion N hr 11.44 11.69 12.00 12.41 12.71 12.86 12.76 12.51 12.15 11.80 11.49 11.34 145.16 12.10 Relación n/N 0.53 0.5 0.42 0.37 0.35 0.27 0.27 0.28 0.32 0.4 0.48 0.52 4.71 0.39 Coeficiente (a) en función de (n/N) - de Gráfico a 0.29 0.28 0.24 0.20 0.18 0.09 0.09 0.10 0.14 0.23 0.28 0.29 2.41 0.20 Coeficiente (b) en función de (n/N) - de Gráfico b 0.43 0.44 0.48 0.53 0.57 0.80 0.80 0.77 0.64 0.50 0.45 0.43 6.82 0.57 Radiacion Extra-Terrestre Ra mm 11.87 13.10 14.63 15.80 16.43 16.50 16.63 16.33 15.37 13.90 12.37 11.47 174.41 14.53 Radiación Total Entrante Rg mm 6.19 6.59 6.49 6.24 6.13 5.07 5.12 5.16 5.32 5.93 6.06 5.91 70.21 5.85 Radiación Total Entrante Rg cal/cm²/día 365.10 388.82 382.66 368.41 361.73 299.42 301.83 304.40 313.89 350.06 357.30 348.92 4,142.54 345.21 Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63 K 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.37 0.40 0.40 0.40 0.40 4.77 0.40 Humedad Relativa Media Mensual HR % 71.94 68.29 69.47 74.27 75.64 80.33 81.69 82.50 81.56 81.06 78.33 74.50 919.57 76.63 Evapotranspiración Potencial Mensual Etp mm 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51 1,190.05 99.17 E.T.P. - PENMAN - MONTEITH Etp mm 106.72 116.66 118.74 127.46 125.48 118.96 119.56 106.93 115.96 109.98 108.27 98.96 1,373.68 114.47 Horas De Sol (Horas Y Decimos Sol) Mensual n hr 186.32 181.83 152.70 143.98 134.14 108.55 107.96 99.02 120.75 142.82 172.31 175.39 1,725.77 143.81 Horas Teoricas de Fuerte Insolacion N hr 354.66 362.51 360.00 384.59 381.19 398.64 395.54 350.17 376.75 354.00 356.31 340.22 4,414.57 367.88 Relación n/N 0.53 0.50 0.42 0.37 0.35 0.27 0.27 0.28 0.32 0.40 0.48 0.52 4.73 0.39 Radiacion Extra-Terrestre Ra mm 367.94 406.15 439.04 489.80 492.98 511.50 515.62 457.32 476.38 417.05 383.44 344.07 5,301.29 441.77 Temperatura Media Mensual TMED Cº 24.84 25.45 25.98 26.60 26.57 25.68 25.46 25.35 25.53 25.71 25.55 24.86 307.58 25.63 Humedad Relativa Media Mensual HR % 71.94 68.29 69.47 74.27 75.64 80.33 81.69 82.50 81.56 81.06 78.33 74.50 919.57 76.63 Radiación del Cuerpo Negro - de Tabla GTk4 mm 15.77 15.89 16.01 16.15 16.14 15.96 15.92 15.90 15.93 15.97 15.93 15.78 191.36 15.95 Factor - de Tabla D/g * Po/P 3.12 3.22 3.31 3.42 3.41 3.26 3.22 3.21 3.24 3.27 3.24 3.12 39.05 3.25 Presión de Vapor Saturante - de Tabla ea milibares 32.75 33.90 34.98 36.39 36.34 34.58 34.17 33.97 34.32 34.66 34.29 32.83 413.19 34.43 ed milibares 23.56 23.15 24.30 27.03 27.49 27.78 27.92 28.02 27.99 28.10 26.86 24.46 316.66 26.39 Velocidad Del Viento Media Mensual Vv m/s 2.00 2.24 2.01 2.07 1.91 1.90 1.63 1.55 1.64 1.64 1.74 1.98 22.30 1.86 Evapotranspiración Potencial Mensual Etp mm 106.72 116.66 118.74 127.46 125.48 118.96 119.56 106.93 115.96 109.98 108.27 98.96 1,373.68 114.47 E.T.P. - PROMEDIO MÁXIMOS Etp mm 112.67 124.12 128.49 142.33 139.90 127.77 125.59 111.30 123.38 120.10 119.61 106.51 1,481.75 123.48 E.T.P. - PROMEDIO TOTAL Etp mm 105.51 116.97 120.60 128.27 126.01 114.37 112.98 100.65 110.50 107.73 107.15 98.69 1,349.44 112.45 E.T.P. - PROMEDIO MÍNIMOS Etp mm 100.73 112.19 115.35 118.89 116.76 105.44 104.58 93.55 101.91 99.48 98.85 93.48 1,261.23 105.10 E.T.P. - ASUMIDO Etp mm 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51 1,190.05 99.17 DATE & HOUR OF PROCESS : 02/08/2019 Cuadro N° 21 MESES DEL AÑO PROMEDIO
  • 22. 21.2 Page 22 JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN THORNTHWAITE 104.81 116.36 124.28 143.61 142.27 132.53 127.65 111.37 122.89 118.03 116.68 101.33 HARGREAVES III - MODIFICADO 120.53 131.88 132.69 141.05 137.52 123.00 123.52 111.22 123.87 122.17 122.53 111.69 HARGREAVES 91.94 109.48 117.58 122.18 119.53 109.15 105.63 91.34 98.09 87.41 85.63 81.98 TURC 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51 PENMAN - MONTEITH 106.72 116.66 118.74 127.46 125.48 118.96 119.56 106.93 115.96 109.98 108.27 98.96 PROMEDIO MÁXIMOS 112.67 124.12 128.49 142.33 139.90 127.77 125.59 111.30 123.38 120.10 119.61 106.51 PROMEDIO TOTAL 105.51 116.97 120.60 128.27 126.01 114.37 112.98 100.65 110.50 107.73 107.15 98.69 PROMEDIO MÍNIMOS 100.73 112.19 115.35 118.89 116.76 105.44 104.58 93.55 101.91 99.48 98.85 93.48 ASUMIDO 103.53 110.44 109.72 107.02 105.26 88.23 88.56 82.38 91.69 101.06 102.66 99.51 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 160.00 ETP ( mm ) Mes EVAPOTRANSPIRACIÓN POTENCIAL THORNTHWAITE HARGREAVES III - MODIFICADO HARGREAVES TURC PENMAN - MONTEITH PROMEDIO MÁXIMOS PROMEDIO TOTAL PROMEDIO MÍNIMOS ASUMIDO
  • 23. Estacion : QUILLABAMBA Latitud : 12º51'21'' S : Cusco Tipo : CP-606 Longitud : 72º41'30'' W : La Convención Altitud : 990.00 msnm : Santa Ana N° REGISTRO AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL PMAXANUAL 1 1963 2 1964 0.00 0.00 8.00 15.50 20.50 36.00 80.00 36.00 3 1965 19.00 31.00 41.00 36.00 2.00 1.00 21.80 10.40 37.00 24.20 15.90 28.00 267.30 41.00 4 1966 18.00 35.50 14.50 12.50 26.20 5.50 7.20 8.00 21.00 22.80 38.00 17.70 226.90 38.00 5 1967 17.00 30.00 25.00 12.20 7.20 8.00 18.00 8.90 15.00 18.20 17.50 25.30 202.30 30.00 6 1968 38.70 19.60 35.00 31.20 4.70 1.60 17.00 12.90 9.90 13.50 17.70 36.70 238.50 38.70 7 1969 19.90 20.80 26.50 22.30 11.00 30.00 6.50 5.90 7.50 12.50 35.00 22.20 220.10 35.00 8 1970 34.80 11.60 40.20 29.50 26.80 9.40 7.20 5.20 15.00 22.00 12.80 29.50 244.00 40.20 9 1971 15.00 42.50 22.00 24.30 15.50 29.70 1.50 3.70 15.00 8.80 17.70 17.20 212.90 42.50 10 1972 32.00 16.40 35.40 16.60 13.70 3.00 5.40 25.20 8.80 7.00 25.50 42.70 231.70 42.70 11 1973 28.60 33.40 19.50 26.20 12.90 8.00 20.00 24.80 14.30 34.00 35.70 30.80 288.20 35.70 12 1974 30.60 28.20 25.90 26.60 4.00 5.50 20.80 24.50 17.70 13.00 18.00 22.00 236.80 30.60 13 1975 42.20 32.50 39.80 33.00 14.50 7.50 9.00 16.50 14.20 16.50 42.40 32.60 300.70 42.40 14 1976 35.00 33.50 26.50 21.50 10.90 4.00 2.90 27.30 33.00 15.20 11.50 29.80 251.10 35.00 15 1977 31.00 40.20 21.90 9.30 35.60 1.40 18.00 1.20 21.10 8.50 19.80 28.30 236.30 40.20 16 1978 35.80 21.00 21.20 15.80 60.20 7.50 0.00 0.00 0.00 36.40 14.50 44.80 257.20 60.20 17 1979 30.60 20.70 18.80 16.20 11.40 0.00 10.50 1.30 2.80 11.20 31.20 33.40 188.10 33.40 18 1980 19.80 32.10 27.20 38.10 17.00 7.00 23.50 12.30 16.00 16.30 20.00 23.30 252.60 38.10 19 1981 27.20 39.50 39.50 27.50 10.50 144.20 39.50 20 1982 21 1983 22 1984 23 1985 24 1986 0.00 0.00 0.00 0.00 58.00 41.80 99.80 58.00 25 1987 132.50 62.00 48.80 89.10 11.20 28.50 4.20 0.00 21.00 30.00 100.00 60.00 587.30 132.50 26 1988 46.00 82.20 77.00 41.20 25.00 0.00 0.00 0.00 22.40 29.20 37.40 360.40 82.20 27 1989 30.40 21.00 18.00 0.00 21.50 24.80 27.80 18.40 20.80 50.70 233.40 50.70 28 1990 78.40 63.10 45.20 60.70 68.00 8.20 25.30 32.50 56.80 39.80 40.80 518.80 78.40 29 1991 48.10 52.50 47.20 48.90 21.30 218.00 52.50 30 1992 23.30 22.10 28.10 31.10 104.60 31.10 31 1993 32 1994 33 1995 34 1996 22.00 21.00 18.00 15.40 21.00 2.50 6.10 16.70 17.80 17.50 17.00 20.50 195.50 22.00 35 1997 30.70 40.20 20.20 17.20 11.00 16.80 3.00 29.50 20.00 32.40 32.00 20.90 273.90 40.20 36 1998 39.40 24.50 38.40 19.20 4.20 4.80 0.00 1.00 63.80 24.80 12.00 34.30 266.40 63.80 37 1999 27.50 59.00 46.40 49.50 26.50 6.40 6.60 0.00 13.70 26.50 20.50 25.90 308.50 59.00 38 2000 57.90 44.70 20.00 15.50 7.60 15.80 0.60 14.20 17.00 25.30 13.10 20.00 251.70 57.90 39 2001 44.70 44.30 30.30 14.00 10.60 2.20 15.00 9.50 11.20 33.20 16.50 231.50 44.70 40 2002 21.80 54.50 47.10 10.30 9.20 5.50 12.90 23.10 8.00 25.30 25.20 57.10 300.00 57.10 41 2003 46.20 36.00 30.00 24.60 5.60 3.40 5.00 27.50 22.30 20.40 22.30 27.00 270.30 46.20 42 2004 21.20 31.00 21.80 18.40 6.60 38.10 14.50 14.00 19.20 28.90 20.00 233.70 38.10 43 2005 29.40 28.30 28.20 26.20 24.60 6.90 20.30 5.20 15.70 18.50 8.10 40.60 252.00 40.60 44 2006 49.00 23.40 43.60 39.20 4.20 8.20 4.50 14.80 5.90 18.80 25.90 26.90 264.40 49.00 45 2007 52.60 18.90 20.30 31.50 17.30 10.20 7.10 5.50 38.00 32.30 19.70 253.40 52.60 46 2008 53.10 22.80 15.60 34.00 7.90 0.60 10.80 19.20 18.50 24.20 16.20 27.80 250.70 53.10 47 2009 38.20 28.00 9.80 6.50 2.30 7.80 4.00 5.00 33.20 54.00 25.20 214.00 54.00 48 2010 18.40 83.80 36.80 26.80 7.60 9.40 9.00 13.40 22.20 54.60 25.40 26.60 334.00 83.80 49 2011 24.20 34.60 30.40 28.00 15.20 12.00 12.40 26.80 7.80 49.00 34.00 31.00 305.40 49.00 50 2012 30.40 21.40 26.80 10.40 10.20 16.20 12.40 12.40 38.80 179.00 38.80 51 2013 20.60 34.60 30.20 38.00 7.60 10.00 34.00 26.40 31.40 31.20 34.20 298.20 38.00 52 2014 39.40 46.00 42.00 14.80 22.40 0.00 17.60 4.60 16.00 19.00 29.00 30.60 281.40 46.00 53 2015 31.80 32.00 27.80 16.00 12.80 10.50 130.90 32.00 54 2016 55 2017 56 2018 41 41 43 41 41 40 40 40 39 40 40 42 45 45 35.70 36.30 31.47 26.51 15.84 8.99 10.26 13.01 16.82 22.97 27.34 30.85 251.02 47.79 20.40 16.35 11.98 14.39 12.73 12.21 8.45 10.10 11.52 12.13 16.29 10.33 88.21 18.56 57.14 45.04 38.06 54.30 80.36 135.75 82.35 77.60 68.52 52.81 59.57 33.48 35.14 38.83 132.50 83.80 77.00 89.10 60.70 68.00 38.10 34.00 63.80 56.80 100.00 60.00 587.30 132.50 15.00 11.60 14.50 9.30 2.00 0.00 0.00 0.00 0.00 0.00 8.10 16.50 80.00 22.00 Prec. 10% 61.85 57.26 46.82 44.96 32.17 24.64 21.08 25.95 31.59 38.52 48.23 44.10 39.76 37.92 Prec. 25% 49.47 47.33 39.55 36.23 24.44 17.23 15.96 19.82 24.60 31.15 38.34 37.83 31.83 30.36 Prec. 75% 21.93 25.26 23.38 16.79 7.25 0.75 4.55 6.20 9.04 14.78 16.35 23.88 14.18 13.54 Prec. 90% 9.55 15.34 16.11 8.06 -0.48 -6.66 -0.57 0.07 2.05 7.42 6.46 17.61 6.25 5.97 FUENTE : SENAMHI Distrito REGISTRO DE PRECIPITACION MAXIMA EN 24 hr REGISTROS HISTÓRICOS (mm) Departamento Provincia P. maxima 24 hr Min. Cuadro N° 22 N° Datos Media Desv. Estandar Coef. Variacion P. maxima 24 hr Max. 0 20 40 60 80 100 120 140 160 180 200 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 PRECIPITACION (mm) MESES (PERIODO 1963 - 2015) HISTOGRAMA 0 20 40 60 80 100 120 140 160 180 200 ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC PRECIPITACION (mm) MESES CURVAS DE VARIACIÓN ESTACIONAL Media P. maxima 24 hr Max. P. maxima 24 hr Min. Prec. 10% Prec. 25% Prec. 75% Prec. 90%
  • 24. PERIODO DE RETORNO (Tr) Y PROBABILIDAD DE OCURRENCIA (P) - VIDA ÚTIL (n) Y RIESGO DE FALLA (R) Cuadro N° 23 PERIODO DE RETORNO (Tr) Y PROBABILIDAD DE OCURRENCIA (P) VIDA ÚTIL (n) Y RIESGO DE FALLA ('R) - (Tr = n) VIDA ÚTIL (n) Y RIESGO DE FALLA ('R) - (R = P) VIDA ÚTIL (n) Y RIESGO DE FALLA ('R) - (R = ASUMIDO) N° PERIODO DE RETORNO PROBABILIDAD DE OCURRENCIA PROBABILIDAD DE NO OCURRENCIA VIDA ÚTIL RIESGO DE FALLA (Tr = n) PERIODO DE RETORNO CALCULADO VIDA ÚTIL RIESGO DE FALLA (R = P) PERIODO DE RETORNO CALCULADO VIDA ÚTIL RIESGO DE FALLA (R = ASUMIDO) PERIODO DE RETORNO CALCULADO TIPO DE Tr P (X >= x) = 1 / T P (X < x) = 1 - 1/T n R Tr n R Tr n R Tr INFRAESTRUCTURA años años % años años % años años % años 1 0.003 365 -364 0.003 0.003 0.003 2 0.083 12 -11 0.083 0.083 0.083 3 1 1 0 1 100.00% 1 1 100.00% 1 1 25.00% 4 4 2 0.5 0.5 2 75.00% 2 2 50.00% 3 2 25.00% 7 5 4 0.25 0.75 4 68.36% 4 4 25.00% 14 4 25.00% 14 6 5 0.2 0.8 5 67.23% 5 5 20.00% 23 5 25.00% 18 7 8 0.125 0.875 8 65.64% 8 8 12.50% 60 8 25.00% 28 8 10 0.1 0.9 10 65.13% 10 10 10.00% 95 10 22.00% 41 Acueductos, pases aéreos, canales 9 20 0.05 0.95 20 64.15% 20 20 5.00% 390 20 22.00% 81 Acueductos, pases aéreos, canales 10 25 0.04 0.96 25 63.96% 25 25 4.00% 613 25 22.00% 101 Acueductos, pases aéreos, canales 11 40 0.025 0.975 40 63.68% 40 40 2.50% 1,580 40 22.00% 161 12 50 0.02 0.98 50 63.58% 50 50 2.00% 2,475 50 22.00% 202 Presas derivadoras (bocatomas) 13 80 0.0125 0.9875 80 63.44% 80 80 1.25% 6,360 80 22.00% 322 Presas derivadoras (bocatomas) 14 100 0.01 0.99 100 63.40% 100 100 1.00% 9,950 100 22.00% 403 Presas derivadoras (bocatomas) 15 200 0.005 0.995 200 63.30% 200 200 0.50% 39,900 200 25.00% 696 16 250 0.004 0.996 250 63.29% 250 250 0.40% 62,375 250 25.00% 870 17 400 0.0025 0.9975 400 63.26% 400 400 0.25% 159,800 400 25.00% 1,391 18 500 0.002 0.998 500 63.25% 500 500 0.20% 249,750 500 25.00% 1,739 19 1000 0.001 0.999 1000 63.23% 1,000 1000 0.10% 999,500 1000 25.00% 3,477 20 2000 0.0005 0.9995 2000 63.22% 2,000 2000 0.05% 3,999,000 2000 25.00% 6,953 21 5000 0.0002 0.9998 5000 63.22% 5,000 5000 0.02% 24,997,500 5000 25.00% 17,381 22 10000 0.0001 0.9999 10000 63.21% 10,000 10000 0.01% 99,995,000 10000 25.00% 34,761
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