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GENERACION DE DESCARGAS PARA EN EL RIO MUYLO-MICROCUENCA MUYLO
METODO PROPUESTO POR LA MISION TECNICA ALEMANA - 1980
Cuadro N° 6.1: Precipitación Efectivasegún el Bureao of Reclamation
P P. Efectiva: PE (mm)mm Curva I Curva II Curva III
0.0 0.0 0.0 0.0
10.0 0.0 1.0 2.0
20.0 0.0 2.0 4.0
30.0 0.0 3.0 6.0
40.0 0.5 4.0 8.0
50.0 1.0 6.0 11.0
60.0 1.5 8.0 14.0
70.0 3.0 10.0 18.0
80.0 4.0 14.0 24.0
90.0 5.5 18.0 30.0
100.0 8.0 23.0 39.0
110.0 11.0 29.0 48.0
120.0 15.0 36.0 58.0
130.0 19.0 43.0 68.0
140.0 24.0 52.0 78.0
150.0 30.0 60.0 88.0
160.0 37.0 69.0 98.0
170.0 45.0 79.0 108.0
180.0 55.0 89.0 118.0
Cuadro N° 6.2: Cálculo del Coeficiente de Escorrentía
Método de la Misión Alemana Método de L - Turc
Precipitación Media Anual: P 735.7 mm Temperatura Media Anual: T 6.4 °C
Evaporación Total Anual: ETP 1002.2 mm Coeficiente de Temperatura: L 473.1
Déficit de Escurrimiento: D 403.9 mm/año
Coeficiente de Escorrentía: C 0.63 Coeficiente de Escorrentía: C 0.45
Cuadro N° 6.4: Coeficientes deCuadro N° 6.3: Características Generales de la Microcuenca Cálculo - Precipitación Efectiva
Area de la Microcuenca: A 112.27 Km2 Coef. Curva I Curva II Curva IIIAltitud Media de la Microcuenca: H 4136 msnm -0.047000 -0.106500 -0.417700
Pendiente Media de la Microcuenca 0.38 m/m 0.009400 0.147700 0.379500
Precipitación Media Anual: P 735.7 mm -0.000500 -0.002900 -0.010100
Evaporación Total Anual: ETP 1002.2 mm 0.000020 0.000050 0.000200
Temperatura Media Anual: T 6.4 °C -5.00E-08 -2.00E-07 -9.00E-07
Déficit de Escurrimiento: D 403.9 mm/año 2.00E-10 2.00E-10 1.00E-09
Coeficiente de Escorrentía: C 0.45Coeficiente de Agotamiento: a 0.0181 El rango de aplicación de los Relación de Caudales (30 días): bo 0.581 coeficientes de la ecuación Area de lagunas y acuíferos 15 Km2 Polinómica de la PE estáGasto Mensual de Retención: R 40.1 mm/año comprendida para 0 < P < 250 mm
a0
a1
a2
a3
a4
a5
0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
Figura 6.1: Porción de Precipitación Efectiva Según Bureao Of Reclamation
Curva I Curva II Curva III
Precipitación Mensual (mm)
Pre
cip
ita
ció
n E
fec
tiv
a (
mm
)
CUADRO N° 6.5: GENERACION DE CAUDALES MEDIOS MENSUALES PARA EL AÑO PROMEDIO
PRECIPITACION MENSUAL CONTRIBUCION DE LA RETENCION CAUDALES
N° P Efectiva Gasto Abastecimiento GENERADOS
MES días del Total PE II PE III PE bi Gi ai Ai
mes mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes m3/s
1 2 3 4 5 6 7 8 9 10 11 12
Enero 30 115.5 23.8 77.2 72.4 0.000 0.0 0.219 8.8 63.6 2.76
Febrero 28 113.1 22.8 73.9 69.3 0.000 0.0 0.209 8.4 60.9 2.83
Marzo 31 92.4 15.0 47.3 44.4 0.000 0.0 0.134 5.4 39.0 1.64
Abril 30 53.1 5.5 14.5 13.7 0.581 17.5 0.041 1.7 29.6 1.28
Mayo 31 17.9 1.9 4.2 4.0 0.325 9.8 0.012 0.5 13.3 0.56
Junio 30 19.1 2.0 4.4 4.2 0.196 5.9 0.013 0.5 9.6 0.42
Julio 31 10.0 1.1 2.6 2.4 0.106 3.2 0.007 0.3 5.3 0.22
Agosto 31 21.7 2.2 4.9 4.7 0.060 1.8 0.014 0.6 5.9 0.25
Setiem. 30 45.5 4.5 11.1 10.5 0.038 1.2 0.032 1.3 10.4 0.45
Octubre 31 68.2 8.3 23.9 22.5 0.020 0.6 0.068 2.7 20.4 0.85
Noviem. 30 86.1 13.0 40.3 37.8 0.000 0.0 0.114 4.6 33.3 1.44
Diciem. 31 93.1 15.2 48.1 45.2 0.000 0.0 0.136 5.5 39.7 1.66
AÑO 735.7 115.4 352.5 331.1 1.327 40.1 1.000 40.1 331.1 1.20
Coeficientes 0.45 0.090 0.910 1.000
Fuente: Elaboración propia
CUADRO N° 6.6: CALCULO DE LOS COEFICIENTES DE CORRELACION PARA EL AÑO PROMEDIO
Qt Qt-1 PE63.6 39.7 72.4
60.9 63.6 69.3 Resultado de la regresión39.0 60.9 44.4 Constante 3.6205729.6 39.0 13.7 Error típico de est Y 3.8916513.3 29.6 4.0 R cuadrado 0.966149.6 13.3 4.2 Nº de observaciones 125.3 9.6 2.4 Grados de libertad 95.9 5.3 4.7
10.4 5.9 10.5 Coeficientes X 0.23843 0.6303420.4 10.4 22.5 Error típico del coe 0.08987 0.0712533.3 20.4 37.8
39.7 33.3 45.2
Fuente: Elaboración propia
CUADRO N° 6.7: PRECIPITACION EFECTIVA MENSUAL GENERADA (m.m) - MICROCUENCA MUYLOPERIODO: 1973 - 1999
DEPARTAMENTO: JUNIN LATITUD : 11°24' -11°33'PROVINCIA : TARMA LONGITUD : 75°45' - 75°54'DISTRITO : TARMA ALTITUD MEDIA : 4,136 msnm
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.1973 37.3 65.3 93.4 29.4 3.7 3.4 3.0 8.1 14.8 47.6 21.6 94.9 422.6
1974 66.4 62.9 41.9 16.1 0.2 4.7 0.1 7.8 4.8 10.1 14.3 16.9 246.3
1975 42.1 68.5 55.4 10.3 5.5 1.1 0.4 7.0 18.0 25.9 40.2 46.9 321.2
1976 92.3 64.3 40.5 10.0 5.4 6.2 1.8 3.9 28.0 10.6 16.2 19.2 298.4
1977 56.8 45.0 28.7 18.8 3.8 0.5 1.6 0.4 5.4 7.5 81.5 47.8 297.9
1978 65.9 75.2 32.1 12.8 2.3 1.6 2.3 1.9 20.4 27.5 34.5 26.2 302.8
1979 38.6 69.2 72.1 22.0 2.9 0.1 0.4 1.2 2.5 28.2 29.0 27.7 293.8
1980 57.0 80.7 44.1 3.0 5.4 1.6 3.0 3.7 6.9 30.3 41.7 28.9 306.5
1981 61.1 85.8 42.2 6.7 1.6 0.6 0.0 13.3 11.2 40.1 74.4 60.8 397.7
1982 82.2 97.2 37.6 15.4 0.1 4.6 0.4 3.6 18.5 43.2 45.6 62.1 410.5
1983 60.8 15.2 43.0 8.2 0.5 8.7 0.6 4.4 13.8 23.9 9.8 38.8 227.7
1984 68.6 58.0 34.3 22.4 1.4 5.5 0.3 3.2 6.8 28.5 41.8 54.7 325.5
1985 77.0 74.2 55.8 17.8 2.5 5.4 1.4 1.2 12.4 15.2 33.0 70.4 366.2
1986 85.3 90.4 77.1 41.4 5.0 0.1 2.7 8.9 17.6 16.6 15.6 30.2 390.8
1987 88.2 59.3 34.2 7.0 5.2 3.3 5.3 4.6 13.5 25.2 73.4 78.7 397.8
1988 94.6 65.5 38.7 29.0 1.7 0.0 0.2 0.0 11.0 32.8 50.8 66.6 391.0
1989 71.5 66.5 56.6 18.6 1.5 1.0 0.3 9.7 16.0 28.2 55.6 35.6 361.0
1990 122.5 28.7 21.4 14.4 7.4 19.9 2.0 9.7 17.5 59.3 60.5 44.3 407.6
1991 38.0 36.9 63.7 12.5 6.1 6.7 0.4 0.0 27.0 25.0 32.1 31.6 279.9
1992 34.5 32.7 19.9 11.1 4.2 7.1 1.3 2.2 20.3 32.8 54.2 42.8 263.1
1993 60.0 54.3 53.3 14.8 2.4 7.6 2.2 4.3 13.5 40.6 76.2 54.1 383.3
1994 66.6 75.0 41.3 34.4 4.4 0.4 0.0 2.1 13.2 21.8 23.2 57.7 340.0
1995 80.3 72.0 40.1 20.7 1.6 0.0 1.8 0.7 7.6 15.4 25.4 49.3 314.9
1996 40.0 50.8 32.7 22.6 1.9 0.0 0.0 1.3 3.8 13.6 21.6 24.6 213.0
1997 57.1 77.4 29.1 11.4 1.8 0.2 0.3 6.5 24.2 22.5 29.6 45.9 305.9
1998 72.4 52.3 31.0 12.4 1.6 0.1 0.0 0.0 0.8 24.3 35.1 31.7 261.7
1999 85.4 113.0 57.6 26.5 2.4 0.9 3.1 1.2 13.4 22.5 39.9 45.7 411.7
MAX. 122.5 113.0 93.4 41.4 7.4 19.9 5.3 13.3 28.0 59.3 81.5 94.9 422.6
MED. 66.7 64.3 45.1 17.4 3.1 3.4 1.3 4.1 13.4 26.6 39.9 45.7 331.1
MIN. 34.5 15.2 19.9 3.0 0.1 0.0 0.0 0.0 0.8 7.5 9.8 16.9 213.0
D.EST 21.0 21.3 17.2 9.0 1.9 4.3 1.3 3.6 7.2 12.0 20.2 18.7 61.4
Fuente: Elaboración propia
CUADRO N° 6.8: NUMEROS ALEATORIOS GENERADOS CON DISTRIBUCION NORMAL PERIODO: 1973 - 1999
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic.1973 -1.5966 0.0877 -2.3904 -0.7550 -0.4466 -0.5589 0.5912 -0.0289 0.2563 -1.6837 -0.9332 0.3884
1974 0.0105 -1.2520 0.2171 -0.5433 -0.3381 -0.8931 -0.0941 0.2287 1.4146 0.1854 0.4906 -2.4223
1975 1.2152 0.4687 -0.8456 0.3683 1.5782 -0.2601 -2.9578 1.1470 0.8752 0.3940 -0.0317 -0.0639
1976 0.4135 0.7820 -1.1063 -0.2680 -0.2134 0.3693 0.3989 -1.4225 -1.1822 1.2195 -0.7473 0.1751
1977 1.1343 -1.8866 2.0323 1.0444 0.9040 -0.2176 1.3658 -0.0089 0.6460 -0.1192 -0.1762 1.1980
1978 1.2940 3.3463 0.8647 1.2500 -1.1365 0.7473 -0.1073 -0.0938 -0.8834 0.9089 0.5041 0.0432
1979 -0.5380 0.7640 -2.1026 -0.4054 -0.6222 -0.0107 1.2196 0.3394 1.0837 -1.5326 -1.4284 -2.0015
1980 -0.0281 -0.0294 1.3944 1.3643 -0.0370 1.6010 -2.2418 0.3014 -0.9036 -0.8080 0.9567 1.7862
1981 2.0798 -0.5048 -0.5833 0.8015 1.6967 0.9477 2.9724 0.2772 -0.7543 1.2438 0.0612 3.3345
1982 1.5612 -0.4666 -0.5615 -0.3720 0.0536 -1.4942 1.1692 1.2333 -1.7584 -0.4950 -1.3314 2.4762
1983 1.1253 0.3445 -0.2926 2.2076 1.6588 1.8781 -1.2175 2.4458 0.2774 0.0868 -0.8268 1.6390
1984 -0.2910 1.2540 -0.3981 0.7117 0.1478 0.7956 -0.5205 0.5992 -0.5759 0.8457 -0.1815 0.3038
1985 -0.0233 0.7413 -2.4322 -0.0054 0.1338 -0.4700 1.3301 0.4522 0.3454 -0.7761 1.7475 1.0055
1986 1.0737 -0.8534 0.9921 0.6119 0.8652 0.7960 0.4671 -1.5919 0.1545 -0.2919 0.2908 -0.7297
1987 -0.1983 -0.0991 -1.4990 -0.3861 -0.2292 -1.0239 -0.0141 0.0807 -0.4402 0.9030 -0.4385 -0.4770
1988 -0.6155 0.5819 0.9618 -0.2981 0.7943 -0.8993 0.8579 2.2559 1.8038 -0.6143 1.8579 -0.7686
1989 0.3218 -0.4926 -0.1904 -1.4572 -0.6208 -0.3268 -0.1383 0.6889 0.3688 -0.0544 0.4862 -0.1924
1990 -0.5111 1.2570 -0.3120 -0.5204 -1.8799 1.6165 1.7021 -0.1901 -1.6973 0.3068 0.8003 0.6873
1991 0.2263 0.9882 -0.1751 -0.4812 0.3291 1.0280 0.1911 0.7741 0.1678 -0.1188 -1.0215 -0.4340
1992 -2.8984 0.4776 -3.2016 -0.3364 1.2483 -0.1691 1.3768 -0.4863 0.5569 -0.7975 -0.7948 -0.1910
1993 2.7165 -0.3105 0.9035 0.7106 -0.3804 1.7623 -0.3663 0.4761 0.6188 0.8545 -0.9094 1.3865
1994 0.9527 0.5397 -0.4790 -0.7509 0.0763 1.0703 -0.8323 -1.8798 -0.0859 -2.2105 -2.0135 0.3222
1995 -0.9392 -1.2930 -0.2745 -0.2154 1.6186 0.4031 -0.1998 0.8548 -0.4938 2.3731 1.4402 0.2050
1996 -1.3015 -0.8747 0.5360 0.9330 -0.0735 0.0471 0.1307 -1.3836 0.5154 0.7651 -0.6483 0.3117
1997 -0.1869 0.1235 0.6896 -0.5657 -0.8743 1.9618 -0.2437 0.6130 -0.3700 -0.0862 -1.1250 2.8090
1998 0.5839 0.5272 0.5156 -0.6806 0.9193 1.1360 1.0753 -1.3536 0.0180 0.3067 -2.0816 0.3229
1999 -0.2743 -1.4116 -0.4391 -1.9478 0.4749 0.8444 -1.7578 0.2782 -0.9800 0.5708 1.4355 1.1164
MAX. 2.717 3.346 2.032 2.208 1.697 1.962 2.972 2.446 1.804 2.373 1.858 3.335
MED. 0.197 0.104 -0.303 0.001 0.209 0.396 0.154 0.171 -0.038 0.051 -0.171 0.453
MIN. -2.898 -1.887 -3.202 -1.948 -1.880 -1.494 -2.958 -1.880 -1.758 -2.210 -2.082 -2.422
D.EST 1.180 1.063 1.243 0.916 0.909 0.967 1.267 1.049 0.886 0.994 1.092 1.296
Fuente: Elaboración propia
CUADRO N° 6.9: DESCARGAS MEDIAS MENSUALES GENERADAS (mm) - RIO MUYLOPERIODO: 1973 - 1999
DEPARTAMENTO: JUNIN LATITUD : 11°24' -11°33'PROVINCIA : TARMA LONGITUD : 75°45' - 75°54'DISTRITO : TARMA ALTITUD MEDIA : 4,136 msnm
Coeficientes de Regresión Múltiple: 3.62057 0.23843 0.63034S 3.89165 R^2 0.96614
Modelo Matemático:
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.Prom. 58.7 56.5 39.6 32.8 12.5 8.9 4.3 5.4 13.0 24.0 35.0 40.2 331.1
1973 40.0 58.3 70.2 29.5 8.6 7.5 7.0 10.0 16.2 38.2 24.9 73.3 383.7
1974 55.0 56.3 46.9 20.4 5.6 7.7 5.3 11.1 11.5 19.2 18.9 30.0 288.0
1975 44.2 60.6 49.1 15.3 9.5 6.0 3.0 11.5 18.3 24.8 33.5 40.3 315.9
1976 72.6 59.2 40.1 13.4 9.1 9.2 5.8 7.8 24.8 17.1 21.3 25.5 305.7
1977 57.6 44.7 32.7 19.4 8.9 6.0 7.0 5.7 13.4 12.3 60.0 40.7 308.4
1978 59.8 64.1 32.3 17.2 6.4 6.6 6.7 6.1 19.0 24.5 40.0 29.9 312.7
1979 41.8 63.1 55.3 21.3 6.5 5.2 6.3 6.1 10.5 26.1 30.5 26.7 299.5
1980 49.5 69.5 45.6 11.6 8.6 7.1 5.4 7.6 9.8 28.4 37.8 29.5 310.4
1981 55.4 73.9 40.6 11.2 7.9 6.3 7.0 14.0 12.5 36.6 59.6 51.4 376.4
1982 69.8 82.2 36.6 15.7 5.6 7.0 6.4 10.1 17.0 39.2 45.6 56.8 392.0
1983 59.4 33.0 39.3 14.1 6.5 12.1 4.7 10.6 16.5 28.1 20.1 42.8 287.1
1984 60.8 49.0 34.3 21.6 6.1 10.6 4.5 8.6 11.4 28.9 34.6 48.5 319.0
1985 66.6 62.6 45.2 20.0 6.7 9.2 6.5 6.8 14.4 19.5 33.9 60.3 351.8
1986 74.0 74.9 63.7 34.9 9.0 6.4 7.2 9.7 18.2 18.5 21.7 36.5 374.9
1987 76.7 58.8 39.3 16.1 8.9 6.5 8.7 8.9 16.2 24.5 54.7 61.6 380.9
1988 81.1 59.4 38.1 25.5 7.4 4.5 6.4 7.4 15.7 29.7 50.0 59.8 385.0
1989 68.2 59.3 48.3 20.4 5.9 5.1 5.2 12.0 17.7 28.4 50.9 40.1 361.6
1990 96.7 36.8 28.4 17.2 8.3 18.6 7.3 12.5 17.7 48.0 54.4 41.6 387.5
1991 50.8 36.3 50.4 15.2 9.7 13.0 5.8 7.1 25.0 30.7 36.1 33.1 313.3
1992 35.4 33.2 25.9 14.0 9.5 11.1 6.8 6.3 22.8 31.0 45.8 38.4 280.2
1993 51.8 45.5 44.0 16.8 7.1 12.3 6.4 8.2 18.0 37.2 61.9 47.8 357.2
1994 58.6 62.2 39.8 28.8 8.2 7.6 4.5 5.5 16.2 24.7 31.5 51.6 339.2
1995 67.5 62.9 38.2 23.4 7.7 5.7 5.7 6.0 11.9 20.9 28.2 47.2 325.3
1996 44.0 50.0 33.7 24.1 6.6 5.0 5.1 4.9 9.2 17.8 23.5 30.6 254.5
1997 50.0 64.4 30.5 16.1 5.7 6.3 4.8 9.3 20.8 22.0 27.1 41.9 298.9
1998 61.6 52.4 30.8 14.8 6.7 6.0 5.5 4.9 9.1 24.4 30.7 33.8 280.6
1999 71.9 86.3 47.0 22.5 7.1 6.2 5.6 5.7 13.5 24.1 37.1 41.3 368.4
MAX. 96.7 86.3 70.2 34.9 9.7 18.6 8.7 14.0 25.0 48.0 61.9 73.3 392.0MED. 60.0 57.7 41.7 19.3 7.5 8.0 5.9 8.3 15.8 26.8 37.6 43.0 331.8MIN. 35.4 33.0 25.9 11.2 5.6 4.5 3.0 4.9 9.1 12.3 18.9 25.5 254.5D.EST 14.0 13.7 10.3 5.7 1.3 3.2 1.2 2.5 4.4 8.0 13.2 12.0 40.2Fuente: Elaboración propia
b1 b2 b3
Qt = b1 + b2*Qt-1 + b3*PEt + Z*S*(1 - R^2)^0.5
CUADRO N° 6.10: DESCARGAS MEDIAS MENSUALES GENERADAS (m3/s) - RIO MUYLOPERIODO: 1973 - 1999
DEPARTAMENTO: JUNIN LATITUD : 11°24' -11°33'PROVINCIA : TARMA LONGITUD : 75°45' - 75°54'DISTRITO : TARMA ALTITUD MEDIA : 4,136 msnm
Area 112.27 Km2
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Prom.30 28 31 30 31 30 31 31 30 31 30 31 (m3/s)
1973 1.731 2.707 2.944 1.276 0.362 0.324 0.293 0.419 0.702 1.600 1.080 3.073 1.376
1974 2.384 2.613 1.967 0.885 0.234 0.336 0.221 0.464 0.498 0.805 0.820 1.258 1.040
1975 1.913 2.810 2.059 0.661 0.399 0.258 0.126 0.483 0.793 1.039 1.449 1.688 1.140
1976 3.145 2.746 1.681 0.580 0.382 0.399 0.241 0.328 1.073 0.717 0.921 1.067 1.107
1977 2.494 2.077 1.373 0.842 0.371 0.258 0.292 0.240 0.580 0.516 2.597 1.706 1.112
1978 2.590 2.974 1.353 0.746 0.267 0.286 0.279 0.258 0.824 1.029 1.734 1.253 1.133
1979 1.811 2.928 2.317 0.923 0.274 0.226 0.265 0.254 0.456 1.095 1.319 1.121 1.082
1980 2.143 3.227 1.911 0.502 0.358 0.305 0.228 0.319 0.426 1.190 1.639 1.237 1.124
1981 2.401 3.430 1.704 0.483 0.330 0.275 0.295 0.588 0.541 1.533 2.580 2.153 1.359
1982 3.022 3.815 1.534 0.680 0.235 0.303 0.268 0.424 0.737 1.643 1.975 2.380 1.418
1983 2.572 1.533 1.646 0.612 0.271 0.524 0.195 0.443 0.717 1.177 0.870 1.795 1.029
1984 2.633 2.273 1.440 0.935 0.257 0.457 0.190 0.361 0.495 1.211 1.500 2.033 1.149
1985 2.885 2.906 1.895 0.866 0.283 0.398 0.274 0.284 0.623 0.819 1.470 2.526 1.269
1986 3.206 3.477 2.671 1.512 0.377 0.279 0.302 0.407 0.790 0.777 0.941 1.530 1.356
1987 3.324 2.728 1.646 0.696 0.373 0.282 0.364 0.372 0.701 1.029 2.371 2.581 1.372
1988 3.512 2.755 1.595 1.106 0.311 0.196 0.270 0.308 0.680 1.246 2.166 2.505 1.388
1989 2.955 2.754 2.023 0.883 0.248 0.220 0.219 0.502 0.767 1.191 2.206 1.683 1.304
1990 4.189 1.707 1.189 0.743 0.350 0.804 0.308 0.522 0.766 2.012 2.358 1.744 1.391
1991 2.199 1.686 2.114 0.660 0.406 0.564 0.241 0.299 1.082 1.288 1.563 1.389 1.124
1992 1.533 1.543 1.084 0.607 0.398 0.481 0.286 0.266 0.986 1.301 1.983 1.609 1.006
1993 2.245 2.113 1.846 0.729 0.299 0.533 0.268 0.342 0.781 1.560 2.681 2.006 1.284
1994 2.540 2.885 1.668 1.245 0.342 0.327 0.191 0.232 0.702 1.033 1.366 2.163 1.225
1995 2.926 2.920 1.601 1.013 0.324 0.247 0.238 0.251 0.516 0.877 1.220 1.977 1.176
1996 1.906 2.321 1.415 1.043 0.278 0.217 0.212 0.206 0.399 0.744 1.018 1.281 0.920
1997 2.165 2.991 1.278 0.699 0.239 0.274 0.202 0.391 0.900 0.921 1.173 1.755 1.082
1998 2.668 2.430 1.292 0.641 0.280 0.261 0.232 0.204 0.393 1.023 1.329 1.417 1.014
1999 3.116 4.007 1.969 0.973 0.296 0.268 0.236 0.241 0.587 1.008 1.607 1.731 1.337
MAX. 4.189 4.007 2.944 1.512 0.406 0.804 0.364 0.588 1.082 2.012 2.681 3.073 1.418
MED. 2.600 2.680 1.749 0.835 0.316 0.345 0.249 0.348 0.686 1.125 1.627 1.802 1.197
MIN. 1.533 1.533 1.084 0.483 0.234 0.196 0.126 0.204 0.393 0.516 0.820 1.067 0.920
D.EST 0.607 0.637 0.433 0.248 0.056 0.138 0.048 0.105 0.191 0.333 0.572 0.505 0.145
Fuente: Elaboración propia
CUADRO N° 6.11: ANALISIS DE FRECUENCIA DE DESCARGAS GENERADAS (m3/s) - RIO MUYLOPERIODO: 1973 - 1999
DEPARTAMENTO: JUNIN LATITUD : 11°24' -11°33'PROVINCIA : TARMA LONGITUD : 75°45' - 75°54'DISTRITO : TARMA ALTITUD MEDIA : 4,136 msnm
Orden Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Frec.1 4.189 4.007 2.944 1.512 0.406 0.804 0.364 0.588 1.082 2.012 2.681 3.073 3.6
2 3.512 3.815 2.671 1.276 0.399 0.564 0.308 0.522 1.073 1.643 2.597 2.581 7.1
3 3.324 3.477 2.317 1.245 0.398 0.533 0.302 0.502 0.986 1.600 2.580 2.526 10.7
4 3.206 3.430 2.114 1.106 0.382 0.524 0.295 0.483 0.900 1.560 2.371 2.505 14.3
5 3.145 3.227 2.059 1.043 0.377 0.481 0.293 0.464 0.824 1.533 2.358 2.380 17.9
6 3.116 2.991 2.023 1.013 0.373 0.457 0.292 0.443 0.793 1.301 2.206 2.163 21.4
7 3.022 2.974 1.969 0.973 0.371 0.399 0.286 0.424 0.790 1.288 2.166 2.153 25.0
8 2.955 2.928 1.967 0.935 0.362 0.398 0.279 0.419 0.781 1.246 1.983 2.033 28.6
9 2.926 2.920 1.911 0.923 0.358 0.336 0.274 0.407 0.767 1.211 1.975 2.006 32.1
10 2.885 2.906 1.895 0.885 0.350 0.327 0.270 0.391 0.766 1.191 1.734 1.977 35.7
11 2.668 2.885 1.846 0.883 0.342 0.324 0.268 0.372 0.737 1.190 1.639 1.795 39.3
12 2.633 2.810 1.704 0.866 0.330 0.305 0.268 0.361 0.717 1.177 1.607 1.755 42.9
13 2.590 2.755 1.681 0.842 0.324 0.303 0.265 0.342 0.702 1.095 1.563 1.744 46.4
14 2.572 2.754 1.668 0.746 0.311 0.286 0.241 0.328 0.702 1.039 1.500 1.731 50.0
15 2.540 2.746 1.646 0.743 0.299 0.282 0.241 0.319 0.701 1.033 1.470 1.706 53.6
16 2.494 2.728 1.646 0.729 0.296 0.279 0.238 0.308 0.680 1.029 1.449 1.688 57.1
17 2.401 2.707 1.601 0.699 0.283 0.275 0.236 0.299 0.623 1.029 1.366 1.683 60.7
18 2.384 2.613 1.595 0.696 0.280 0.274 0.232 0.284 0.587 1.023 1.329 1.609 64.3
19 2.245 2.430 1.534 0.680 0.278 0.268 0.228 0.266 0.580 1.008 1.319 1.530 67.9
20 2.199 2.321 1.440 0.661 0.274 0.261 0.221 0.258 0.541 0.921 1.220 1.417 71.4
21 2.165 2.273 1.415 0.660 0.271 0.258 0.219 0.254 0.516 0.877 1.173 1.389 75.0
22 2.143 2.113 1.373 0.641 0.267 0.258 0.212 0.251 0.498 0.819 1.080 1.281 78.6
23 1.913 2.077 1.353 0.612 0.257 0.247 0.202 0.241 0.495 0.805 1.018 1.258 82.1
24 1.906 1.707 1.292 0.607 0.248 0.226 0.195 0.240 0.456 0.777 0.941 1.253 85.7
25 1.811 1.686 1.278 0.580 0.239 0.220 0.191 0.232 0.426 0.744 0.921 1.237 89.3
26 1.731 1.543 1.189 0.502 0.235 0.217 0.190 0.206 0.399 0.717 0.870 1.121 92.9
27 1.533 1.533 1.084 0.483 0.234 0.196 0.126 0.204 0.393 0.516 0.820 1.067 96.4
P(25%) 3.022 2.974 1.969 0.973 0.371 0.399 0.286 0.424 0.790 1.288 2.166 2.153
P(50%) 2.572 2.754 1.668 0.746 0.311 0.286 0.241 0.328 0.702 1.039 1.500 1.731
P(75%) 2.165 2.273 1.415 0.660 0.271 0.258 0.219 0.254 0.516 0.877 1.173 1.389
P(90%) 1.795 1.658 1.260 0.564 0.239 0.220 0.190 0.227 0.421 0.739 0.911 1.214
MED. 2.600 2.680 1.749 0.835 0.316 0.345 0.249 0.348 0.686 1.125 1.627 1.802
Fuente: Elaboración propia
Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic.
0.0
0.4
0.8
1.2
1.6
2.0
2.4
2.8
3.2
Figura 6.2: Variación Mensual de la Descarga para Cuatro Niveles de Persis-tencia - Río Muylo
P(50%) P(75%) P(90%) P(25%)
Mes
Ca
ud
al
(m3
/s)
CUADRO N° ##: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA CHUMBAOPERIODO: 1970 - 1998
DEPARTAMENTO: APURIMAC LATITUD : 13°39'PROVINCIA : ANDAHUAYLAS LONGITUD : 73°22'DISTRITO : SAN JERONIMO ALTITUD MEDIA : 4,119 msnm
factor 1.464Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.
1973 64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 50.0 121.9 46.7 193.3 979.61974 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 16.1 25.8 30.9 34.4 538.01975 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 60.9 66.2 86.8 95.4 725.61976 159.7 113.1 83.1 30.6 31.3 34.9 14.0 20.7 94.8 27.2 34.9 39.1 683.41977 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 18.3 19.1 176.0 97.4 644.01978 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 69.1 70.4 74.5 53.4 669.41979 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 8.6 72.1 62.7 56.3 629.51980 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 23.4 77.6 90.0 58.9 674.11981 105.8 150.8 86.4 20.3 9.3 3.3 0.0 70.4 38.0 102.7 160.5 123.8 871.31982 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 62.8 110.5 98.4 126.4 884.21983 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 46.6 61.1 21.2 79.1 532.91984 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 23.0 73.0 90.2 111.3 715.11985 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 41.9 38.9 71.3 143.3 789.91986 147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 59.6 42.5 33.6 61.5 885.61987 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 45.9 64.4 158.4 160.2 892.01988 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 37.2 84.0 109.6 135.7 825.21989 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 54.2 72.1 120.0 72.4 799.81990 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 59.4 151.8 130.5 90.2 1004.51991 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 91.5 63.9 69.2 64.3 664.71992 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 68.7 83.9 116.9 87.2 635.21993 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 45.9 103.9 164.4 110.1 874.91994 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 44.9 55.8 50.0 117.4 743.71995 139.0 126.6 82.2 63.2 9.3 0.0 13.7 3.7 25.7 39.5 54.8 100.4 658.11996 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 12.8 34.9 46.7 50.0 457.21997 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 81.9 57.6 63.9 93.5 674.01998 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 2.6 62.2 75.7 64.5 534.01999 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 45.5 57.7 86.1 93.1 877.2
MAX. 212.0 198.7 191.4 126.2 43.2 112.4 41.4 70.4 94.8 151.8 176.0 193.3 1004.5MED. 115.5 113.1 92.5 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1 735.7MIN. 59.7 26.7 40.7 9.3 0.7 0.0 0.0 0.0 2.6 19.1 21.2 34.4 457.2D.EST 36.4 37.4 35.2 27.4 11.4 24.5 10.4 19.0 24.3 30.8 43.7 38.2 142.5
CUADRO N° ##: NUMEROS ALEATORIOS ENTRE 0 Y 1 CON DISTRIBUCION UNIFORMEPERIODO: 1973 - 1999
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.1973 0.6606 0.4373 0.7676 0.0480 0.9368 0.4027 0.8416 0.2924 0.0958 0.8573 0.8257 0.2898 0.5316
1974 0.4308 0.0390 0.6368 0.1154 0.6679 0.3300 0.2397 0.5871 0.6983 0.6306 0.3038 0.5271 0.2831
1975 0.0695 0.5002 0.2685 0.0925 0.5840 0.2966 0.4353 0.5441 0.1900 0.6832 0.6942 0.3458 0.7695
1976 0.0386 0.3342 0.3367 0.4434 0.6301 0.9045 0.2027 0.2828 0.6400 0.5659 0.7573 0.2750 0.6195
1977 0.3205 0.9987 0.4761 0.3652 0.0228 0.5469 0.0504 0.9945 0.8622 0.9010 0.9721 0.9747 0.2875
1978 0.1631 0.6967 0.9935 0.7892 0.3049 0.8553 0.3364 0.4629 0.6528 0.0437 0.6961 0.2580 0.1589
1979 0.2939 0.6672 0.7565 0.3026 0.8509 0.2194 0.1304 0.6759 0.4598 0.7435 0.9912 0.3365 0.9385
1980 0.7773 0.5262 0.4573 0.4102 0.2743 0.4175 0.8553 0.8287 0.5854 0.4228 0.0497 0.5734 0.6974
1981 0.9489 0.0724 0.9038 0.5991 0.6842 0.9347 0.1843 0.6908 0.1881 0.0846 0.0094 0.6021 0.2939
1982 0.6514 0.0830 0.2232 0.2768 0.2222 0.7038 0.1943 0.5948 0.9618 0.2362 0.4174 0.2342 0.3822
1983 0.2490 0.1083 0.8594 0.4986 0.2843 0.8115 0.8887 0.3109 0.6152 0.4810 0.8338 0.9863 0.5999
1984 0.1148 0.9121 0.6132 0.7933 0.4219 0.1438 0.5523 0.1240 0.3337 0.0225 0.8943 0.6656 0.3557
1985 0.7931 0.2642 0.7612 0.1613 0.2348 0.9238 0.3041 0.4028 0.5137 0.8232 0.2409 0.0508 0.3358
1986 0.2017 0.0289 0.1742 0.1026 0.0507 0.9948 0.2834 0.5810 0.3870 0.7697 0.5613 0.1127 0.2014
1987 0.5794 0.5694 0.3257 0.5483 0.8250 0.5402 0.9241 0.0615 0.3935 0.0582 0.7307 0.5625 0.7262
1988 0.9890 0.9846 0.2464 0.3998 0.7251 0.5558 0.0606 0.8617 0.2818 0.1881 0.3018 0.0936 0.7613
1989 0.0020 0.5593 0.9155 0.5658 0.3756 0.9768 0.2755 0.2236 0.9432 0.8927 0.0406 0.1815 0.6253
1990 0.9730 0.8251 0.1976 0.5912 0.6485 0.0984 0.9037 0.3320 0.4819 0.3041 0.0711 0.9374 0.5360
1991 0.0232 0.5899 0.6701 0.2936 0.1982 0.6743 0.1245 0.3866 0.7470 0.1784 0.6472 0.8385 0.7639
1992 0.0209 0.8988 0.0941 0.4640 0.6830 0.2049 0.1206 0.6767 0.4861 0.6074 0.4625 0.6398 0.5360
1993 0.9944 0.2438 0.1433 0.3480 0.8542 0.4079 0.3756 0.1740 0.9283 0.8524 0.6232 0.5171 0.5225
1994 0.5974 0.1101 0.3956 0.0963 0.6422 0.4439 0.8150 0.6383 0.4682 0.4390 0.2634 0.8837 0.9670
1995 0.9204 0.6504 0.4682 0.8472 0.3907 0.1235 0.0486 0.3176 0.3355 0.6946 0.4244 0.6362 0.9386
1996 0.5266 0.5508 0.6573 0.4474 0.0805 0.1793 0.3080 0.5329 0.7225 0.8907 0.0572 0.6354 0.2149
1997 0.0651 0.3019 0.0823 0.8944 0.0891 0.1042 0.6126 0.7191 0.1848 0.4150 0.4599 0.5220 0.6394
1998 0.2411 0.8767 0.2852 0.8856 0.0838 0.4359 0.3642 0.7133 0.8737 0.9190 0.0960 0.2665 0.9403
1999 0.8503 0.4798 0.0241 0.0434 0.9115 0.4016 0.6408 0.7491 0.6542 0.9161 0.1723 0.2275 0.49461999 0.3369 0.2665 0.4642 0.9731 0.8209 0.7386 0.8073 0.1736 0.7256 0.7040 0.2982 0.8958 0.2036
MAX. 0.9944 0.9987 0.9935 0.8944 0.9368 0.9948 0.9241 0.9945 0.9618 0.9190 0.9912 0.9863 0.967MED. 0.4628 0.4929 0.4716 0.4231 0.4695 0.5049 0.4101 0.5096 0.5439 0.5415 0.4666 0.4879 5.784MIN. 0.0020 0.0289 0.0241 0.0434 0.0228 0.0984 0.0486 0.0615 0.0958 0.0225 0.0094 0.0508 0.159
D.EST 0.3536 0.3074 0.2896 0.2646 0.2946 0.2957 0.2948 0.2408 0.2508 0.3096 0.3141 0.2800 0.244
CUADRO N° ##: PRECIPITACION TOTAL MENSUAL (m.m)ESTACION LA OROYA
DEPARTAMENTO: JUNIN LATITUD : 11°31'PROVINCIA : YAULI LONGITUD : 75°54'DISTRITO : LA OROYA ALTITUD : 3,160 msnm
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.1973 49.3 87.7 146.2 68.6 16.6 14.6 18.0 32.7 38.2 93.1 35.7 147.7 748.4
1974 87.9 84.5 65.6 37.6 1.1 20.4 0.6 31.5 12.3 19.7 23.6 26.3 411.1
1975 55.7 92.0 86.7 24.1 24.4 4.6 2.2 28.4 46.5 50.6 66.3 72.9 554.4
1976 122.0 86.4 63.5 23.4 23.9 26.7 10.7 15.8 72.4 20.8 26.7 29.9 522.2
1977 75.2 60.4 45.0 43.9 17.1 2.0 9.4 1.5 14.0 14.6 134.5 74.4 492.0
1978 87.1 101.0 50.3 29.9 10.2 7.1 13.7 7.9 52.8 53.8 56.9 40.8 511.5
1979 51.0 93.0 112.9 51.3 13.0 0.2 2.2 4.7 6.6 55.1 47.9 43.0 480.9
1980 75.3 108.4 69.1 7.1 24.1 7.1 18.0 15.0 17.9 59.3 68.8 45.0 515.1
1981 80.8 115.2 66.0 15.5 7.1 2.5 0.0 53.8 29.0 78.5 122.6 94.6 665.6
1982 108.7 130.6 58.8 35.8 0.5 20.0 2.4 14.5 48.0 84.4 75.2 96.6 675.5
1983 80.4 20.4 67.4 19.2 2.2 37.3 3.6 17.8 35.6 46.7 16.2 60.4 407.2
1984 90.7 77.9 53.8 52.1 6.0 23.8 1.6 13.1 17.6 55.8 68.9 85.0 546.3
1985 101.8 99.7 87.3 41.5 11.1 23.1 8.4 5.0 32.0 29.7 54.5 109.5 603.6
1986 112.8 121.4 120.8 96.4 22.2 0.4 16.0 36.0 45.5 32.5 25.7 47.0 676.7
1987 116.7 79.6 53.5 16.3 23.4 14.3 31.6 18.5 35.1 49.2 121.0 122.4 681.6
1988 125.1 88.0 60.6 67.6 7.8 0.0 1.4 0.0 28.4 64.2 83.7 103.7 630.5
1989 94.5 89.3 88.7 43.3 6.9 4.2 1.5 39.1 41.4 55.1 91.7 55.3 611.0
1990 162.0 38.6 33.5 33.5 33.0 85.9 11.9 39.2 45.4 116.0 99.7 68.9 767.6
1991 50.2 49.5 99.8 29.1 27.1 29.0 2.4 0.0 69.9 48.8 52.9 49.1 507.8
1992 45.6 43.9 31.1 25.9 18.9 30.8 7.9 8.7 52.5 64.1 89.3 66.6 485.3
1993 79.4 72.9 83.5 34.6 10.7 32.6 13.3 17.3 35.1 79.4 125.6 84.1 668.5
1994 88.1 100.8 64.6 80.1 19.8 1.6 0.0 8.4 34.3 42.6 38.2 89.7 568.2
1995 106.2 96.7 62.8 48.3 7.1 0.0 10.5 2.8 19.6 30.2 41.9 76.7 502.8
1996 52.9 68.2 51.3 52.6 8.6 0.0 0.0 5.4 9.8 26.7 35.7 38.2 349.4
1997 75.6 104.0 45.5 26.6 8.0 0.7 1.5 26.2 62.6 44.0 48.8 71.4 514.9
1998 95.7 70.3 48.6 28.9 7.3 0.5 0.0 0.0 2.0 47.5 57.8 49.3 407.9
1999 112.9 151.8 90.2 61.8 10.7 3.7 18.4 4.9 34.8 44.1 65.8 71.1 670.2
MAX. 162.0 151.8 146.2 96.4 33.0 85.9 31.6 53.8 72.4 116.0 134.5 147.7 767.6
MED. 88.3 86.4 70.6 40.6 13.7 14.6 7.7 16.6 34.8 52.1 65.8 71.1 562.1
MIN. 45.6 20.4 31.1 7.1 0.5 0.0 0.0 0.0 2.0 14.6 16.2 26.3 349.4
D.EST 27.8 28.6 26.9 20.9 8.7 18.7 8.0 14.5 18.6 23.5 33.4 29.2 108.9
isoyeta 650 1.65 1070.7
700 58.33 40832.9
750 93.51 70130.1
800 65.75 52596.4
850 26.99 22938.2
900 41.42 37281.6
950 24.76 23519.6
312.4 2E+05 795
CUADRO N° 5.6: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA MUYLOPERIODO: 1973 - 1999
DEPARTAMENTO: JUNIN LATITUD : 11°24' -11°33'PROVINCIA : TARMA LONGITUD : 75°45' - 75°54'DISTRITO : TARMA ALTITUD MEDIA : 4,136 msnm
factor 1.3089
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.1973 64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 50.0 121.9 46.7 193.3 979.6
1974 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 16.1 25.8 30.9 34.4 538.1
1975 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 60.9 66.2 86.8 95.4 725.6
1976 159.7 113.1 83.1 30.6 31.3 34.9 14.0 20.7 94.8 27.2 34.9 39.1 683.5
1977 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 18.3 19.1 176.0 97.4 644.0
1978 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 69.1 70.4 74.5 53.4 669.5
1979 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 8.6 72.1 62.7 56.3 629.4
1980 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 23.4 77.6 90.0 58.9 674.2
1981 105.8 150.8 86.4 20.3 9.3 3.3 0.0 70.4 38.0 102.7 160.5 123.8 871.2
1982 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 62.8 110.5 98.4 126.4 884.1
1983 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 46.6 61.1 21.2 79.1 533.0
1984 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 23.0 73.0 90.2 111.3 715.0
1985 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 41.9 38.9 71.3 143.3 790.0
1986 147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 59.6 42.5 33.6 61.5 885.7
1987 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 45.9 64.4 158.4 160.2 892.1
1988 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 37.2 84.0 109.6 135.7 825.2
1989 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 54.2 72.1 120.0 72.4 799.7
1990 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 59.4 151.8 130.5 90.2 1004.7
1991 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 91.5 63.9 69.2 64.3 664.6
1992 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 68.7 83.9 116.9 87.2 635.2
1993 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 45.9 103.9 164.4 110.1 875.0
1994 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 44.9 55.8 50.0 117.4 743.7
1995 139.0 126.6 82.2 63.2 9.3 0.0 13.7 3.7 25.7 39.5 54.8 100.4 658.1
1996 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 12.8 34.9 46.7 50.0 457.3
1997 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 81.9 57.6 63.9 93.5 673.9
1998 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 2.6 62.2 75.7 64.5 533.9
1999 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 45.5 57.7 86.1 93.1 877.2
MAX. 212.0 198.7 191.4 126.2 43.2 112.4 41.4 70.4 94.8 151.8 176.0 193.3 1004.7MED. 115.5 113.1 92.4 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1 735.7MIN. 59.7 26.7 40.7 9.3 0.7 0.0 0.0 0.0 2.6 19.1 21.2 34.4 457.3D.EST 36.4 37.4 35.2 27.4 11.4 24.5 10.4 19.0 24.3 30.8 43.7 38.2 142.5
Fuente: Elaboración propia
CUADRO N° 5.7: ANALISIS DE FRECUENCIAS DE PRECIPITACION - MICROCUENCA MUYLOPERIODO: 1973 - 1999
DEPARTAMENTO: JUNIN LATITUD : 11°24' -11°33'PROVINCIA : TARMA LONGITUD : 75°45' - 75°54'DISTRITO : TARMA ALTITUD MEDIA : 4,136 msnm
Orden Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Frec.1 212.0 198.7 191.4 126.2 43.2 112.4 41.4 70.4 94.8 151.8 176.0 193.3 3.6
2 163.7 170.9 158.1 104.8 35.5 48.8 24.1 51.3 91.5 121.9 164.4 160.2 7.1
3 159.7 158.9 147.8 89.8 31.9 42.7 23.6 51.2 81.9 110.5 160.5 143.3 10.7
4 152.7 150.8 130.6 88.5 31.5 40.3 23.6 47.1 69.1 103.9 158.4 135.7 14.3
5 147.8 141.9 118.1 80.9 31.3 38.0 20.9 42.8 68.7 102.7 130.5 126.4 17.9
6 147.6 136.1 116.1 68.8 30.6 34.9 17.9 41.2 62.8 84.0 120.0 123.8 21.4
7 142.3 132.2 114.3 68.2 29.1 31.2 17.4 37.2 60.9 83.9 116.9 117.4 25.0
8 139.0 131.9 113.5 67.1 25.9 30.2 15.6 34.3 59.6 77.6 109.6 111.3 28.6
9 133.2 130.5 109.3 63.2 24.7 26.7 14.0 24.2 59.4 73.0 98.4 110.1 32.1
10 125.3 126.6 90.4 57.5 22.4 26.2 13.7 23.3 54.2 72.1 90.2 100.4 35.7
11 123.7 121.7 88.2 56.7 21.7 19.1 12.3 22.6 50.0 72.1 90.0 97.4 39.3
12 118.7 120.4 86.4 54.3 17.0 18.7 11.0 20.7 46.6 70.4 86.8 95.4 42.9
13 115.3 116.9 85.9 49.2 14.5 9.3 10.3 19.6 45.9 66.2 86.1 93.5 46.4
14 115.0 115.2 84.6 46.9 14.0 9.3 4.7 19.0 45.9 64.4 75.7 93.1 50.0
15 114.0 114.8 83.1 45.3 14.0 6.0 3.1 17.1 45.5 63.9 74.5 90.2 53.6
16 105.8 113.1 82.2 43.8 13.4 5.5 3.1 11.4 44.9 62.2 71.3 87.2 57.1
17 105.2 110.6 79.3 39.1 11.3 4.8 2.9 11.0 41.9 61.1 69.2 79.1 60.7
18 103.9 104.2 77.0 38.1 10.5 3.3 2.9 10.3 38.0 57.7 63.9 72.4 64.3
19 98.9 102.0 70.4 37.8 10.2 2.6 2.1 7.1 37.2 57.6 62.7 64.5 67.9
20 98.6 95.4 70.0 34.8 9.6 2.1 2.0 6.5 25.7 55.8 54.8 64.3 71.4
21 98.4 92.0 67.1 33.9 9.3 0.9 2.0 6.4 23.4 42.5 50.0 61.5 75.0
22 72.9 89.3 65.8 31.5 9.3 0.7 1.8 6.2 23.0 39.5 46.7 58.9 78.6
23 69.2 79.1 63.6 30.6 9.0 0.5 0.8 3.7 18.3 38.9 46.7 56.3 82.1
24 66.8 64.8 59.6 25.1 7.9 0.3 0.0 2.0 16.1 34.9 34.9 53.4 85.7
25 65.7 57.5 58.9 21.3 2.9 0.0 0.0 0.0 12.8 27.2 33.6 50.0 89.3
26 64.5 50.5 43.8 20.3 1.4 0.0 0.0 0.0 8.6 25.8 30.9 39.1 92.9
27 59.7 26.7 40.7 9.3 0.7 0.0 0.0 0.0 2.6 19.1 21.2 34.4 96.4
P(25%) 142.3 132.2 114.3 68.2 29.1 31.2 17.4 37.2 60.9 83.9 116.9 117.4
P(50%) 115.0 115.2 84.6 46.9 14.0 9.3 4.7 19.0 45.9 64.4 75.7 93.1
P(75%) 98.4 92.0 67.1 33.9 9.3 0.9 2.0 6.4 23.4 42.5 50.0 61.5
P(90%) 65.5 56.1 55.9 21.1 2.6 0.0 0.0 0.0 12.0 26.9 33.1 47.8
MED. 115.5 113.1 92.4 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1
Fuente: Elaboración propia
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
0
50
100
150
200
250
Figura 5.4: Serie Histórica de Precipitación Generada - Microcuenca Muylo
Tiempo (años)
Pre
cip
ita
ció
n (
mm
)
Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic.
0
25
50
75
100
125
150
Figura 5.5: Variación Mensual de la Precipitación para Cuatro Niveles de Persis-tencia - Microcuenca Muylo
25% 50% 75% 90%
Mes
Pre
cip
ita
ció
n (
mm
)
Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic.
0
25
50
75
100
125
150
Figura 5.5: Variación Mensual de la Precipitación para Cuatro Niveles de Persis-tencia - Microcuenca Muylo
25% 50% 75% 90%
Mes
Pre
cip
ita
ció
n (
mm
)
Año 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983Ene. 64.5 115.0 72.9 159.7 98.4 114.0 66.8 98.6 105.8 142.3 105.2Feb. 114.8 110.6 120.4 113.1 79.1 132.2 121.7 141.9 150.8 170.9 26.7Mar. 191.4 85.9 113.5 83.1 58.9 65.8 147.8 90.4 86.4 77.0 88.2Abr. 89.8 49.2 31.5 30.6 57.5 39.1 67.1 9.3 20.3 46.9 25.1May. 21.7 1.4 31.9 31.3 22.4 13.4 17.0 31.5 9.3 0.7 2.9Jun. 19.1 26.7 6.0 34.9 2.6 9.3 0.3 9.3 3.3 26.2 48.8Jul. 23.6 0.8 2.9 14.0 12.3 17.9 2.9 23.6 0.0 3.1 4.7Ago. 42.8 41.2 37.2 20.7 2.0 10.3 6.2 19.6 70.4 19.0 23.3Set. 50.0 16.1 60.9 94.8 18.3 69.1 8.6 23.4 38.0 62.8 46.6Oct. 121.9 25.8 66.2 27.2 19.1 70.4 72.1 77.6 102.7 110.5 61.1Nov. 46.7 30.9 86.8 34.9 176.0 74.5 62.7 90.0 160.5 98.4 21.2Dic. 193.3 34.4 95.4 39.1 97.4 53.4 56.3 58.9 123.8 126.4 79.1
1973 64.5114.8191.4
89.821.719.123.642.850.0
121.946.7
193.31974 115.0
110.685.949.2
1.426.7
0.841.216.125.830.934.4
1975 72.9120.4113.5
31.531.9
6.02.9
37.260.966.286.895.4
1976 159.7113.1
83.130.631.3
34.914.020.794.827.234.939.1
1977 98.4142.5 79.1
58.957.522.4
2.612.3
2.018.319.1
176.097.4
1978 114.0132.2
65.839.113.4
9.317.910.369.170.474.553.4
1979 66.8121.7147.8
67.117.0
0.32.96.28.6
72.162.756.3
1980 98.6141.9
90.49.3
31.59.3
23.619.623.477.690.058.9
1981 105.8
150.886.420.3
9.33.30.0
70.438.0
102.7160.5123.8
1982 142.3170.9
77.046.9
0.726.2
3.119.062.8
110.598.4
126.41983 105.2
26.788.225.1
2.948.8
4.723.346.661.121.279.1
1984 118.7102.0
70.468.2
7.931.2
2.117.123.073.090.2
111.31985 133.2
130.5114.3
54.314.530.211.0
6.541.9
38.971.3
143.31986 147.6
158.9158.1126.2
29.10.5
20.947.159.642.533.661.5
1987 152.7104.2
70.021.330.618.741.424.245.964.4
158.4160.2
1988 163.7115.2
79.388.510.2
0.01.80.0
37.284.0
109.6135.7
1989 123.7116.9116.1
56.79.05.52.0
51.254.272.1
120.072.4
1990 212.050.543.843.843.2
112.415.651.359.4
151.8130.5
90.21991 65.7
64.8130.6
38.135.538.0
3.10.0
91.563.969.264.3
1992 59.757.540.733.924.740.310.311.468.783.9
116.987.2
1993 103.995.4
109.345.314.042.717.422.645.9
103.9164.4110.1
1994 115.3131.9
84.6104.8
25.92.10.0
11.044.955.850.0
117.41995 139.0
126.682.263.2
9.30.0
13.73.7
25.739.554.8
100.41996 69.2
89.367.168.811.3
0.00.07.1
12.834.946.750.0
1997 98.9136.1
59.634.810.5
0.92.0
34.381.957.663.993.5
1998 125.392.063.637.8
9.60.70.00.02.6
62.275.764.5
1999 147.8198.7118.1
80.914.0
4.824.1
6.445.5
57.786.193.1
1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997118.7 133.2 147.6 152.7 163.7 123.7 212.0 65.7 59.7 103.9 115.3 139.0 69.2 98.9102.0 130.5 158.9 104.2 115.2 116.9 50.5 64.8 57.5 95.4 131.9 126.6 89.3 136.1
70.4 114.3 158.1 70.0 79.3 116.1 43.8 130.6 40.7 109.3 84.6 82.2 67.1 59.668.2 54.3 126.2 21.3 88.5 56.7 43.8 38.1 33.9 45.3 104.8 63.2 68.8 34.8
7.9 14.5 29.1 30.6 10.2 9.0 43.2 35.5 24.7 14.0 25.9 9.3 11.3 10.531.2 30.2 0.5 18.7 0.0 5.5 112.4 38.0 40.3 42.7 2.1 0.0 0.0 0.9
2.1 11.0 20.9 41.4 1.8 2.0 15.6 3.1 10.3 17.4 0.0 13.7 0.0 2.017.1 6.5 47.1 24.2 0.0 51.2 51.3 0.0 11.4 22.6 11.0 3.7 7.1 34.323.0 41.9 59.6 45.9 37.2 54.2 59.4 91.5 68.7 45.9 44.9 25.7 12.8 81.973.0 38.9 42.5 64.4 84.0 72.1 151.8 63.9 83.9 103.9 55.8 39.5 34.9 57.690.2 71.3 33.6 158.4 109.6 120.0 130.5 69.2 116.9 164.4 50.0 54.8 46.7 63.9
111.3 143.3 61.5 160.2 135.7 72.4 90.2 64.3 87.2 110.1 117.4 100.4 50.0 93.5
1998 1999125.3 147.8
92.0 198.763.6 118.137.8 80.9
9.6 14.00.7 4.80.0 24.10.0 6.42.6 45.5
62.2 57.775.7 86.164.5 93.1