Generar Caudales Lutz Dr Mejía.xls b3h12
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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 Efectiva según el Bureao of Reclamation
0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0 110.0 120.0 130.0 140.0 150.0 160.0 170.0 180.0
P. Efectiva: PE (mm) Curva I Curva II Curva III 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 4.0 0.0 3.0 6.0 0.5 4.0 8.0 1.0 6.0 11.0 1.5 8.0 14.0 3.0 10.0 18.0 4.0 14.0 24.0 5.5 18.0 30.0 8.0 23.0 39.0 11.0 29.0 48.0 15.0 36.0 58.0 19.0 43.0 68.0 24.0 52.0 78.0 30.0 60.0 88.0 37.0 69.0 98.0 45.0 79.0 108.0 55.0 89.0 118.0
Figura 6.1: Porción de Precipitación Efectiva Según Bureao Of Reclamation
140.0 Precipitación Efectiva (mm)
P mm
120.0 100.0 80.0 60.0
40.0 20.0 0.0 0.0
20.0
40.0
60.0
80.0
100.0 120.0 140.0 160.0 180.0
Precipitación Mensual (mm) Curva I
Curva II
Curva III
Cuadro N° 6.2: Cálculo del Coeficiente de Escorrentía
Método de la Misión Alemana Precipitación Media Anual: P Evaporación Total Anual: ETP Coeficiente de Escorrentía: C
Método de L - Turc 735.7
mm
1002.2
mm
0.63
Temperatura Media Anual: T Coeficiente de Temperatura: L Déficit de Escurrimiento: D Coeficiente de Escorrentía: C
Cuadro N° 6.3: Características Generales de la Microcuenca
Area de la Microcuenca: A Altitud Media de la Microcuenca: H Pendiente Media de la Microcuenca Precipitación Media Anual: P Evaporación Total Anual: ETP Temperatura Media Anual: T Déficit de Escurrimiento: D Coeficiente de Escorrentía: C Coeficiente de Agotamiento: a Relación de Caudales (30 días): bo Area de lagunas y acuíferos Gasto Mensual de Retención: R
112.27 Km2 4136 msnm 0.38 m/m 735.7 mm 1002.2 mm 6.4 °C 403.9 mm/año 0.45 0.0181 0.581 15 Km2 40.1 mm/año
6.4
°C
473.1 403.9
mm/año
0.45
Cuadro N° 6.4: Coeficientes de Cálculo - Precipitación Efectiva Coef.
a0 a1 a2 a3 a4 a5
Curva I
Curva II Curva III
-0.047000 -0.106500 -0.417700 0.009400
0.147700
0.379500
-0.000500 -0.002900 -0.010100 0.000020
0.000050
0.000200
-5.00E-08 -2.00E-07 -9.00E-07 2.00E-10
2.00E-10
1.00E-09
El rango de aplicación de los coeficientes de la ecuación Polinómica de la PE está comprendida para 0 < P < 250 mm
CUADRO N° 6.5: GENERACION DE CAUDALES MEDIOS MENSUALES PARA EL AÑO PROMEDIO
MES 1
N° días del mes 2
Enero Febrero Marzo Abril Mayo Junio Julio Agosto Setiem. Octubre Noviem. Diciem.
30 28 31 30 31 30 31 31 30 31 30 31
AÑO
PRECIPITACION MENSUAL P Efectiva Total PE II PE III
PE
mm/mes
mm/mes
mm/mes
mm/mes
3
4
5
6
CONTRIBUCION DE LA RETENCION Gasto Abastecimiento bi Gi ai Ai mm/mes
7
8
9
CAUDALES GENERADOS
mm/mes
mm/mes
m3/s
10
11
12
115.5 113.1 92.4 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1
23.8 22.8 15.0 5.5 1.9 2.0 1.1 2.2 4.5 8.3 13.0 15.2
77.2 73.9 47.3 14.5 4.2 4.4 2.6 4.9 11.1 23.9 40.3 48.1
72.4 69.3 44.4 13.7 4.0 4.2 2.4 4.7 10.5 22.5 37.8 45.2
0.000 0.000 0.000 0.581 0.325 0.196 0.106 0.060 0.038 0.020 0.000 0.000
0.0 0.0 0.0 17.5 9.8 5.9 3.2 1.8 1.2 0.6 0.0 0.0
0.219 0.209 0.134 0.041 0.012 0.013 0.007 0.014 0.032 0.068 0.114 0.136
8.8 8.4 5.4 1.7 0.5 0.5 0.3 0.6 1.3 2.7 4.6 5.5
63.6 60.9 39.0 29.6 13.3 9.6 5.3 5.9 10.4 20.4 33.3 39.7
2.76 2.83 1.64 1.28 0.56 0.42 0.22 0.25 0.45 0.85 1.44 1.66
735.7
115.4
352.5
331.1
1.327
40.1
1.000
40.1
331.1
1.20
0.45
0.090
0.910
1.000
Coeficientes Fuente: Elaboración propia
CUADRO N° 6.6: CALCULO DE LOS COEFICIENTES DE CORRELACION PARA EL AÑO PROMEDIO Qt 63.6 60.9 39.0 29.6 13.3 9.6 5.3 5.9 10.4 20.4 33.3 39.7
Qt-1
PE
39.7 63.6 60.9 39.0 29.6 13.3 9.6 5.3 5.9 10.4 20.4 33.3
Fuente: Elaboración propia
72.4 69.3 44.4 13.7 4.0 4.2 2.4 4.7 10.5 22.5 37.8 45.2
Resultado de la regresión Constante 3.6206 Error típico de est Y 3.8917 R cuadrado 0.9661 Nº de observaciones 12 Grados de libertad 9 Coeficientes X 0.2384 Error típico del coef 0.0899
0.6303 0.0712
CUADRO N° 6.7: PRECIPITACION EFECTIVA MENSUAL GENERADA (m.m) - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO : Año 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 MAX. MED. MIN. D.EST
Ene.
Feb.
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
Nov.
Dic.
Tot.
37.3 66.4 42.1 92.3 56.8 65.9 38.6 57.0 61.1 82.2 60.8 68.6 77.0 85.3 88.2 94.6 71.5 122.5 38.0 34.5 60.0 66.6 80.3 40.0 57.1 72.4 85.4
65.3 62.9 68.5 64.3 45.0 75.2 69.2 80.7 85.8 97.2 15.2 58.0 74.2 90.4 59.3 65.5 66.5 28.7 36.9 32.7 54.3 75.0 72.0 50.8 77.4 52.3 113.0
93.4 41.9 55.4 40.5 28.7 32.1 72.1 44.1 42.2 37.6 43.0 34.3 55.8 77.1 34.2 38.7 56.6 21.4 63.7 19.9 53.3 41.3 40.1 32.7 29.1 31.0 57.6
29.4 16.1 10.3 10.0 18.8 12.8 22.0 3.0 6.7 15.4 8.2 22.4 17.8 41.4 7.0 29.0 18.6 14.4 12.5 11.1 14.8 34.4 20.7 22.6 11.4 12.4 26.5
3.7 0.2 5.5 5.4 3.8 2.3 2.9 5.4 1.6 0.1 0.5 1.4 2.5 5.0 5.2 1.7 1.5 7.4 6.1 4.2 2.4 4.4 1.6 1.9 1.8 1.6 2.4
3.4 4.7 1.1 6.2 0.5 1.6 0.1 1.6 0.6 4.6 8.7 5.5 5.4 0.1 3.3 0.0 1.0 19.9 6.7 7.1 7.6 0.4 0.0 0.0 0.2 0.1 0.9
3.0 0.1 0.4 1.8 1.6 2.3 0.4 3.0 0.0 0.4 0.6 0.3 1.4 2.7 5.3 0.2 0.3 2.0 0.4 1.3 2.2 0.0 1.8 0.0 0.3 0.0 3.1
8.1 7.8 7.0 3.9 0.4 1.9 1.2 3.7 13.3 3.6 4.4 3.2 1.2 8.9 4.6 0.0 9.7 9.7 0.0 2.2 4.3 2.1 0.7 1.3 6.5 0.0 1.2
14.8 4.8 18.0 28.0 5.4 20.4 2.5 6.9 11.2 18.5 13.8 6.8 12.4 17.6 13.5 11.0 16.0 17.5 27.0 20.3 13.5 13.2 7.6 3.8 24.2 0.8 13.4
47.6 10.1 25.9 10.6 7.5 27.5 28.2 30.3 40.1 43.2 23.9 28.5 15.2 16.6 25.2 32.8 28.2 59.3 25.0 32.8 40.6 21.8 15.4 13.6 22.5 24.3 22.5
21.6 14.3 40.2 16.2 81.5 34.5 29.0 41.7 74.4 45.6 9.8 41.8 33.0 15.6 73.4 50.8 55.6 60.5 32.1 54.2 76.2 23.2 25.4 21.6 29.6 35.1 39.9
94.9 16.9 46.9 19.2 47.8 26.2 27.7 28.9 60.8 62.1 38.8 54.7 70.4 30.2 78.7 66.6 35.6 44.3 31.6 42.8 54.1 57.7 49.3 24.6 45.9 31.7 45.7
422.6 246.3 321.2 298.4 297.9 302.8 293.8 306.5 397.7 410.5 227.7 325.5 366.2 390.8 397.8 391.0 361.0 407.6 279.9 263.1 383.3 340.0 314.9 213.0 305.9 261.7 411.7
122.5 66.7 34.5 21.0
113.0 64.3 15.2 21.3
93.4 45.1 19.9 17.2
41.4 17.4 3.0 9.0
7.4 3.1 0.1 1.9
19.9 3.4 0.0 4.3
5.3 1.3 0.0 1.3
13.3 4.1 0.0 3.6
28.0 13.4 0.8 7.2
59.3 26.6 7.5 12.0
81.5 39.9 9.8 20.2
94.9 45.7 16.9 18.7
422.6 331.1 213.0 61.4
Fuente: Elaboración propia
CUADRO N° 6.8: NUMEROS ALEATORIOS GENERADOS CON DISTRIBUCION NORMAL PERIODO: 1973 - 1999 Año 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 MAX. MED. MIN. D.EST
Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Nov.
Dic.
-1.5966 0.0105 1.2152 0.4135 1.1343 1.2940 -0.5380 -0.0281 2.0798 1.5612 1.1253 -0.2910 -0.0233 1.0737 -0.1983 -0.6155 0.3218 -0.5111 0.2263 -2.8984 2.7165 0.9527 -0.9392 -1.3015 -0.1869 0.5839 -0.2743
0.0877 -1.2520 0.4687 0.7820 -1.8866 3.3463 0.7640 -0.0294 -0.5048 -0.4666 0.3445 1.2540 0.7413 -0.8534 -0.0991 0.5819 -0.4926 1.2570 0.9882 0.4776 -0.3105 0.5397 -1.2930 -0.8747 0.1235 0.5272 -1.4116
-2.3904 0.2171 -0.8456 -1.1063 2.0323 0.8647 -2.1026 1.3944 -0.5833 -0.5615 -0.2926 -0.3981 -2.4322 0.9921 -1.4990 0.9618 -0.1904 -0.3120 -0.1751 -3.2016 0.9035 -0.4790 -0.2745 0.5360 0.6896 0.5156 -0.4391
-0.7550 -0.5433 0.3683 -0.2680 1.0444 1.2500 -0.4054 1.3643 0.8015 -0.3720 2.2076 0.7117 -0.0054 0.6119 -0.3861 -0.2981 -1.4572 -0.5204 -0.4812 -0.3364 0.7106 -0.7509 -0.2154 0.9330 -0.5657 -0.6806 -1.9478
-0.4466 -0.3381 1.5782 -0.2134 0.9040 -1.1365 -0.6222 -0.0370 1.6967 0.0536 1.6588 0.1478 0.1338 0.8652 -0.2292 0.7943 -0.6208 -1.8799 0.3291 1.2483 -0.3804 0.0763 1.6186 -0.0735 -0.8743 0.9193 0.4749
-0.5589 -0.8931 -0.2601 0.3693 -0.2176 0.7473 -0.0107 1.6010 0.9477 -1.4942 1.8781 0.7956 -0.4700 0.7960 -1.0239 -0.8993 -0.3268 1.6165 1.0280 -0.1691 1.7623 1.0703 0.4031 0.0471 1.9618 1.1360 0.8444
0.5912 -0.0941 -2.9578 0.3989 1.3658 -0.1073 1.2196 -2.2418 2.9724 1.1692 -1.2175 -0.5205 1.3301 0.4671 -0.0141 0.8579 -0.1383 1.7021 0.1911 1.3768 -0.3663 -0.8323 -0.1998 0.1307 -0.2437 1.0753 -1.7578
-0.0289 0.2287 1.1470 -1.4225 -0.0089 -0.0938 0.3394 0.3014 0.2772 1.2333 2.4458 0.5992 0.4522 -1.5919 0.0807 2.2559 0.6889 -0.1901 0.7741 -0.4863 0.4761 -1.8798 0.8548 -1.3836 0.6130 -1.3536 0.2782
0.2563 1.4146 0.8752 -1.1822 0.6460 -0.8834 1.0837 -0.9036 -0.7543 -1.7584 0.2774 -0.5759 0.3454 0.1545 -0.4402 1.8038 0.3688 -1.6973 0.1678 0.5569 0.6188 -0.0859 -0.4938 0.5154 -0.3700 0.0180 -0.9800
-1.6837 0.1854 0.3940 1.2195 -0.1192 0.9089 -1.5326 -0.8080 1.2438 -0.4950 0.0868 0.8457 -0.7761 -0.2919 0.9030 -0.6143 -0.0544 0.3068 -0.1188 -0.7975 0.8545 -2.2105 2.3731 0.7651 -0.0862 0.3067 0.5708
-0.9332 0.4906 -0.0317 -0.7473 -0.1762 0.5041 -1.4284 0.9567 0.0612 -1.3314 -0.8268 -0.1815 1.7475 0.2908 -0.4385 1.8579 0.4862 0.8003 -1.0215 -0.7948 -0.9094 -2.0135 1.4402 -0.6483 -1.1250 -2.0816 1.4355
0.3884 -2.4223 -0.0639 0.1751 1.1980 0.0432 -2.0015 1.7862 3.3345 2.4762 1.6390 0.3038 1.0055 -0.7297 -0.4770 -0.7686 -0.1924 0.6873 -0.4340 -0.1910 1.3865 0.3222 0.2050 0.3117 2.8090 0.3229 1.1164
2.717 0.197 -2.898 1.180
3.346 0.104 -1.887 1.063
2.032 -0.303 -3.202 1.243
2.208 0.001 -1.948 0.916
1.697 0.209 -1.880 0.909
1.962 0.396 -1.494 0.967
2.972 0.154 -2.958 1.267
2.446 0.171 -1.880 1.049
1.804 -0.038 -1.758 0.886
2.373 0.051 -2.210 0.994
1.858 -0.171 -2.082 1.092
3.335 0.453 -2.422 1.296
Fuente: Elaboración propia
CUADRO N° 6.9: DESCARGAS MEDIAS MENSUALES GENERADAS (mm) - RIO MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
Coeficientes de Regresión Múltiple:
Modelo Matemático: Año Prom. 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 MAX. MED. MIN. D.EST
Ene.
Feb.
Mar.
b1 S
3.6206 3.8917
b2 R^2
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
b3
0.6303
Oct.
Nov.
0.2384 0.9661
Qt = b1 + b2*Qt-1 + b3*PEt + Z*S*(1 - R^2)^0.5 Abr.
May.
Jun.
Jul.
Ago.
Set.
Dic.
Tot.
58.7 40.0 55.0 44.2 72.6 57.6 59.8 41.8 49.5 55.4 69.8 59.4 60.8 66.6 74.0 76.7 81.1 68.2 96.7 50.8 35.4 51.8 58.6 67.5 44.0 50.0 61.6 71.9
56.5 58.3 56.3 60.6 59.2 44.7 64.1 63.1 69.5 73.9 82.2 33.0 49.0 62.6 74.9 58.8 59.4 59.3 36.8 36.3 33.2 45.5 62.2 62.9 50.0 64.4 52.4 86.3
39.6 70.2 46.9 49.1 40.1 32.7 32.3 55.3 45.6 40.6 36.6 39.3 34.3 45.2 63.7 39.3 38.1 48.3 28.4 50.4 25.9 44.0 39.8 38.2 33.7 30.5 30.8 47.0
32.8 29.5 20.4 15.3 13.4 19.4 17.2 21.3 11.6 11.2 15.7 14.1 21.6 20.0 34.9 16.1 25.5 20.4 17.2 15.2 14.0 16.8 28.8 23.4 24.1 16.1 14.8 22.5
12.5 8.6 5.6 9.5 9.1 8.9 6.4 6.5 8.6 7.9 5.6 6.5 6.1 6.7 9.0 8.9 7.4 5.9 8.3 9.7 9.5 7.1 8.2 7.7 6.6 5.7 6.7 7.1
8.9 7.5 7.7 6.0 9.2 6.0 6.6 5.2 7.1 6.3 7.0 12.1 10.6 9.2 6.4 6.5 4.5 5.1 18.6 13.0 11.1 12.3 7.6 5.7 5.0 6.3 6.0 6.2
4.3 7.0 5.3 3.0 5.8 7.0 6.7 6.3 5.4 7.0 6.4 4.7 4.5 6.5 7.2 8.7 6.4 5.2 7.3 5.8 6.8 6.4 4.5 5.7 5.1 4.8 5.5 5.6
5.4 10.0 11.1 11.5 7.8 5.7 6.1 6.1 7.6 14.0 10.1 10.6 8.6 6.8 9.7 8.9 7.4 12.0 12.5 7.1 6.3 8.2 5.5 6.0 4.9 9.3 4.9 5.7
13.0 16.2 11.5 18.3 24.8 13.4 19.0 10.5 9.8 12.5 17.0 16.5 11.4 14.4 18.2 16.2 15.7 17.7 17.7 25.0 22.8 18.0 16.2 11.9 9.2 20.8 9.1 13.5
24.0 38.2 19.2 24.8 17.1 12.3 24.5 26.1 28.4 36.6 39.2 28.1 28.9 19.5 18.5 24.5 29.7 28.4 48.0 30.7 31.0 37.2 24.7 20.9 17.8 22.0 24.4 24.1
35.0 24.9 18.9 33.5 21.3 60.0 40.0 30.5 37.8 59.6 45.6 20.1 34.6 33.9 21.7 54.7 50.0 50.9 54.4 36.1 45.8 61.9 31.5 28.2 23.5 27.1 30.7 37.1
40.2 73.3 30.0 40.3 25.5 40.7 29.9 26.7 29.5 51.4 56.8 42.8 48.5 60.3 36.5 61.6 59.8 40.1 41.6 33.1 38.4 47.8 51.6 47.2 30.6 41.9 33.8 41.3
331.1 383.7 288.0 315.9 305.7 308.4 312.7 299.5 310.4 376.4 392.0 287.1 319.0 351.8 374.9 380.9 385.0 361.6 387.5 313.3 280.2 357.2 339.2 325.3 254.5 298.9 280.6 368.4
96.7 60.0 35.4 14.0
86.3 57.7 33.0 13.7
70.2 41.7 25.9 10.3
34.9 19.3 11.2 5.7
9.7 7.5 5.6 1.3
18.6 8.0 4.5 3.2
8.7 5.9 3.0 1.2
14.0 8.3 4.9 2.5
25.0 15.8 9.1 4.4
48.0 26.8 12.3 8.0
61.9 37.6 18.9 13.2
73.3 43.0 25.5 12.0
392.0 331.8 254.5 40.2
Fuente: Elaboración propia
CUADRO N° 6.10: DESCARGAS MEDIAS MENSUALES GENERADAS (m3/s) - RIO MUYLO
PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO : Area Año 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 MAX. MED. MIN. D.EST
Ene.
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
112.27 Km2 Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Nov.
Dic.
Prom.
30 1.731 2.384 1.913 3.145 2.494 2.590 1.811 2.143 2.401 3.022 2.572 2.633 2.885 3.206 3.324 3.512 2.955 4.189 2.199 1.533 2.245 2.540 2.926 1.906 2.165 2.668 3.116
28 2.707 2.613 2.810 2.746 2.077 2.974 2.928 3.227 3.430 3.815 1.533 2.273 2.906 3.477 2.728 2.755 2.754 1.707 1.686 1.543 2.113 2.885 2.920 2.321 2.991 2.430 4.007
31 2.944 1.967 2.059 1.681 1.373 1.353 2.317 1.911 1.704 1.534 1.646 1.440 1.895 2.671 1.646 1.595 2.023 1.189 2.114 1.084 1.846 1.668 1.601 1.415 1.278 1.292 1.969
30 1.276 0.885 0.661 0.580 0.842 0.746 0.923 0.502 0.483 0.680 0.612 0.935 0.866 1.512 0.696 1.106 0.883 0.743 0.660 0.607 0.729 1.245 1.013 1.043 0.699 0.641 0.973
31 0.362 0.234 0.399 0.382 0.371 0.267 0.274 0.358 0.330 0.235 0.271 0.257 0.283 0.377 0.373 0.311 0.248 0.350 0.406 0.398 0.299 0.342 0.324 0.278 0.239 0.280 0.296
30 0.324 0.336 0.258 0.399 0.258 0.286 0.226 0.305 0.275 0.303 0.524 0.457 0.398 0.279 0.282 0.196 0.220 0.804 0.564 0.481 0.533 0.327 0.247 0.217 0.274 0.261 0.268
31 0.293 0.221 0.126 0.241 0.292 0.279 0.265 0.228 0.295 0.268 0.195 0.190 0.274 0.302 0.364 0.270 0.219 0.308 0.241 0.286 0.268 0.191 0.238 0.212 0.202 0.232 0.236
31 0.419 0.464 0.483 0.328 0.240 0.258 0.254 0.319 0.588 0.424 0.443 0.361 0.284 0.407 0.372 0.308 0.502 0.522 0.299 0.266 0.342 0.232 0.251 0.206 0.391 0.204 0.241
30 0.702 0.498 0.793 1.073 0.580 0.824 0.456 0.426 0.541 0.737 0.717 0.495 0.623 0.790 0.701 0.680 0.767 0.766 1.082 0.986 0.781 0.702 0.516 0.399 0.900 0.393 0.587
31 1.600 0.805 1.039 0.717 0.516 1.029 1.095 1.190 1.533 1.643 1.177 1.211 0.819 0.777 1.029 1.246 1.191 2.012 1.288 1.301 1.560 1.033 0.877 0.744 0.921 1.023 1.008
30 1.080 0.820 1.449 0.921 2.597 1.734 1.319 1.639 2.580 1.975 0.870 1.500 1.470 0.941 2.371 2.166 2.206 2.358 1.563 1.983 2.681 1.366 1.220 1.018 1.173 1.329 1.607
31 (m3/s) 3.073 1.376 1.258 1.040 1.688 1.140 1.067 1.107 1.706 1.112 1.253 1.133 1.121 1.082 1.237 1.124 2.153 1.359 2.380 1.418 1.795 1.029 2.033 1.149 2.526 1.269 1.530 1.356 2.581 1.372 2.505 1.388 1.683 1.304 1.744 1.391 1.389 1.124 1.609 1.006 2.006 1.284 2.163 1.225 1.977 1.176 1.281 0.920 1.755 1.082 1.417 1.014 1.731 1.337
4.189 2.600 1.533 0.607
4.007 2.680 1.533 0.637
2.944 1.749 1.084 0.433
1.512 0.835 0.483 0.248
0.406 0.316 0.234 0.056
0.804 0.345 0.196 0.138
0.364 0.249 0.126 0.048
0.588 0.348 0.204 0.105
1.082 0.686 0.393 0.191
2.012 1.125 0.516 0.333
2.681 1.627 0.820 0.572
3.073 1.802 1.067 0.505
Fuente: Elaboración propia
CUADRO N° 6.11: ANALISIS DE FRECUENCIA DE DESCARGAS GENERADAS (m3/s) - RIO MUYLO
1.418 1.197 0.920 0.145
PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :
Orden 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 P(25%) P(50%) P(75%) P(90%) MED.
Ene.
Feb.
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
Nov.
Dic.
4.189 3.512 3.324 3.206 3.145 3.116 3.022 2.955 2.926 2.885 2.668 2.633 2.590 2.572 2.540 2.494 2.401 2.384 2.245 2.199 2.165 2.143 1.913 1.906 1.811 1.731 1.533
4.007 3.815 3.477 3.430 3.227 2.991 2.974 2.928 2.920 2.906 2.885 2.810 2.755 2.754 2.746 2.728 2.707 2.613 2.430 2.321 2.273 2.113 2.077 1.707 1.686 1.543 1.533
2.944 2.671 2.317 2.114 2.059 2.023 1.969 1.967 1.911 1.895 1.846 1.704 1.681 1.668 1.646 1.646 1.601 1.595 1.534 1.440 1.415 1.373 1.353 1.292 1.278 1.189 1.084
1.512 1.276 1.245 1.106 1.043 1.013 0.973 0.935 0.923 0.885 0.883 0.866 0.842 0.746 0.743 0.729 0.699 0.696 0.680 0.661 0.660 0.641 0.612 0.607 0.580 0.502 0.483
0.406 0.399 0.398 0.382 0.377 0.373 0.371 0.362 0.358 0.350 0.342 0.330 0.324 0.311 0.299 0.296 0.283 0.280 0.278 0.274 0.271 0.267 0.257 0.248 0.239 0.235 0.234
0.804 0.564 0.533 0.524 0.481 0.457 0.399 0.398 0.336 0.327 0.324 0.305 0.303 0.286 0.282 0.279 0.275 0.274 0.268 0.261 0.258 0.258 0.247 0.226 0.220 0.217 0.196
0.364 0.308 0.302 0.295 0.293 0.292 0.286 0.279 0.274 0.270 0.268 0.268 0.265 0.241 0.241 0.238 0.236 0.232 0.228 0.221 0.219 0.212 0.202 0.195 0.191 0.190 0.126
0.588 0.522 0.502 0.483 0.464 0.443 0.424 0.419 0.407 0.391 0.372 0.361 0.342 0.328 0.319 0.308 0.299 0.284 0.266 0.258 0.254 0.251 0.241 0.240 0.232 0.206 0.204
1.082 1.073 0.986 0.900 0.824 0.793 0.790 0.781 0.767 0.766 0.737 0.717 0.702 0.702 0.701 0.680 0.623 0.587 0.580 0.541 0.516 0.498 0.495 0.456 0.426 0.399 0.393
2.012 1.643 1.600 1.560 1.533 1.301 1.288 1.246 1.211 1.191 1.190 1.177 1.095 1.039 1.033 1.029 1.029 1.023 1.008 0.921 0.877 0.819 0.805 0.777 0.744 0.717 0.516
2.681 2.597 2.580 2.371 2.358 2.206 2.166 1.983 1.975 1.734 1.639 1.607 1.563 1.500 1.470 1.449 1.366 1.329 1.319 1.220 1.173 1.080 1.018 0.941 0.921 0.870 0.820
3.073 2.581 2.526 2.505 2.380 2.163 2.153 2.033 2.006 1.977 1.795 1.755 1.744 1.731 1.706 1.688 1.683 1.609 1.530 1.417 1.389 1.281 1.258 1.253 1.237 1.121 1.067
3.022 2.572 2.165 1.795 2.600
2.974 2.754 2.273 1.658 2.680
1.969 1.668 1.415 1.260 1.749
0.973 0.746 0.660 0.564 0.835
0.371 0.311 0.271 0.239 0.316
0.399 0.286 0.258 0.220 0.345
0.286 0.241 0.219 0.190 0.249
0.424 0.328 0.254 0.227 0.348
0.790 0.702 0.516 0.421 0.686
1.288 1.039 0.877 0.739 1.125
2.166 1.500 1.173 0.911 1.627
2.153 1.731 1.389 1.214 1.802
Fuente: Elaboración propia
Frec. 3.6 7.1 10.7 14.3 17.9 21.4 25.0 28.6 32.1 35.7 39.3 42.9 46.4 50.0 53.6 57.1 60.7 64.3 67.9 71.4 75.0 78.6 82.1 85.7 89.3 92.9 96.4
Caudal (m3/s)
Figura 6.2: Variación Mensual de la Descarga para Cuatro Niveles de Persistencia - Río Muylo 3.2 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0.0 Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Mes P(50%)
P(75%)
P(90%)
P(25%)
Nov.
Dic.
CUADRO N° ##: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA CHUMBAO PERIODO: 1970 - 1998 DEPARTAMENTO: PROVINCIA : DISTRITO :
APURIMAC ANDAHUAYLAS SAN JERONIMO
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. 1973 64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 1974 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 1975 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 1976 159.7 113.1 83.1 30.6 31.3 34.9 14.0 20.7 1977 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 1978 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 1979 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 1980 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 1981 105.8 150.8 86.4 20.3 9.3 3.3 0.0 70.4 1982 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 1983 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 1984 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 1985 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 1986 147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 1987 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 1988 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 1989 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 1990 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 1991 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 1992 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 1993 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 1994 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 1995 139.0 126.6 82.2 63.2 9.3 0.0 13.7 3.7 1996 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 1997 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 1998 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 1999 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 MAX. MED. MIN. D.EST
212.0 115.5 59.7 36.4
198.7 113.1 26.7 37.4
191.4 92.5 40.7 35.2
126.2 53.1 9.3 27.4
43.2 17.9 0.7 11.4
112.4 19.1 0.0 24.5
41.4 10.0 0.0 10.4
70.4 21.7 0.0 19.0
LATITUD : 13°39' LONGITUD : 73°22' ALTITUD MEDIA : 4,119 msnm factor 1.464 Set. Oct. Nov. Dic. Tot. 50.0 121.9 46.7 193.3 979.6 16.1 25.8 30.9 34.4 538.0 60.9 66.2 86.8 95.4 725.6 94.8 27.2 34.9 39.1 683.4 18.3 19.1 176.0 97.4 644.0 69.1 70.4 74.5 53.4 669.4 8.6 72.1 62.7 56.3 629.5 23.4 77.6 90.0 58.9 674.1 38.0 102.7 160.5 123.8 871.3 62.8 110.5 98.4 126.4 884.2 46.6 61.1 21.2 79.1 532.9 23.0 73.0 90.2 111.3 715.1 41.9 38.9 71.3 143.3 789.9 59.6 42.5 33.6 61.5 885.6 45.9 64.4 158.4 160.2 892.0 37.2 84.0 109.6 135.7 825.2 54.2 72.1 120.0 72.4 799.8 59.4 151.8 130.5 90.2 1004.5 91.5 63.9 69.2 64.3 664.7 68.7 83.9 116.9 87.2 635.2 45.9 103.9 164.4 110.1 874.9 44.9 55.8 50.0 117.4 743.7 25.7 39.5 54.8 100.4 658.1 12.8 34.9 46.7 50.0 457.2 81.9 57.6 63.9 93.5 674.0 2.6 62.2 75.7 64.5 534.0 45.5 57.7 86.1 93.1 877.2 94.8 45.5 2.6 24.3
151.8 68.2 19.1 30.8
176.0 86.1 21.2 43.7
193.3 1004.5 93.1 735.7 34.4 457.2 38.2 142.5
CUADRO N° ##: NUMEROS ALEATORIOS ENTRE 0 Y 1 CON DISTRIBUCION UNIFORME PERIODO: 1973 - 1999 Año 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
1999 MAX. MED. MIN. D.EST
Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Nov.
Dic.
Tot.
0.9210 0.1954 0.3013 0.7762 0.6737 0.3863 0.8766 0.6766 0.7540 0.3348 0.1593 0.3690 0.1604 0.2093 0.0318 0.7779 0.1789 0.1848 0.4796 0.8801 0.1390 0.6368 0.4389 0.7235 0.4290 0.4965 0.6396 0.8493 0.9210 0.4752 0.0318 0.2690
0.8096 0.9661 0.9089 0.5575 0.3090 0.4196 0.5478 0.0938 0.8951 0.7344 0.4976 0.9696 0.7451 0.7024 0.5854 0.8440 0.6833 0.0090 0.0870 0.8477 0.9880 0.2714 0.9504 0.6401 0.0748 0.7653 0.1853 0.8665 0.9880 0.5959 0.0090 0.3121
0.9063 0.9273 0.5971 0.7663 0.4109 0.8463 0.0837 0.2738 0.7675 0.0163 0.4236 0.6561 0.7327 0.7471 0.5134 0.5379 0.7461 0.0266 0.4405 0.9920 0.1343 0.1671 0.0986 0.9411 0.3108 0.4609 0.9444 0.8411 0.9920 0.5359 0.0163 0.3140
0.7790 0.0460 0.0695 0.4887 0.9786 0.6647 0.7701 0.4505 0.4820 0.1242 0.9460 0.6110 0.0459 0.2775 0.9308 0.3927 0.3909 0.2447 0.5147 0.9081 0.2249 0.1130 0.1314 0.2032 0.8283 0.5625 0.3275 0.8425 0.9786 0.4632 0.0459 0.3041
0.8899 0.2233 0.9217 0.9374 0.9188 0.4230 0.5260 0.8292 0.5036 0.0517 0.9855 0.3825 0.6306 0.3291 0.4970 0.4385 0.7976 0.2807 0.0387 0.0377 0.1599 0.7399 0.4825 0.8745 0.3822 0.9144 0.1176 0.6215 0.9855 0.5301 0.0377 0.3146
0.4619 0.5963 0.2295 0.0742 0.8578 0.9090 0.7905 0.7877 0.0104 0.5014 0.7752 0.9074 0.4255 0.5262 0.4534 0.3149 0.4046 0.2259 0.4633 0.4017 0.3905 0.8267 0.7367 0.6392 0.5041 0.8932 0.2159 0.4525 0.9090 0.5305 0.0104 0.2595
0.4119 0.8484 0.6558 0.8358 0.6958 0.7842 0.6737 0.5457 0.7387 0.7690 0.9869 0.4814 0.6324 0.5946 0.9735 0.4679 0.7431 0.6186 0.1765 0.3875 0.9474 0.8226 0.1359 0.8180 0.1978 0.9324 0.7944 0.2408 0.9869 0.6544 0.1359 0.2390
0.6705 0.8783 0.9152 0.8687 0.6922 0.9330 0.6463 0.0881 0.4775 0.4364 0.0575 0.7239 0.6601 0.7794 0.2420 0.2157 0.1637 0.5476 0.8859 0.9351 0.1691 0.7346 0.9434 0.0795 0.7830 0.7217 0.4852 0.1892 0.9434 0.5827 0.0575 0.2996
0.0799 0.8204 0.3119 0.8028 0.1284 0.9188 0.1370 0.3602 0.9031 0.2495 0.0472 0.9578 0.8454 0.6388 0.6350 0.8929 0.4895 0.9764 0.3882 0.8923 0.8077 0.2707 0.9754 0.3518 0.1139 0.0053 0.4380 0.7602 0.9764 0.5348 0.0053 0.3383
0.3204 0.7261 0.9062 0.8105 0.7612 0.7667 0.7659 0.2051 0.0813 0.4434 0.4538 0.4635 0.0864 0.8871 0.0654 0.8798 0.2156 0.1257 0.5385 0.8619 0.7071 0.1892 0.9835 0.4874 0.4951 0.9364 0.0369 0.6470 0.9835 0.5259 0.0369 0.3157
0.2987 0.4054 0.7981 0.0794 0.7307 0.4655 0.0395 0.7943 0.7471 0.6310 0.0310 0.2082 0.0468 0.5241 0.4857 0.9706 0.3477 0.2867 0.3379 0.8101 0.1273 0.3178 0.8855 0.2907 0.6795 0.1073 0.6195 0.8691 0.9706 0.4469 0.0310 0.2882
0.3972 0.3169 0.1984 0.9393 0.0234 0.5909 0.3064 0.4619 0.5675 0.1293 0.4875 0.4313 0.4491 0.7183 0.5343 0.3001 0.4298 0.2935 0.9095 0.1070 0.4653 0.7881 0.6912 0.0708 0.9638 0.1998 0.3139 0.3132 0.9638 0.4476 0.0234 0.2617
0.2739 0.8299 0.4146 0.2970 0.2760 0.9603 0.5905 0.0374 0.3447 0.1210 0.5356 0.5077 0.4279 0.7194 0.2084 0.6597 0.4802 0.5172 0.4408 0.7855 0.0839 0.0949 0.3878 0.0257 0.5823 0.6650 0.4604 0.5768
0.960 6.323 0.026 0.248
CUADRO N° ##: PRECIPITACION TOTAL MENSUAL (m.m) ESTACION LA OROYA DEPARTAMENTO: PROVINCIA : DISTRITO : Año 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 MAX. MED. MIN. D.EST
Ene. 49.3 87.9 55.7 122.0 75.2 87.1 51.0 75.3 80.8 108.7 80.4 90.7 101.8 112.8 116.7 125.1 94.5 162.0 50.2 45.6 79.4 88.1 106.2 52.9 75.6 95.7 112.9 162.0 88.3 45.6 27.8
Feb. 87.7 84.5 92.0 86.4 60.4 101.0 93.0 108.4 115.2 130.6 20.4 77.9 99.7 121.4 79.6 88.0 89.3 38.6 49.5 43.9 72.9 100.8 96.7 68.2 104.0 70.3 151.8 151.8 86.4 20.4 28.6
JUNIN YAULI LA OROYA Mar. 146.2 65.6 86.7 63.5 45.0 50.3 112.9 69.1 66.0 58.8 67.4 53.8 87.3 120.8 53.5 60.6 88.7 33.5 99.8 31.1 83.5 64.6 62.8 51.3 45.5 48.6 90.2 146.2 70.6 31.1 26.9
isoyeta
LATITUD : LONGITUD : ALTITUD :
Abr. 68.6 37.6 24.1 23.4 43.9 29.9 51.3 7.1 15.5 35.8 19.2 52.1 41.5 96.4 16.3 67.6 43.3 33.5 29.1 25.9 34.6 80.1 48.3 52.6 26.6 28.9 61.8 96.4 40.6 7.1 20.9
May. 16.6 1.1 24.4 23.9 17.1 10.2 13.0 24.1 7.1 0.5 2.2 6.0 11.1 22.2 23.4 7.8 6.9 33.0 27.1 18.9 10.7 19.8 7.1 8.6 8.0 7.3 10.7 33.0 13.7 0.5 8.7
Jun. 14.6 20.4 4.6 26.7 2.0 7.1 0.2 7.1 2.5 20.0 37.3 23.8 23.1 0.4 14.3 0.0 4.2 85.9 29.0 30.8 32.6 1.6 0.0 0.0 0.7 0.5 3.7 85.9 14.6 0.0 18.7
650 700 750 800 850 900 950
Jul. 18.0 0.6 2.2 10.7 9.4 13.7 2.2 18.0 0.0 2.4 3.6 1.6 8.4 16.0 31.6 1.4 1.5 11.9 2.4 7.9 13.3 0.0 10.5 0.0 1.5 0.0 18.4 31.6 7.7 0.0 8.0
Ago.
Set.
32.7 31.5 28.4 15.8 1.5 7.9 4.7 15.0 53.8 14.5 17.8 13.1 5.0 36.0 18.5 0.0 39.1 39.2 0.0 8.7 17.3 8.4 2.8 5.4 26.2 0.0 4.9 53.8 16.6 0.0 14.5
38.2 12.3 46.5 72.4 14.0 52.8 6.6 17.9 29.0 48.0 35.6 17.6 32.0 45.5 35.1 28.4 41.4 45.4 69.9 52.5 35.1 34.3 19.6 9.8 62.6 2.0 34.8 72.4 34.8 2.0 18.6
1.65 1070.7 58.33 40832.9 93.51 70130.1 65.75 52596.4 26.99 22938.2 41.42 37281.6 24.76 23519.6 312.4 2E+05
795
Oct. 93.1 19.7 50.6 20.8 14.6 53.8 55.1 59.3 78.5 84.4 46.7 55.8 29.7 32.5 49.2 64.2 55.1 116.0 48.8 64.1 79.4 42.6 30.2 26.7 44.0 47.5 44.1 116.0 52.1 14.6 23.5
Nov. 35.7 23.6 66.3 26.7 134.5 56.9 47.9 68.8 122.6 75.2 16.2 68.9 54.5 25.7 121.0 83.7 91.7 99.7 52.9 89.3 125.6 38.2 41.9 35.7 48.8 57.8 65.8 134.5 65.8 16.2 33.4
11°31' 75°54' 3,160 msnm Dic. 147.7 26.3 72.9 29.9 74.4 40.8 43.0 45.0 94.6 96.6 60.4 85.0 109.5 47.0 122.4 103.7 55.3 68.9 49.1 66.6 84.1 89.7 76.7 38.2 71.4 49.3 71.1 147.7 71.1 26.3 29.2
Tot. 748.4 411.1 554.4 522.2 492.0 511.5 480.9 515.1 665.6 675.5 407.2 546.3 603.6 676.7 681.6 630.5 611.0 767.6 507.8 485.3 668.5 568.2 502.8 349.4 514.9 407.9 670.2 767.6 562.1 349.4 108.9
CUADRO N° 5.6: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
factor
Año 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
MAX. MED. MIN. D.EST
Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Nov.
1.3089
Dic.
Tot.
64.5 115.0 72.9 159.7 98.4 114.0 66.8 98.6 105.8 142.3 105.2 118.7 133.2 147.6 152.7 163.7 123.7 212.0 65.7 59.7 103.9 115.3 139.0 69.2 98.9 125.3 147.8
114.8 110.6 120.4 113.1 79.1 132.2 121.7 141.9 150.8 170.9 26.7 102.0 130.5 158.9 104.2 115.2 116.9 50.5 64.8 57.5 95.4 131.9 126.6 89.3 136.1 92.0 198.7
191.4 85.9 113.5 83.1 58.9 65.8 147.8 90.4 86.4 77.0 88.2 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 59.6 63.6 118.1
89.8 49.2 31.5 30.6 57.5 39.1 67.1 9.3 20.3 46.9 25.1 68.2 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 37.8 80.9
21.7 1.4 31.9 31.3 22.4 13.4 17.0 31.5 9.3 0.7 2.9 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 10.5 9.6 14.0
19.1 26.7 6.0 34.9 2.6 9.3 0.3 9.3 3.3 26.2 48.8 31.2 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 0.7 4.8
23.6 0.8 2.9 14.0 12.3 17.9 2.9 23.6 0.0 3.1 4.7 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 2.0 0.0 24.1
42.8 41.2 37.2 20.7 2.0 10.3 6.2 19.6 70.4 19.0 23.3 17.1 6.5 47.1 24.2 0.0 51.2 51.3 0.0 11.4 22.6 11.0 3.7 7.1 34.3 0.0 6.4
50.0 16.1 60.9 94.8 18.3 69.1 8.6 23.4 38.0 62.8 46.6 23.0 41.9 59.6 45.9 37.2 54.2 59.4 91.5 68.7 45.9 44.9 25.7 12.8 81.9 2.6 45.5
121.9 25.8 66.2 27.2 19.1 70.4 72.1 77.6 102.7 110.5 61.1 73.0 38.9 42.5 64.4 84.0 72.1 151.8 63.9 83.9 103.9 55.8 39.5 34.9 57.6 62.2 57.7
46.7 30.9 86.8 34.9 176.0 74.5 62.7 90.0 160.5 98.4 21.2 90.2 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 75.7 86.1
193.3 34.4 95.4 39.1 97.4 53.4 56.3 58.9 123.8 126.4 79.1 111.3 143.3 61.5 160.2 135.7 72.4 90.2 64.3 87.2 110.1 117.4 100.4 50.0 93.5 64.5 93.1
979.6 538.1 725.6 683.5 644.0 669.5 629.4 674.2 871.2 884.1 533.0 715.0 790.0 885.7 892.1 825.2 799.7 1004.7 664.6 635.2 875.0 743.7 658.1 457.3 673.9 533.9 877.2
212.0 115.5 59.7 36.4
198.7 113.1 26.7 37.4
191.4 92.4 40.7 35.2
126.2 53.1 9.3 27.4
43.2 17.9 0.7 11.4
112.4 19.1 0.0 24.5
41.4 10.0 0.0 10.4
70.4 21.7 0.0 19.0
94.8 45.5 2.6 24.3
151.8 68.2 19.1 30.8
176.0 86.1 21.2 43.7
193.3 93.1 34.4 38.2
1004.7 735.7 457.3 142.5
Fuente: Elaboración propia
CUADRO N° 5.7: ANALISIS DE FRECUENCIAS DE PRECIPITACION - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO : Orden
Ene.
Feb.
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
Nov.
Dic.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
212.0 163.7 159.7 152.7 147.8 147.6 142.3 139.0 133.2 125.3 123.7 118.7 115.3 115.0 114.0 105.8 105.2 103.9 98.9 98.6 98.4 72.9 69.2 66.8 65.7 64.5 59.7
198.7 170.9 158.9 150.8 141.9 136.1 132.2 131.9 130.5 126.6 121.7 120.4 116.9 115.2 114.8 113.1 110.6 104.2 102.0 95.4 92.0 89.3 79.1 64.8 57.5 50.5 26.7
191.4 158.1 147.8 130.6 118.1 116.1 114.3 113.5 109.3 90.4 88.2 86.4 85.9 84.6 83.1 82.2 79.3 77.0 70.4 70.0 67.1 65.8 63.6 59.6 58.9 43.8 40.7
126.2 104.8 89.8 88.5 80.9 68.8 68.2 67.1 63.2 57.5 56.7 54.3 49.2 46.9 45.3 43.8 39.1 38.1 37.8 34.8 33.9 31.5 30.6 25.1 21.3 20.3 9.3
43.2 35.5 31.9 31.5 31.3 30.6 29.1 25.9 24.7 22.4 21.7 17.0 14.5 14.0 14.0 13.4 11.3 10.5 10.2 9.6 9.3 9.3 9.0 7.9 2.9 1.4 0.7
112.4 48.8 42.7 40.3 38.0 34.9 31.2 30.2 26.7 26.2 19.1 18.7 9.3 9.3 6.0 5.5 4.8 3.3 2.6 2.1 0.9 0.7 0.5 0.3 0.0 0.0 0.0
41.4 24.1 23.6 23.6 20.9 17.9 17.4 15.6 14.0 13.7 12.3 11.0 10.3 4.7 3.1 3.1 2.9 2.9 2.1 2.0 2.0 1.8 0.8 0.0 0.0 0.0 0.0
70.4 51.3 51.2 47.1 42.8 41.2 37.2 34.3 24.2 23.3 22.6 20.7 19.6 19.0 17.1 11.4 11.0 10.3 7.1 6.5 6.4 6.2 3.7 2.0 0.0 0.0 0.0
94.8 91.5 81.9 69.1 68.7 62.8 60.9 59.6 59.4 54.2 50.0 46.6 45.9 45.9 45.5 44.9 41.9 38.0 37.2 25.7 23.4 23.0 18.3 16.1 12.8 8.6 2.6
151.8 121.9 110.5 103.9 102.7 84.0 83.9 77.6 73.0 72.1 72.1 70.4 66.2 64.4 63.9 62.2 61.1 57.7 57.6 55.8 42.5 39.5 38.9 34.9 27.2 25.8 19.1
176.0 164.4 160.5 158.4 130.5 120.0 116.9 109.6 98.4 90.2 90.0 86.8 86.1 75.7 74.5 71.3 69.2 63.9 62.7 54.8 50.0 46.7 46.7 34.9 33.6 30.9 21.2
193.3 160.2 143.3 135.7 126.4 123.8 117.4 111.3 110.1 100.4 97.4 95.4 93.5 93.1 90.2 87.2 79.1 72.4 64.5 64.3 61.5 58.9 56.3 53.4 50.0 39.1 34.4
P(25%) P(50%) P(75%) P(90%) MED.
142.3 115.0 98.4 65.5 115.5
132.2 115.2 92.0 56.1 113.1
114.3 84.6 67.1 55.9 92.4
68.2 46.9 33.9 21.1 53.1
29.1 14.0 9.3 2.6 17.9
31.2 9.3 0.9 0.0 19.1
17.4 4.7 2.0 0.0 10.0
37.2 19.0 6.4 0.0 21.7
60.9 45.9 23.4 12.0 45.5
83.9 64.4 42.5 26.9 68.2
116.9 75.7 50.0 33.1 86.1
117.4 93.1 61.5 47.8 93.1
Fuente: Elaboración propia
Frec. 3.6 7.1 10.7 14.3 17.9 21.4 25.0 28.6 32.1 35.7 39.3 42.9 46.4 50.0 53.6 57.1 60.7 64.3 67.9 71.4 75.0 78.6 82.1 85.7 89.3 92.9 96.4
1 Figura 5.4: Serie Histórica de Precipitación Generada - Microcuenca Muylo
250
150
1 100
50
0 1973
1986
1999
Tiempo (años)
1
Figura 5.5: Variación Mensual de la Precipitación para Cuatro Niveles de Persistencia - Microcuenca Muylo 150
125
Precipitación (mm)
Precipitación (mm)
200
1
100
75
50
25
1
0 Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Mes 25%
50%
75%
90%
Oct.
Nov.
Dic.
1
1
1
1
1
1
1
1
1
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. 1973
1974
1975
1976
64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 50.0 121.9 46.7 193.3 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 16.1 25.8 30.9 34.4 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 60.9 66.2 86.8 95.4 159.7 113.1 83.1 30.6 31.3 34.9
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
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
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
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
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
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
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
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
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
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
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
1977 142.5
1978
1979
1980
1981
14.0 20.7 94.8 27.2 34.9 39.1 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 18.3 19.1 176.0 97.4 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 69.1 70.4 74.5 53.4 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 8.6 72.1 62.7 56.3 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 23.4 77.6 90.0 58.9 105.8 150.8 86.4
1982
1983
1984
1985
20.3 9.3 3.3 0.0 70.4 38.0 102.7 160.5 123.8 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 62.8 110.5 98.4 126.4 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 46.6 61.1 21.2 79.1 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 23.0 73.0 90.2 111.3 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 41.9 38.9 71.3 143.3
1986
1987
1988
1989
1990
147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 59.6 42.5 33.6 61.5 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 45.9 64.4 158.4 160.2 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 37.2 84.0 109.6 135.7 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 54.2 72.1 120.0 72.4 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 59.4
1991
1992
1993
1994
1995
151.8 130.5 90.2 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 91.5 63.9 69.2 64.3 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 68.7 83.9 116.9 87.2 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 45.9 103.9 164.4 110.1 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 44.9 55.8 50.0 117.4 139.0 126.6 82.2 63.2 9.3 0.0
1996
1997
1998
1999
13.7 3.7 25.7 39.5 54.8 100.4 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 12.8 34.9 46.7 50.0 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 81.9 57.6 63.9 93.5 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 2.6 62.2 75.7 64.5 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 45.5 57.7 86.1 93.1
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Cuadro N° 6.1: Precipitación Efectiva según el Bureao of Reclamation
0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0 110.0 120.0 130.0 140.0 150.0 160.0 170.0 180.0
P. Efectiva: PE (mm) Curva I Curva II Curva III 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 4.0 0.0 3.0 6.0 0.5 4.0 8.0 1.0 6.0 11.0 1.5 8.0 14.0 3.0 10.0 18.0 4.0 14.0 24.0 5.5 18.0 30.0 8.0 23.0 39.0 11.0 29.0 48.0 15.0 36.0 58.0 19.0 43.0 68.0 24.0 52.0 78.0 30.0 60.0 88.0 37.0 69.0 98.0 45.0 79.0 108.0 55.0 89.0 118.0
Figura 6.1: Porción de Precipitación Efectiva Según Bureao Of Reclamation
140.0 Precipitación Efectiva (mm)
P mm
120.0 100.0 80.0 60.0
40.0 20.0 0.0 0.0
20.0
40.0
60.0
80.0
100.0 120.0 140.0 160.0 180.0
Precipitación Mensual (mm) Curva I
Curva II
Curva III
Cuadro N° 6.2: Cálculo del Coeficiente de Escorrentía
Método de la Misión Alemana Precipitación Media Anual: P Evaporación Total Anual: ETP Coeficiente de Escorrentía: C
Método de L - Turc 735.7
mm
1002.2
mm
0.63
Temperatura Media Anual: T Coeficiente de Temperatura: L Déficit de Escurrimiento: D Coeficiente de Escorrentía: C
Cuadro N° 6.3: Características Generales de la Microcuenca
Area de la Microcuenca: A Altitud Media de la Microcuenca: H Pendiente Media de la Microcuenca Precipitación Media Anual: P Evaporación Total Anual: ETP Temperatura Media Anual: T Déficit de Escurrimiento: D Coeficiente de Escorrentía: C Coeficiente de Agotamiento: a Relación de Caudales (30 días): bo Area de lagunas y acuíferos Gasto Mensual de Retención: R
112.27 Km2 4136 msnm 0.38 m/m 735.7 mm 1002.2 mm 6.4 °C 403.9 mm/año 0.45 0.0181 0.581 15 Km2 40.1 mm/año
6.4
°C
473.1 403.9
mm/año
0.45
Cuadro N° 6.4: Coeficientes de Cálculo - Precipitación Efectiva Coef.
a0 a1 a2 a3 a4 a5
Curva I
Curva II Curva III
-0.047000 -0.106500 -0.417700 0.009400
0.147700
0.379500
-0.000500 -0.002900 -0.010100 0.000020
0.000050
0.000200
-5.00E-08 -2.00E-07 -9.00E-07 2.00E-10
2.00E-10
1.00E-09
El rango de aplicación de los coeficientes de la ecuación Polinómica de la PE está comprendida para 0 < P < 250 mm
CUADRO N° 6.5: GENERACION DE CAUDALES MEDIOS MENSUALES PARA EL AÑO PROMEDIO
MES 1
N° días del mes 2
Enero Febrero Marzo Abril Mayo Junio Julio Agosto Setiem. Octubre Noviem. Diciem.
30 28 31 30 31 30 31 31 30 31 30 31
AÑO
PRECIPITACION MENSUAL P Efectiva Total PE II PE III
PE
mm/mes
mm/mes
mm/mes
mm/mes
3
4
5
6
CONTRIBUCION DE LA RETENCION Gasto Abastecimiento bi Gi ai Ai mm/mes
7
8
9
CAUDALES GENERADOS
mm/mes
mm/mes
m3/s
10
11
12
115.5 113.1 92.4 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1
23.8 22.8 15.0 5.5 1.9 2.0 1.1 2.2 4.5 8.3 13.0 15.2
77.2 73.9 47.3 14.5 4.2 4.4 2.6 4.9 11.1 23.9 40.3 48.1
72.4 69.3 44.4 13.7 4.0 4.2 2.4 4.7 10.5 22.5 37.8 45.2
0.000 0.000 0.000 0.581 0.325 0.196 0.106 0.060 0.038 0.020 0.000 0.000
0.0 0.0 0.0 17.5 9.8 5.9 3.2 1.8 1.2 0.6 0.0 0.0
0.219 0.209 0.134 0.041 0.012 0.013 0.007 0.014 0.032 0.068 0.114 0.136
8.8 8.4 5.4 1.7 0.5 0.5 0.3 0.6 1.3 2.7 4.6 5.5
63.6 60.9 39.0 29.6 13.3 9.6 5.3 5.9 10.4 20.4 33.3 39.7
2.76 2.83 1.64 1.28 0.56 0.42 0.22 0.25 0.45 0.85 1.44 1.66
735.7
115.4
352.5
331.1
1.327
40.1
1.000
40.1
331.1
1.20
0.45
0.090
0.910
1.000
Coeficientes Fuente: Elaboración propia
CUADRO N° 6.6: CALCULO DE LOS COEFICIENTES DE CORRELACION PARA EL AÑO PROMEDIO Qt 63.6 60.9 39.0 29.6 13.3 9.6 5.3 5.9 10.4 20.4 33.3 39.7
Qt-1
PE
39.7 63.6 60.9 39.0 29.6 13.3 9.6 5.3 5.9 10.4 20.4 33.3
Fuente: Elaboración propia
72.4 69.3 44.4 13.7 4.0 4.2 2.4 4.7 10.5 22.5 37.8 45.2
Resultado de la regresión Constante 3.6206 Error típico de est Y 3.8917 R cuadrado 0.9661 Nº de observaciones 12 Grados de libertad 9 Coeficientes X 0.2384 Error típico del coef 0.0899
0.6303 0.0712
CUADRO N° 6.7: PRECIPITACION EFECTIVA MENSUAL GENERADA (m.m) - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO : Año 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 MAX. MED. MIN. D.EST
Ene.
Feb.
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
Nov.
Dic.
Tot.
37.3 66.4 42.1 92.3 56.8 65.9 38.6 57.0 61.1 82.2 60.8 68.6 77.0 85.3 88.2 94.6 71.5 122.5 38.0 34.5 60.0 66.6 80.3 40.0 57.1 72.4 85.4
65.3 62.9 68.5 64.3 45.0 75.2 69.2 80.7 85.8 97.2 15.2 58.0 74.2 90.4 59.3 65.5 66.5 28.7 36.9 32.7 54.3 75.0 72.0 50.8 77.4 52.3 113.0
93.4 41.9 55.4 40.5 28.7 32.1 72.1 44.1 42.2 37.6 43.0 34.3 55.8 77.1 34.2 38.7 56.6 21.4 63.7 19.9 53.3 41.3 40.1 32.7 29.1 31.0 57.6
29.4 16.1 10.3 10.0 18.8 12.8 22.0 3.0 6.7 15.4 8.2 22.4 17.8 41.4 7.0 29.0 18.6 14.4 12.5 11.1 14.8 34.4 20.7 22.6 11.4 12.4 26.5
3.7 0.2 5.5 5.4 3.8 2.3 2.9 5.4 1.6 0.1 0.5 1.4 2.5 5.0 5.2 1.7 1.5 7.4 6.1 4.2 2.4 4.4 1.6 1.9 1.8 1.6 2.4
3.4 4.7 1.1 6.2 0.5 1.6 0.1 1.6 0.6 4.6 8.7 5.5 5.4 0.1 3.3 0.0 1.0 19.9 6.7 7.1 7.6 0.4 0.0 0.0 0.2 0.1 0.9
3.0 0.1 0.4 1.8 1.6 2.3 0.4 3.0 0.0 0.4 0.6 0.3 1.4 2.7 5.3 0.2 0.3 2.0 0.4 1.3 2.2 0.0 1.8 0.0 0.3 0.0 3.1
8.1 7.8 7.0 3.9 0.4 1.9 1.2 3.7 13.3 3.6 4.4 3.2 1.2 8.9 4.6 0.0 9.7 9.7 0.0 2.2 4.3 2.1 0.7 1.3 6.5 0.0 1.2
14.8 4.8 18.0 28.0 5.4 20.4 2.5 6.9 11.2 18.5 13.8 6.8 12.4 17.6 13.5 11.0 16.0 17.5 27.0 20.3 13.5 13.2 7.6 3.8 24.2 0.8 13.4
47.6 10.1 25.9 10.6 7.5 27.5 28.2 30.3 40.1 43.2 23.9 28.5 15.2 16.6 25.2 32.8 28.2 59.3 25.0 32.8 40.6 21.8 15.4 13.6 22.5 24.3 22.5
21.6 14.3 40.2 16.2 81.5 34.5 29.0 41.7 74.4 45.6 9.8 41.8 33.0 15.6 73.4 50.8 55.6 60.5 32.1 54.2 76.2 23.2 25.4 21.6 29.6 35.1 39.9
94.9 16.9 46.9 19.2 47.8 26.2 27.7 28.9 60.8 62.1 38.8 54.7 70.4 30.2 78.7 66.6 35.6 44.3 31.6 42.8 54.1 57.7 49.3 24.6 45.9 31.7 45.7
422.6 246.3 321.2 298.4 297.9 302.8 293.8 306.5 397.7 410.5 227.7 325.5 366.2 390.8 397.8 391.0 361.0 407.6 279.9 263.1 383.3 340.0 314.9 213.0 305.9 261.7 411.7
122.5 66.7 34.5 21.0
113.0 64.3 15.2 21.3
93.4 45.1 19.9 17.2
41.4 17.4 3.0 9.0
7.4 3.1 0.1 1.9
19.9 3.4 0.0 4.3
5.3 1.3 0.0 1.3
13.3 4.1 0.0 3.6
28.0 13.4 0.8 7.2
59.3 26.6 7.5 12.0
81.5 39.9 9.8 20.2
94.9 45.7 16.9 18.7
422.6 331.1 213.0 61.4
Fuente: Elaboración propia
CUADRO N° 6.8: NUMEROS ALEATORIOS GENERADOS CON DISTRIBUCION NORMAL PERIODO: 1973 - 1999 Año 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 MAX. MED. MIN. D.EST
Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Nov.
Dic.
-1.5966 0.0105 1.2152 0.4135 1.1343 1.2940 -0.5380 -0.0281 2.0798 1.5612 1.1253 -0.2910 -0.0233 1.0737 -0.1983 -0.6155 0.3218 -0.5111 0.2263 -2.8984 2.7165 0.9527 -0.9392 -1.3015 -0.1869 0.5839 -0.2743
0.0877 -1.2520 0.4687 0.7820 -1.8866 3.3463 0.7640 -0.0294 -0.5048 -0.4666 0.3445 1.2540 0.7413 -0.8534 -0.0991 0.5819 -0.4926 1.2570 0.9882 0.4776 -0.3105 0.5397 -1.2930 -0.8747 0.1235 0.5272 -1.4116
-2.3904 0.2171 -0.8456 -1.1063 2.0323 0.8647 -2.1026 1.3944 -0.5833 -0.5615 -0.2926 -0.3981 -2.4322 0.9921 -1.4990 0.9618 -0.1904 -0.3120 -0.1751 -3.2016 0.9035 -0.4790 -0.2745 0.5360 0.6896 0.5156 -0.4391
-0.7550 -0.5433 0.3683 -0.2680 1.0444 1.2500 -0.4054 1.3643 0.8015 -0.3720 2.2076 0.7117 -0.0054 0.6119 -0.3861 -0.2981 -1.4572 -0.5204 -0.4812 -0.3364 0.7106 -0.7509 -0.2154 0.9330 -0.5657 -0.6806 -1.9478
-0.4466 -0.3381 1.5782 -0.2134 0.9040 -1.1365 -0.6222 -0.0370 1.6967 0.0536 1.6588 0.1478 0.1338 0.8652 -0.2292 0.7943 -0.6208 -1.8799 0.3291 1.2483 -0.3804 0.0763 1.6186 -0.0735 -0.8743 0.9193 0.4749
-0.5589 -0.8931 -0.2601 0.3693 -0.2176 0.7473 -0.0107 1.6010 0.9477 -1.4942 1.8781 0.7956 -0.4700 0.7960 -1.0239 -0.8993 -0.3268 1.6165 1.0280 -0.1691 1.7623 1.0703 0.4031 0.0471 1.9618 1.1360 0.8444
0.5912 -0.0941 -2.9578 0.3989 1.3658 -0.1073 1.2196 -2.2418 2.9724 1.1692 -1.2175 -0.5205 1.3301 0.4671 -0.0141 0.8579 -0.1383 1.7021 0.1911 1.3768 -0.3663 -0.8323 -0.1998 0.1307 -0.2437 1.0753 -1.7578
-0.0289 0.2287 1.1470 -1.4225 -0.0089 -0.0938 0.3394 0.3014 0.2772 1.2333 2.4458 0.5992 0.4522 -1.5919 0.0807 2.2559 0.6889 -0.1901 0.7741 -0.4863 0.4761 -1.8798 0.8548 -1.3836 0.6130 -1.3536 0.2782
0.2563 1.4146 0.8752 -1.1822 0.6460 -0.8834 1.0837 -0.9036 -0.7543 -1.7584 0.2774 -0.5759 0.3454 0.1545 -0.4402 1.8038 0.3688 -1.6973 0.1678 0.5569 0.6188 -0.0859 -0.4938 0.5154 -0.3700 0.0180 -0.9800
-1.6837 0.1854 0.3940 1.2195 -0.1192 0.9089 -1.5326 -0.8080 1.2438 -0.4950 0.0868 0.8457 -0.7761 -0.2919 0.9030 -0.6143 -0.0544 0.3068 -0.1188 -0.7975 0.8545 -2.2105 2.3731 0.7651 -0.0862 0.3067 0.5708
-0.9332 0.4906 -0.0317 -0.7473 -0.1762 0.5041 -1.4284 0.9567 0.0612 -1.3314 -0.8268 -0.1815 1.7475 0.2908 -0.4385 1.8579 0.4862 0.8003 -1.0215 -0.7948 -0.9094 -2.0135 1.4402 -0.6483 -1.1250 -2.0816 1.4355
0.3884 -2.4223 -0.0639 0.1751 1.1980 0.0432 -2.0015 1.7862 3.3345 2.4762 1.6390 0.3038 1.0055 -0.7297 -0.4770 -0.7686 -0.1924 0.6873 -0.4340 -0.1910 1.3865 0.3222 0.2050 0.3117 2.8090 0.3229 1.1164
2.717 0.197 -2.898 1.180
3.346 0.104 -1.887 1.063
2.032 -0.303 -3.202 1.243
2.208 0.001 -1.948 0.916
1.697 0.209 -1.880 0.909
1.962 0.396 -1.494 0.967
2.972 0.154 -2.958 1.267
2.446 0.171 -1.880 1.049
1.804 -0.038 -1.758 0.886
2.373 0.051 -2.210 0.994
1.858 -0.171 -2.082 1.092
3.335 0.453 -2.422 1.296
Fuente: Elaboración propia
CUADRO N° 6.9: DESCARGAS MEDIAS MENSUALES GENERADAS (mm) - RIO MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
Coeficientes de Regresión Múltiple:
Modelo Matemático: Año Prom. 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 MAX. MED. MIN. D.EST
Ene.
Feb.
Mar.
b1 S
3.6206 3.8917
b2 R^2
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
b3
0.6303
Oct.
Nov.
0.2384 0.9661
Qt = b1 + b2*Qt-1 + b3*PEt + Z*S*(1 - R^2)^0.5 Abr.
May.
Jun.
Jul.
Ago.
Set.
Dic.
Tot.
58.7 40.0 55.0 44.2 72.6 57.6 59.8 41.8 49.5 55.4 69.8 59.4 60.8 66.6 74.0 76.7 81.1 68.2 96.7 50.8 35.4 51.8 58.6 67.5 44.0 50.0 61.6 71.9
56.5 58.3 56.3 60.6 59.2 44.7 64.1 63.1 69.5 73.9 82.2 33.0 49.0 62.6 74.9 58.8 59.4 59.3 36.8 36.3 33.2 45.5 62.2 62.9 50.0 64.4 52.4 86.3
39.6 70.2 46.9 49.1 40.1 32.7 32.3 55.3 45.6 40.6 36.6 39.3 34.3 45.2 63.7 39.3 38.1 48.3 28.4 50.4 25.9 44.0 39.8 38.2 33.7 30.5 30.8 47.0
32.8 29.5 20.4 15.3 13.4 19.4 17.2 21.3 11.6 11.2 15.7 14.1 21.6 20.0 34.9 16.1 25.5 20.4 17.2 15.2 14.0 16.8 28.8 23.4 24.1 16.1 14.8 22.5
12.5 8.6 5.6 9.5 9.1 8.9 6.4 6.5 8.6 7.9 5.6 6.5 6.1 6.7 9.0 8.9 7.4 5.9 8.3 9.7 9.5 7.1 8.2 7.7 6.6 5.7 6.7 7.1
8.9 7.5 7.7 6.0 9.2 6.0 6.6 5.2 7.1 6.3 7.0 12.1 10.6 9.2 6.4 6.5 4.5 5.1 18.6 13.0 11.1 12.3 7.6 5.7 5.0 6.3 6.0 6.2
4.3 7.0 5.3 3.0 5.8 7.0 6.7 6.3 5.4 7.0 6.4 4.7 4.5 6.5 7.2 8.7 6.4 5.2 7.3 5.8 6.8 6.4 4.5 5.7 5.1 4.8 5.5 5.6
5.4 10.0 11.1 11.5 7.8 5.7 6.1 6.1 7.6 14.0 10.1 10.6 8.6 6.8 9.7 8.9 7.4 12.0 12.5 7.1 6.3 8.2 5.5 6.0 4.9 9.3 4.9 5.7
13.0 16.2 11.5 18.3 24.8 13.4 19.0 10.5 9.8 12.5 17.0 16.5 11.4 14.4 18.2 16.2 15.7 17.7 17.7 25.0 22.8 18.0 16.2 11.9 9.2 20.8 9.1 13.5
24.0 38.2 19.2 24.8 17.1 12.3 24.5 26.1 28.4 36.6 39.2 28.1 28.9 19.5 18.5 24.5 29.7 28.4 48.0 30.7 31.0 37.2 24.7 20.9 17.8 22.0 24.4 24.1
35.0 24.9 18.9 33.5 21.3 60.0 40.0 30.5 37.8 59.6 45.6 20.1 34.6 33.9 21.7 54.7 50.0 50.9 54.4 36.1 45.8 61.9 31.5 28.2 23.5 27.1 30.7 37.1
40.2 73.3 30.0 40.3 25.5 40.7 29.9 26.7 29.5 51.4 56.8 42.8 48.5 60.3 36.5 61.6 59.8 40.1 41.6 33.1 38.4 47.8 51.6 47.2 30.6 41.9 33.8 41.3
331.1 383.7 288.0 315.9 305.7 308.4 312.7 299.5 310.4 376.4 392.0 287.1 319.0 351.8 374.9 380.9 385.0 361.6 387.5 313.3 280.2 357.2 339.2 325.3 254.5 298.9 280.6 368.4
96.7 60.0 35.4 14.0
86.3 57.7 33.0 13.7
70.2 41.7 25.9 10.3
34.9 19.3 11.2 5.7
9.7 7.5 5.6 1.3
18.6 8.0 4.5 3.2
8.7 5.9 3.0 1.2
14.0 8.3 4.9 2.5
25.0 15.8 9.1 4.4
48.0 26.8 12.3 8.0
61.9 37.6 18.9 13.2
73.3 43.0 25.5 12.0
392.0 331.8 254.5 40.2
Fuente: Elaboración propia
CUADRO N° 6.10: DESCARGAS MEDIAS MENSUALES GENERADAS (m3/s) - RIO MUYLO
PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO : Area Año 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 MAX. MED. MIN. D.EST
Ene.
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
112.27 Km2 Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Nov.
Dic.
Prom.
30 1.731 2.384 1.913 3.145 2.494 2.590 1.811 2.143 2.401 3.022 2.572 2.633 2.885 3.206 3.324 3.512 2.955 4.189 2.199 1.533 2.245 2.540 2.926 1.906 2.165 2.668 3.116
28 2.707 2.613 2.810 2.746 2.077 2.974 2.928 3.227 3.430 3.815 1.533 2.273 2.906 3.477 2.728 2.755 2.754 1.707 1.686 1.543 2.113 2.885 2.920 2.321 2.991 2.430 4.007
31 2.944 1.967 2.059 1.681 1.373 1.353 2.317 1.911 1.704 1.534 1.646 1.440 1.895 2.671 1.646 1.595 2.023 1.189 2.114 1.084 1.846 1.668 1.601 1.415 1.278 1.292 1.969
30 1.276 0.885 0.661 0.580 0.842 0.746 0.923 0.502 0.483 0.680 0.612 0.935 0.866 1.512 0.696 1.106 0.883 0.743 0.660 0.607 0.729 1.245 1.013 1.043 0.699 0.641 0.973
31 0.362 0.234 0.399 0.382 0.371 0.267 0.274 0.358 0.330 0.235 0.271 0.257 0.283 0.377 0.373 0.311 0.248 0.350 0.406 0.398 0.299 0.342 0.324 0.278 0.239 0.280 0.296
30 0.324 0.336 0.258 0.399 0.258 0.286 0.226 0.305 0.275 0.303 0.524 0.457 0.398 0.279 0.282 0.196 0.220 0.804 0.564 0.481 0.533 0.327 0.247 0.217 0.274 0.261 0.268
31 0.293 0.221 0.126 0.241 0.292 0.279 0.265 0.228 0.295 0.268 0.195 0.190 0.274 0.302 0.364 0.270 0.219 0.308 0.241 0.286 0.268 0.191 0.238 0.212 0.202 0.232 0.236
31 0.419 0.464 0.483 0.328 0.240 0.258 0.254 0.319 0.588 0.424 0.443 0.361 0.284 0.407 0.372 0.308 0.502 0.522 0.299 0.266 0.342 0.232 0.251 0.206 0.391 0.204 0.241
30 0.702 0.498 0.793 1.073 0.580 0.824 0.456 0.426 0.541 0.737 0.717 0.495 0.623 0.790 0.701 0.680 0.767 0.766 1.082 0.986 0.781 0.702 0.516 0.399 0.900 0.393 0.587
31 1.600 0.805 1.039 0.717 0.516 1.029 1.095 1.190 1.533 1.643 1.177 1.211 0.819 0.777 1.029 1.246 1.191 2.012 1.288 1.301 1.560 1.033 0.877 0.744 0.921 1.023 1.008
30 1.080 0.820 1.449 0.921 2.597 1.734 1.319 1.639 2.580 1.975 0.870 1.500 1.470 0.941 2.371 2.166 2.206 2.358 1.563 1.983 2.681 1.366 1.220 1.018 1.173 1.329 1.607
31 (m3/s) 3.073 1.376 1.258 1.040 1.688 1.140 1.067 1.107 1.706 1.112 1.253 1.133 1.121 1.082 1.237 1.124 2.153 1.359 2.380 1.418 1.795 1.029 2.033 1.149 2.526 1.269 1.530 1.356 2.581 1.372 2.505 1.388 1.683 1.304 1.744 1.391 1.389 1.124 1.609 1.006 2.006 1.284 2.163 1.225 1.977 1.176 1.281 0.920 1.755 1.082 1.417 1.014 1.731 1.337
4.189 2.600 1.533 0.607
4.007 2.680 1.533 0.637
2.944 1.749 1.084 0.433
1.512 0.835 0.483 0.248
0.406 0.316 0.234 0.056
0.804 0.345 0.196 0.138
0.364 0.249 0.126 0.048
0.588 0.348 0.204 0.105
1.082 0.686 0.393 0.191
2.012 1.125 0.516 0.333
2.681 1.627 0.820 0.572
3.073 1.802 1.067 0.505
Fuente: Elaboración propia
CUADRO N° 6.11: ANALISIS DE FRECUENCIA DE DESCARGAS GENERADAS (m3/s) - RIO MUYLO
1.418 1.197 0.920 0.145
PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :
Orden 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 P(25%) P(50%) P(75%) P(90%) MED.
Ene.
Feb.
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
Nov.
Dic.
4.189 3.512 3.324 3.206 3.145 3.116 3.022 2.955 2.926 2.885 2.668 2.633 2.590 2.572 2.540 2.494 2.401 2.384 2.245 2.199 2.165 2.143 1.913 1.906 1.811 1.731 1.533
4.007 3.815 3.477 3.430 3.227 2.991 2.974 2.928 2.920 2.906 2.885 2.810 2.755 2.754 2.746 2.728 2.707 2.613 2.430 2.321 2.273 2.113 2.077 1.707 1.686 1.543 1.533
2.944 2.671 2.317 2.114 2.059 2.023 1.969 1.967 1.911 1.895 1.846 1.704 1.681 1.668 1.646 1.646 1.601 1.595 1.534 1.440 1.415 1.373 1.353 1.292 1.278 1.189 1.084
1.512 1.276 1.245 1.106 1.043 1.013 0.973 0.935 0.923 0.885 0.883 0.866 0.842 0.746 0.743 0.729 0.699 0.696 0.680 0.661 0.660 0.641 0.612 0.607 0.580 0.502 0.483
0.406 0.399 0.398 0.382 0.377 0.373 0.371 0.362 0.358 0.350 0.342 0.330 0.324 0.311 0.299 0.296 0.283 0.280 0.278 0.274 0.271 0.267 0.257 0.248 0.239 0.235 0.234
0.804 0.564 0.533 0.524 0.481 0.457 0.399 0.398 0.336 0.327 0.324 0.305 0.303 0.286 0.282 0.279 0.275 0.274 0.268 0.261 0.258 0.258 0.247 0.226 0.220 0.217 0.196
0.364 0.308 0.302 0.295 0.293 0.292 0.286 0.279 0.274 0.270 0.268 0.268 0.265 0.241 0.241 0.238 0.236 0.232 0.228 0.221 0.219 0.212 0.202 0.195 0.191 0.190 0.126
0.588 0.522 0.502 0.483 0.464 0.443 0.424 0.419 0.407 0.391 0.372 0.361 0.342 0.328 0.319 0.308 0.299 0.284 0.266 0.258 0.254 0.251 0.241 0.240 0.232 0.206 0.204
1.082 1.073 0.986 0.900 0.824 0.793 0.790 0.781 0.767 0.766 0.737 0.717 0.702 0.702 0.701 0.680 0.623 0.587 0.580 0.541 0.516 0.498 0.495 0.456 0.426 0.399 0.393
2.012 1.643 1.600 1.560 1.533 1.301 1.288 1.246 1.211 1.191 1.190 1.177 1.095 1.039 1.033 1.029 1.029 1.023 1.008 0.921 0.877 0.819 0.805 0.777 0.744 0.717 0.516
2.681 2.597 2.580 2.371 2.358 2.206 2.166 1.983 1.975 1.734 1.639 1.607 1.563 1.500 1.470 1.449 1.366 1.329 1.319 1.220 1.173 1.080 1.018 0.941 0.921 0.870 0.820
3.073 2.581 2.526 2.505 2.380 2.163 2.153 2.033 2.006 1.977 1.795 1.755 1.744 1.731 1.706 1.688 1.683 1.609 1.530 1.417 1.389 1.281 1.258 1.253 1.237 1.121 1.067
3.022 2.572 2.165 1.795 2.600
2.974 2.754 2.273 1.658 2.680
1.969 1.668 1.415 1.260 1.749
0.973 0.746 0.660 0.564 0.835
0.371 0.311 0.271 0.239 0.316
0.399 0.286 0.258 0.220 0.345
0.286 0.241 0.219 0.190 0.249
0.424 0.328 0.254 0.227 0.348
0.790 0.702 0.516 0.421 0.686
1.288 1.039 0.877 0.739 1.125
2.166 1.500 1.173 0.911 1.627
2.153 1.731 1.389 1.214 1.802
Fuente: Elaboración propia
Frec. 3.6 7.1 10.7 14.3 17.9 21.4 25.0 28.6 32.1 35.7 39.3 42.9 46.4 50.0 53.6 57.1 60.7 64.3 67.9 71.4 75.0 78.6 82.1 85.7 89.3 92.9 96.4
Caudal (m3/s)
Figura 6.2: Variación Mensual de la Descarga para Cuatro Niveles de Persistencia - Río Muylo 3.2 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0.0 Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Mes P(50%)
P(75%)
P(90%)
P(25%)
Nov.
Dic.
CUADRO N° ##: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA CHUMBAO PERIODO: 1970 - 1998 DEPARTAMENTO: PROVINCIA : DISTRITO :
APURIMAC ANDAHUAYLAS SAN JERONIMO
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. 1973 64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 1974 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 1975 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 1976 159.7 113.1 83.1 30.6 31.3 34.9 14.0 20.7 1977 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 1978 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 1979 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 1980 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 1981 105.8 150.8 86.4 20.3 9.3 3.3 0.0 70.4 1982 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 1983 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 1984 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 1985 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 1986 147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 1987 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 1988 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 1989 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 1990 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 1991 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 1992 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 1993 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 1994 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 1995 139.0 126.6 82.2 63.2 9.3 0.0 13.7 3.7 1996 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 1997 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 1998 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 1999 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 MAX. MED. MIN. D.EST
212.0 115.5 59.7 36.4
198.7 113.1 26.7 37.4
191.4 92.5 40.7 35.2
126.2 53.1 9.3 27.4
43.2 17.9 0.7 11.4
112.4 19.1 0.0 24.5
41.4 10.0 0.0 10.4
70.4 21.7 0.0 19.0
LATITUD : 13°39' LONGITUD : 73°22' ALTITUD MEDIA : 4,119 msnm factor 1.464 Set. Oct. Nov. Dic. Tot. 50.0 121.9 46.7 193.3 979.6 16.1 25.8 30.9 34.4 538.0 60.9 66.2 86.8 95.4 725.6 94.8 27.2 34.9 39.1 683.4 18.3 19.1 176.0 97.4 644.0 69.1 70.4 74.5 53.4 669.4 8.6 72.1 62.7 56.3 629.5 23.4 77.6 90.0 58.9 674.1 38.0 102.7 160.5 123.8 871.3 62.8 110.5 98.4 126.4 884.2 46.6 61.1 21.2 79.1 532.9 23.0 73.0 90.2 111.3 715.1 41.9 38.9 71.3 143.3 789.9 59.6 42.5 33.6 61.5 885.6 45.9 64.4 158.4 160.2 892.0 37.2 84.0 109.6 135.7 825.2 54.2 72.1 120.0 72.4 799.8 59.4 151.8 130.5 90.2 1004.5 91.5 63.9 69.2 64.3 664.7 68.7 83.9 116.9 87.2 635.2 45.9 103.9 164.4 110.1 874.9 44.9 55.8 50.0 117.4 743.7 25.7 39.5 54.8 100.4 658.1 12.8 34.9 46.7 50.0 457.2 81.9 57.6 63.9 93.5 674.0 2.6 62.2 75.7 64.5 534.0 45.5 57.7 86.1 93.1 877.2 94.8 45.5 2.6 24.3
151.8 68.2 19.1 30.8
176.0 86.1 21.2 43.7
193.3 1004.5 93.1 735.7 34.4 457.2 38.2 142.5
CUADRO N° ##: NUMEROS ALEATORIOS ENTRE 0 Y 1 CON DISTRIBUCION UNIFORME PERIODO: 1973 - 1999 Año 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
1999 MAX. MED. MIN. D.EST
Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Nov.
Dic.
Tot.
0.9210 0.1954 0.3013 0.7762 0.6737 0.3863 0.8766 0.6766 0.7540 0.3348 0.1593 0.3690 0.1604 0.2093 0.0318 0.7779 0.1789 0.1848 0.4796 0.8801 0.1390 0.6368 0.4389 0.7235 0.4290 0.4965 0.6396 0.8493 0.9210 0.4752 0.0318 0.2690
0.8096 0.9661 0.9089 0.5575 0.3090 0.4196 0.5478 0.0938 0.8951 0.7344 0.4976 0.9696 0.7451 0.7024 0.5854 0.8440 0.6833 0.0090 0.0870 0.8477 0.9880 0.2714 0.9504 0.6401 0.0748 0.7653 0.1853 0.8665 0.9880 0.5959 0.0090 0.3121
0.9063 0.9273 0.5971 0.7663 0.4109 0.8463 0.0837 0.2738 0.7675 0.0163 0.4236 0.6561 0.7327 0.7471 0.5134 0.5379 0.7461 0.0266 0.4405 0.9920 0.1343 0.1671 0.0986 0.9411 0.3108 0.4609 0.9444 0.8411 0.9920 0.5359 0.0163 0.3140
0.7790 0.0460 0.0695 0.4887 0.9786 0.6647 0.7701 0.4505 0.4820 0.1242 0.9460 0.6110 0.0459 0.2775 0.9308 0.3927 0.3909 0.2447 0.5147 0.9081 0.2249 0.1130 0.1314 0.2032 0.8283 0.5625 0.3275 0.8425 0.9786 0.4632 0.0459 0.3041
0.8899 0.2233 0.9217 0.9374 0.9188 0.4230 0.5260 0.8292 0.5036 0.0517 0.9855 0.3825 0.6306 0.3291 0.4970 0.4385 0.7976 0.2807 0.0387 0.0377 0.1599 0.7399 0.4825 0.8745 0.3822 0.9144 0.1176 0.6215 0.9855 0.5301 0.0377 0.3146
0.4619 0.5963 0.2295 0.0742 0.8578 0.9090 0.7905 0.7877 0.0104 0.5014 0.7752 0.9074 0.4255 0.5262 0.4534 0.3149 0.4046 0.2259 0.4633 0.4017 0.3905 0.8267 0.7367 0.6392 0.5041 0.8932 0.2159 0.4525 0.9090 0.5305 0.0104 0.2595
0.4119 0.8484 0.6558 0.8358 0.6958 0.7842 0.6737 0.5457 0.7387 0.7690 0.9869 0.4814 0.6324 0.5946 0.9735 0.4679 0.7431 0.6186 0.1765 0.3875 0.9474 0.8226 0.1359 0.8180 0.1978 0.9324 0.7944 0.2408 0.9869 0.6544 0.1359 0.2390
0.6705 0.8783 0.9152 0.8687 0.6922 0.9330 0.6463 0.0881 0.4775 0.4364 0.0575 0.7239 0.6601 0.7794 0.2420 0.2157 0.1637 0.5476 0.8859 0.9351 0.1691 0.7346 0.9434 0.0795 0.7830 0.7217 0.4852 0.1892 0.9434 0.5827 0.0575 0.2996
0.0799 0.8204 0.3119 0.8028 0.1284 0.9188 0.1370 0.3602 0.9031 0.2495 0.0472 0.9578 0.8454 0.6388 0.6350 0.8929 0.4895 0.9764 0.3882 0.8923 0.8077 0.2707 0.9754 0.3518 0.1139 0.0053 0.4380 0.7602 0.9764 0.5348 0.0053 0.3383
0.3204 0.7261 0.9062 0.8105 0.7612 0.7667 0.7659 0.2051 0.0813 0.4434 0.4538 0.4635 0.0864 0.8871 0.0654 0.8798 0.2156 0.1257 0.5385 0.8619 0.7071 0.1892 0.9835 0.4874 0.4951 0.9364 0.0369 0.6470 0.9835 0.5259 0.0369 0.3157
0.2987 0.4054 0.7981 0.0794 0.7307 0.4655 0.0395 0.7943 0.7471 0.6310 0.0310 0.2082 0.0468 0.5241 0.4857 0.9706 0.3477 0.2867 0.3379 0.8101 0.1273 0.3178 0.8855 0.2907 0.6795 0.1073 0.6195 0.8691 0.9706 0.4469 0.0310 0.2882
0.3972 0.3169 0.1984 0.9393 0.0234 0.5909 0.3064 0.4619 0.5675 0.1293 0.4875 0.4313 0.4491 0.7183 0.5343 0.3001 0.4298 0.2935 0.9095 0.1070 0.4653 0.7881 0.6912 0.0708 0.9638 0.1998 0.3139 0.3132 0.9638 0.4476 0.0234 0.2617
0.2739 0.8299 0.4146 0.2970 0.2760 0.9603 0.5905 0.0374 0.3447 0.1210 0.5356 0.5077 0.4279 0.7194 0.2084 0.6597 0.4802 0.5172 0.4408 0.7855 0.0839 0.0949 0.3878 0.0257 0.5823 0.6650 0.4604 0.5768
0.960 6.323 0.026 0.248
CUADRO N° ##: PRECIPITACION TOTAL MENSUAL (m.m) ESTACION LA OROYA DEPARTAMENTO: PROVINCIA : DISTRITO : Año 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 MAX. MED. MIN. D.EST
Ene. 49.3 87.9 55.7 122.0 75.2 87.1 51.0 75.3 80.8 108.7 80.4 90.7 101.8 112.8 116.7 125.1 94.5 162.0 50.2 45.6 79.4 88.1 106.2 52.9 75.6 95.7 112.9 162.0 88.3 45.6 27.8
Feb. 87.7 84.5 92.0 86.4 60.4 101.0 93.0 108.4 115.2 130.6 20.4 77.9 99.7 121.4 79.6 88.0 89.3 38.6 49.5 43.9 72.9 100.8 96.7 68.2 104.0 70.3 151.8 151.8 86.4 20.4 28.6
JUNIN YAULI LA OROYA Mar. 146.2 65.6 86.7 63.5 45.0 50.3 112.9 69.1 66.0 58.8 67.4 53.8 87.3 120.8 53.5 60.6 88.7 33.5 99.8 31.1 83.5 64.6 62.8 51.3 45.5 48.6 90.2 146.2 70.6 31.1 26.9
isoyeta
LATITUD : LONGITUD : ALTITUD :
Abr. 68.6 37.6 24.1 23.4 43.9 29.9 51.3 7.1 15.5 35.8 19.2 52.1 41.5 96.4 16.3 67.6 43.3 33.5 29.1 25.9 34.6 80.1 48.3 52.6 26.6 28.9 61.8 96.4 40.6 7.1 20.9
May. 16.6 1.1 24.4 23.9 17.1 10.2 13.0 24.1 7.1 0.5 2.2 6.0 11.1 22.2 23.4 7.8 6.9 33.0 27.1 18.9 10.7 19.8 7.1 8.6 8.0 7.3 10.7 33.0 13.7 0.5 8.7
Jun. 14.6 20.4 4.6 26.7 2.0 7.1 0.2 7.1 2.5 20.0 37.3 23.8 23.1 0.4 14.3 0.0 4.2 85.9 29.0 30.8 32.6 1.6 0.0 0.0 0.7 0.5 3.7 85.9 14.6 0.0 18.7
650 700 750 800 850 900 950
Jul. 18.0 0.6 2.2 10.7 9.4 13.7 2.2 18.0 0.0 2.4 3.6 1.6 8.4 16.0 31.6 1.4 1.5 11.9 2.4 7.9 13.3 0.0 10.5 0.0 1.5 0.0 18.4 31.6 7.7 0.0 8.0
Ago.
Set.
32.7 31.5 28.4 15.8 1.5 7.9 4.7 15.0 53.8 14.5 17.8 13.1 5.0 36.0 18.5 0.0 39.1 39.2 0.0 8.7 17.3 8.4 2.8 5.4 26.2 0.0 4.9 53.8 16.6 0.0 14.5
38.2 12.3 46.5 72.4 14.0 52.8 6.6 17.9 29.0 48.0 35.6 17.6 32.0 45.5 35.1 28.4 41.4 45.4 69.9 52.5 35.1 34.3 19.6 9.8 62.6 2.0 34.8 72.4 34.8 2.0 18.6
1.65 1070.7 58.33 40832.9 93.51 70130.1 65.75 52596.4 26.99 22938.2 41.42 37281.6 24.76 23519.6 312.4 2E+05
795
Oct. 93.1 19.7 50.6 20.8 14.6 53.8 55.1 59.3 78.5 84.4 46.7 55.8 29.7 32.5 49.2 64.2 55.1 116.0 48.8 64.1 79.4 42.6 30.2 26.7 44.0 47.5 44.1 116.0 52.1 14.6 23.5
Nov. 35.7 23.6 66.3 26.7 134.5 56.9 47.9 68.8 122.6 75.2 16.2 68.9 54.5 25.7 121.0 83.7 91.7 99.7 52.9 89.3 125.6 38.2 41.9 35.7 48.8 57.8 65.8 134.5 65.8 16.2 33.4
11°31' 75°54' 3,160 msnm Dic. 147.7 26.3 72.9 29.9 74.4 40.8 43.0 45.0 94.6 96.6 60.4 85.0 109.5 47.0 122.4 103.7 55.3 68.9 49.1 66.6 84.1 89.7 76.7 38.2 71.4 49.3 71.1 147.7 71.1 26.3 29.2
Tot. 748.4 411.1 554.4 522.2 492.0 511.5 480.9 515.1 665.6 675.5 407.2 546.3 603.6 676.7 681.6 630.5 611.0 767.6 507.8 485.3 668.5 568.2 502.8 349.4 514.9 407.9 670.2 767.6 562.1 349.4 108.9
CUADRO N° 5.6: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
factor
Año 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
MAX. MED. MIN. D.EST
Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
Nov.
1.3089
Dic.
Tot.
64.5 115.0 72.9 159.7 98.4 114.0 66.8 98.6 105.8 142.3 105.2 118.7 133.2 147.6 152.7 163.7 123.7 212.0 65.7 59.7 103.9 115.3 139.0 69.2 98.9 125.3 147.8
114.8 110.6 120.4 113.1 79.1 132.2 121.7 141.9 150.8 170.9 26.7 102.0 130.5 158.9 104.2 115.2 116.9 50.5 64.8 57.5 95.4 131.9 126.6 89.3 136.1 92.0 198.7
191.4 85.9 113.5 83.1 58.9 65.8 147.8 90.4 86.4 77.0 88.2 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 59.6 63.6 118.1
89.8 49.2 31.5 30.6 57.5 39.1 67.1 9.3 20.3 46.9 25.1 68.2 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 37.8 80.9
21.7 1.4 31.9 31.3 22.4 13.4 17.0 31.5 9.3 0.7 2.9 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 10.5 9.6 14.0
19.1 26.7 6.0 34.9 2.6 9.3 0.3 9.3 3.3 26.2 48.8 31.2 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 0.7 4.8
23.6 0.8 2.9 14.0 12.3 17.9 2.9 23.6 0.0 3.1 4.7 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 2.0 0.0 24.1
42.8 41.2 37.2 20.7 2.0 10.3 6.2 19.6 70.4 19.0 23.3 17.1 6.5 47.1 24.2 0.0 51.2 51.3 0.0 11.4 22.6 11.0 3.7 7.1 34.3 0.0 6.4
50.0 16.1 60.9 94.8 18.3 69.1 8.6 23.4 38.0 62.8 46.6 23.0 41.9 59.6 45.9 37.2 54.2 59.4 91.5 68.7 45.9 44.9 25.7 12.8 81.9 2.6 45.5
121.9 25.8 66.2 27.2 19.1 70.4 72.1 77.6 102.7 110.5 61.1 73.0 38.9 42.5 64.4 84.0 72.1 151.8 63.9 83.9 103.9 55.8 39.5 34.9 57.6 62.2 57.7
46.7 30.9 86.8 34.9 176.0 74.5 62.7 90.0 160.5 98.4 21.2 90.2 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 75.7 86.1
193.3 34.4 95.4 39.1 97.4 53.4 56.3 58.9 123.8 126.4 79.1 111.3 143.3 61.5 160.2 135.7 72.4 90.2 64.3 87.2 110.1 117.4 100.4 50.0 93.5 64.5 93.1
979.6 538.1 725.6 683.5 644.0 669.5 629.4 674.2 871.2 884.1 533.0 715.0 790.0 885.7 892.1 825.2 799.7 1004.7 664.6 635.2 875.0 743.7 658.1 457.3 673.9 533.9 877.2
212.0 115.5 59.7 36.4
198.7 113.1 26.7 37.4
191.4 92.4 40.7 35.2
126.2 53.1 9.3 27.4
43.2 17.9 0.7 11.4
112.4 19.1 0.0 24.5
41.4 10.0 0.0 10.4
70.4 21.7 0.0 19.0
94.8 45.5 2.6 24.3
151.8 68.2 19.1 30.8
176.0 86.1 21.2 43.7
193.3 93.1 34.4 38.2
1004.7 735.7 457.3 142.5
Fuente: Elaboración propia
CUADRO N° 5.7: ANALISIS DE FRECUENCIAS DE PRECIPITACION - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO : Orden
Ene.
Feb.
LATITUD : LONGITUD : ALTITUD MEDIA :
JUNIN TARMA TARMA
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Oct.
11°24' -11°33' 75°45' - 75°54' 4,136 msnm
Nov.
Dic.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
212.0 163.7 159.7 152.7 147.8 147.6 142.3 139.0 133.2 125.3 123.7 118.7 115.3 115.0 114.0 105.8 105.2 103.9 98.9 98.6 98.4 72.9 69.2 66.8 65.7 64.5 59.7
198.7 170.9 158.9 150.8 141.9 136.1 132.2 131.9 130.5 126.6 121.7 120.4 116.9 115.2 114.8 113.1 110.6 104.2 102.0 95.4 92.0 89.3 79.1 64.8 57.5 50.5 26.7
191.4 158.1 147.8 130.6 118.1 116.1 114.3 113.5 109.3 90.4 88.2 86.4 85.9 84.6 83.1 82.2 79.3 77.0 70.4 70.0 67.1 65.8 63.6 59.6 58.9 43.8 40.7
126.2 104.8 89.8 88.5 80.9 68.8 68.2 67.1 63.2 57.5 56.7 54.3 49.2 46.9 45.3 43.8 39.1 38.1 37.8 34.8 33.9 31.5 30.6 25.1 21.3 20.3 9.3
43.2 35.5 31.9 31.5 31.3 30.6 29.1 25.9 24.7 22.4 21.7 17.0 14.5 14.0 14.0 13.4 11.3 10.5 10.2 9.6 9.3 9.3 9.0 7.9 2.9 1.4 0.7
112.4 48.8 42.7 40.3 38.0 34.9 31.2 30.2 26.7 26.2 19.1 18.7 9.3 9.3 6.0 5.5 4.8 3.3 2.6 2.1 0.9 0.7 0.5 0.3 0.0 0.0 0.0
41.4 24.1 23.6 23.6 20.9 17.9 17.4 15.6 14.0 13.7 12.3 11.0 10.3 4.7 3.1 3.1 2.9 2.9 2.1 2.0 2.0 1.8 0.8 0.0 0.0 0.0 0.0
70.4 51.3 51.2 47.1 42.8 41.2 37.2 34.3 24.2 23.3 22.6 20.7 19.6 19.0 17.1 11.4 11.0 10.3 7.1 6.5 6.4 6.2 3.7 2.0 0.0 0.0 0.0
94.8 91.5 81.9 69.1 68.7 62.8 60.9 59.6 59.4 54.2 50.0 46.6 45.9 45.9 45.5 44.9 41.9 38.0 37.2 25.7 23.4 23.0 18.3 16.1 12.8 8.6 2.6
151.8 121.9 110.5 103.9 102.7 84.0 83.9 77.6 73.0 72.1 72.1 70.4 66.2 64.4 63.9 62.2 61.1 57.7 57.6 55.8 42.5 39.5 38.9 34.9 27.2 25.8 19.1
176.0 164.4 160.5 158.4 130.5 120.0 116.9 109.6 98.4 90.2 90.0 86.8 86.1 75.7 74.5 71.3 69.2 63.9 62.7 54.8 50.0 46.7 46.7 34.9 33.6 30.9 21.2
193.3 160.2 143.3 135.7 126.4 123.8 117.4 111.3 110.1 100.4 97.4 95.4 93.5 93.1 90.2 87.2 79.1 72.4 64.5 64.3 61.5 58.9 56.3 53.4 50.0 39.1 34.4
P(25%) P(50%) P(75%) P(90%) MED.
142.3 115.0 98.4 65.5 115.5
132.2 115.2 92.0 56.1 113.1
114.3 84.6 67.1 55.9 92.4
68.2 46.9 33.9 21.1 53.1
29.1 14.0 9.3 2.6 17.9
31.2 9.3 0.9 0.0 19.1
17.4 4.7 2.0 0.0 10.0
37.2 19.0 6.4 0.0 21.7
60.9 45.9 23.4 12.0 45.5
83.9 64.4 42.5 26.9 68.2
116.9 75.7 50.0 33.1 86.1
117.4 93.1 61.5 47.8 93.1
Fuente: Elaboración propia
Frec. 3.6 7.1 10.7 14.3 17.9 21.4 25.0 28.6 32.1 35.7 39.3 42.9 46.4 50.0 53.6 57.1 60.7 64.3 67.9 71.4 75.0 78.6 82.1 85.7 89.3 92.9 96.4
1 Figura 5.4: Serie Histórica de Precipitación Generada - Microcuenca Muylo
250
150
1 100
50
0 1973
1986
1999
Tiempo (años)
1
Figura 5.5: Variación Mensual de la Precipitación para Cuatro Niveles de Persistencia - Microcuenca Muylo 150
125
Precipitación (mm)
Precipitación (mm)
200
1
100
75
50
25
1
0 Ene.
Feb.
Mar.
Abr.
May.
Jun.
Jul.
Ago.
Set.
Mes 25%
50%
75%
90%
Oct.
Nov.
Dic.
1
1
1
1
1
1
1
1
1
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. 1973
1974
1975
1976
64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 50.0 121.9 46.7 193.3 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 16.1 25.8 30.9 34.4 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 60.9 66.2 86.8 95.4 159.7 113.1 83.1 30.6 31.3 34.9
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
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
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
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
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
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
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
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
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
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
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
1977 142.5
1978
1979
1980
1981
14.0 20.7 94.8 27.2 34.9 39.1 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 18.3 19.1 176.0 97.4 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 69.1 70.4 74.5 53.4 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 8.6 72.1 62.7 56.3 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 23.4 77.6 90.0 58.9 105.8 150.8 86.4
1982
1983
1984
1985
20.3 9.3 3.3 0.0 70.4 38.0 102.7 160.5 123.8 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 62.8 110.5 98.4 126.4 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 46.6 61.1 21.2 79.1 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 23.0 73.0 90.2 111.3 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 41.9 38.9 71.3 143.3
1986
1987
1988
1989
1990
147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 59.6 42.5 33.6 61.5 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 45.9 64.4 158.4 160.2 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 37.2 84.0 109.6 135.7 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 54.2 72.1 120.0 72.4 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 59.4
1991
1992
1993
1994
1995
151.8 130.5 90.2 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 91.5 63.9 69.2 64.3 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 68.7 83.9 116.9 87.2 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 45.9 103.9 164.4 110.1 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 44.9 55.8 50.0 117.4 139.0 126.6 82.2 63.2 9.3 0.0
1996
1997
1998
1999
13.7 3.7 25.7 39.5 54.8 100.4 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 12.8 34.9 46.7 50.0 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 81.9 57.6 63.9 93.5 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 2.6 62.2 75.7 64.5 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 45.5 57.7 86.1 93.1
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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