DATOS DE LA ZONA DE ESTUDIOESTACION: LAT:

LONG:CATEGORIA: ALT:

AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO

1995 39.10 10.80 38.70 90.30 17.60 22.501996 36.10 29.10 41.50 29.70 9.80 39.501997 36.00 74.20 45.50 46.70 22.10 13.601998 21.90 18.00 30.60 34.40 12.80 2.501999 28.20 31.50 14.00 5.70 15.40 22.002000 13.40 22.10 20.40 13.60 28.40 17.602001 8.20 30.80 17.70 12.50 16.96 2.702002 20.40 26.50 21.90 29.60 18.80 10.802003 26.00 22.50 23.10 16.20 22.70 4.502004 14.10 22.40 31.50 18.30 8.60 16.002005 6.50 23.60 19.80 17.80 29.30 1.802006 24.60 20.20 36.20 18.30 5.00 4.602007 21.90 9.50 29.30 13.50 15.80 1.602008 11.30 28.50 10.10 8.00 15.10 13.002009 18.30 53.90 23.50 48.30 5.60 2.002010 35.10 29.70 21.50 32.10 10.30 14.302011 14.63 17.75 15.40 18.20 13.81 9.722012 26.30 64.60 21.40 20.40 21.80 37.70

PRECIPITACION MAXIMA EN 24 HORAS

CHACHAPOYAS

CO

06° 12' 30'' DPTO: AMAZONAS

77° 52' 1,8'' PROV: CHACHAPOYAS

2490 m.s.n.m DIST: CHACHAPOYAS

JULIO AGOSTO SEPTIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE Pmax

5.70 3.00 17.10 55.50 29.60 86.60 90.308.60 13.60 22.20 58.20 35.00 34.60 58.204.50 23.60 27.50 7.00 23.50 46.70 74.200.50 12.30 9.80 15.60 42.40 4.20 42.406.30 15.40 15.50 12.80 11.30 17.50 31.502.80 6.40 20.00 2.00 8.20 17.30 28.408.50 2.90 11.00 52.80 13.70 10.90 52.808.30 4.20 12.50 33.30 14.10 24.80 33.302.00 16.90 13.00 19.90 20.50 26.90 26.9011.40 7.00 13.80 17.30 19.30 18.40 31.502.00 12.20 16.00 29.90 18.10 20.20 29.9013.80 2.00 8.40 49.50 21.30 14.30 49.5021.40 27.90 9.50 29.88 20.80 28.20 29.883.50 8.30 23.00 49.50 24.16 33.88 49.508.60 7.40 3.80 36.30 14.00 5.80 53.9024.80 1.20 8.60 7.70 12.50 14.00 35.108.44 5.70 11.50 19.60 9.80 21.00 21.001.60 7.00 11.90 48.10 20.40 10.90 64.60

PRECIPITACION MAXIMA EN 24 HORAS

ESTACION: LAT: 06° 12' 30''

LONG: 77° 52' 1,8''

CATEGORIA: ALT: 2490 m.s.n.m

P max24 h90.30 1 21.00 0.0526 -1.2688958.20 2 26.90 0.1053 -0.9517374.20 3 28.40 0.1579 -0.8711042.40 4 29.88 0.2105 -0.7915431.50 5 29.90 0.2632 -0.7904628.40 6 31.50 0.3158 -0.7044552.80 7 31.50 0.3684 -0.7044533.30 8 33.30 0.4211 -0.6076926.90 9 35.10 0.4737 -0.5109331.50 10 42.40 0.5263 -0.1185029.90 11 49.50 0.5789 0.2631749.50 12 49.50 0.6316 0.2631729.88 13 52.80 0.6842 0.4405749.50 14 53.90 0.7368 0.4997053.90 15 58.20 0.7895 0.7308535.10 16 64.60 0.8421 1.0748921.00 17 74.20 0.8947 1.5909664.60 18 90.30 0.9474 2.45644

X 44.604

S 18.602

Z0.84164

1.28155

1.47582

1.75070

2.05375

2.32630

Resultado del Análisis:

La información es:

DISTRIBUCION NORMAL

DATOS DE LA ZONA DE ESTUDIO

Z=(xi-x)/SP(x)=m/(N+1)m Xi

CHACHAPOYAS

CO

TIEMPO DE RETORNO TR (AÑOS) F(Z)=1-1/T

5 0.800

10 0.900

15 0.933

100 0.990

25 0.960

50 0.980

DPTO: AMAZONAS

PROV: CHACHAPOYAS

DIST: CHACHAPOYAS 1 1.26000 0.89616

1.26889 0.89776

1.27000 0.89796

0.10224 0.04961 2 0.95000 0.82894

0.17062 0.06536 0.95173 0.82938

0.19185 0.03396 0.96000 0.83147

0.21432 0.003800.21464 0.04852 3 0.87000 0.80785

0.24058 0.07521 0.87110 0.80815

0.24058 0.12784 0.88000 0.81057

0.27181 0.149240.30471 0.16898 4 0.79000 0.78523

0.45283 0.07348 0.79154 0.78568

0.60379 0.02484 0.80000 0.78814

0.60379 0.027790.67023 0.01398 5 0.79000 0.78523

0.69135 0.04549 0.79046 0.78536

0.76756 0.02191 0.80000 0.78814

0.85879 0.016680.94419 0.04945 6 0.70000 0.75803

0.99409 0.04672 0.70445 0.75942

MAX 0.16898 0.71000 0.76115

0.169

0.309

AJUSTE BUENO (Δmax < Δo)

CONFIABLE

INTERPOLACION

DISTRIBUCION NORMAL

F(Z)

TIEMPO DE RETORNO X

60.261

68.444

72.058

87.879

77.172

82.809

∆= 𝐏 𝐗 − 𝐅(𝐙)

∆𝑚𝑎𝑥

∆𝑂

7 0.70000 0.75803 13 0.44000 0.67003

0.70445 0.75942 0.44057 0.67023

0.71000 0.76115 0.45000 0.67364

8 0.60000 0.72525 14 0.49000 0.68793

0.60769 0.72819 0.49970 0.69135

0.61000 0.72907 0.50000 0.69146

9 0.51000 0.69497 15 0.73000 0.76730

0.51093 0.69529 0.73085 0.76756

0.52000 0.69847 0.74000 0.77035

10 0.11000 0.54379 16 1.07000 0.85769

0.11850 0.54717 1.07489 0.85879

0.12000 0.54776 1.08000 0.85993

11 0.26000 0.60257 17 1.59000 0.94408

0.26317 0.60379 1.59096 0.94419

0.27000 0.60642 1.60000 0.94520

12 0.26000 0.60257 17 2.45000 0.99286

0.26317 0.60379 2.45644 0.99409

0.27000 0.60642 2.46000 0.99477

INTERPOLACION

ESTACION: LAT: 06° 12' 30''

LONG: 77° 52' 1,8''

CATEGORIA: ALT: 2490 m.s.n.m

P max24 h90.30 1 21.00 0.0526 -1.05027 2.8584358.20 2 26.90 0.1053 -0.64349 1.9031274.20 3 28.40 0.1579 -0.54008 1.7161442.40 4 29.88 0.2105 -0.43804 1.5496631.50 5 29.90 0.2632 -0.43666 1.5475328.40 6 31.50 0.3158 -0.32635 1.3858952.80 7 31.50 0.3684 -0.32635 1.3858933.30 8 33.30 0.4211 -0.20224 1.2241526.90 9 35.10 0.4737 -0.07814 1.0812831.50 10 42.40 0.5263 0.42516 0.6536629.90 11 49.50 0.5789 0.91467 0.4006549.50 12 49.50 0.6316 0.91467 0.4006529.88 13 52.80 0.6842 1.14219 0.3191249.50 14 53.90 0.7368 1.21803 0.2958153.90 15 58.20 0.7895 1.51450 0.2199235.10 16 64.60 0.8421 1.95575 0.1414621.00 17 74.20 0.8947 2.61763 0.0729864.60 18 90.30 0.9474 3.72765 0.02405

X 44.604

S 18.602

u 36.233

a 14.504

TR(años) G(Y) Y X

5 0.80 1.49994 57.989

10 0.90 2.25037 68.873

15 0.93 2.67375 75.014

DATOS DE LA ZONA DE ESTUDIO

La información es:

DISTRIBUCION GUMBEL

TIEMPO DE RETORNO

Resultado del Análisis:

m Xi P(x)=m/(N+1) Y

CHACHAPOYAS

CO

25 0.96 3.19853 82.626

50 0.98 3.90194 92.828

100 0.99 4.60015 102.955

DPTO: AMAZONAS

PROV: CHACHAPOYAS

DIST: CHACHAPOYAS

0.05736 0.004730.14910 0.043840.17976 0.021860.21232 0.001790.21277 0.050380.25010 0.065690.25010 0.118320.29401 0.127040.33916 0.134520.52014 0.006180.66989 0.090940.66989 0.038310.72679 0.042580.74393 0.007090.80258 0.013110.86809 0.025990.92962 0.034890.97624 0.02887

MAX 0.13452

0.135

0.309

NO CONFIABLE

DISTRIBUCION GUMBEL

AJUSTE NO BUENO (Δmax >Δo)

∆= 𝐏 𝐗 − 𝐆(𝐘)

𝑮 𝒀 = 𝒆−𝒆−𝒀

𝒆−𝐘

∆𝒎𝒂𝒙

∆𝑶

ESTACION: LAT: 06° 12' 30''

LONG: 77° 52' 1,8''

CATEGORIA: ALT: 2490 m.s.n.m

P max24 h90.30 1 21.00 0.0526 -1.6809458.20 2 26.90 0.1053 -1.0626374.20 3 28.40 0.1579 -0.9271242.40 4 29.88 0.2105 -0.8002631.50 5 29.90 0.2632 -0.7985928.40 6 31.50 0.3158 -0.6684252.80 7 31.50 0.3684 -0.6684233.30 8 33.30 0.4211 -0.5296526.90 9 35.10 0.4737 -0.3981931.50 10 42.40 0.5263 0.0736529.90 11 49.50 0.5789 0.4602849.50 12 49.50 0.6316 0.4602829.88 13 52.80 0.6842 0.6214549.50 14 53.90 0.7368 0.6729453.90 15 58.20 0.7895 0.8646135.10 16 64.60 0.8421 1.1251421.00 17 74.20 0.8947 1.4711364.60 18 90.30 0.9474 1.96151

44.604

18.602

0.417 Resultado del Análisis:

0.160 La información es:

3.718

Z

0.84164

DISTRIBUCION LOG-NORMAL DE 2 PARAMETROS

DATOS DE LA ZONA DE ESTUDIOCHACHAPOYAS

CO

m Xi P(x)=m/(N+1)

TIEMPO DE RETORNO TR F(Z)=1-1/T

0.800

AÑOS5

𝒁 =𝒍𝒏𝒙 − 𝝁𝒚

𝝈𝒚

𝑿

𝑺 𝑪𝒗

𝝁𝒚

𝝈𝒚𝟐

1.28155

1.47582

1.75070

2.05375

2.32630

10 0.900

15 0.933

100 0.990

25 0.960

50 0.980

DPTO: AMAZONAS

PROV: CHACHAPOYAS

DIST: CHACHAPOYAS

0.04639 0.006240.14398 0.03871 1 1.68000

0.17694 0.01904 1.68094

0.21178 0.00126 1.69000

0.21227 0.050890.25194 0.06385 2 1.06000

0.25194 0.11648 1.06263

0.29818 0.12287 1.07000

0.34525 0.128430.52935 0.00304 3 0.92000

0.67734 0.09839 0.92712

0.67734 0.04576 0.93000

0.73284 0.048630.74950 0.01266 4 0.80000

0.80637 0.01689 0.80026

0.86973 0.02762 0.81000

0.92937 0.034630.97509 0.02772 5 0.79000

Max 0.12843 0.79859

0.80000

0.128

0.309 6 0.66000

0.66842

0.67000

AJUSTE BUENO (Δmax < Δo)

CONFIABLE

INTERPOLACION

DISTRIBUCION LOG-NORMAL DE 2 PARAMETROS

F(Z)

TIEMPO DE RETORNO X

mm

57.667

∆= 𝐏 𝐗 − 𝐅(𝐙)

∆𝒎𝒂𝒙

∆𝑶

68.776

74.340

104.503

82.990

93.698

0.95352 7 0.66000 0.74537 13 0.62000 0.73237

0.95361 0.66842 0.74806 0.62145 0.73284

0.95448 0.67000 0.74857 0.63000 0.73565

0.85543 8 0.52000 0.69847 14 0.67000 0.74857

0.85602 0.52965 0.70182 0.67294 0.74950

0.85769 0.53000 0.70194 0.68000 0.75175

0.82121 9 0.39000 0.65173 15 0.86000 0.80510

0.82306 0.39819 0.65475 0.86461 0.80637

0.82381 0.40000 0.65542 0.87000 0.80785

0.78814 10 0.07000 0.52790 16 1.12000 0.86864

0.78822 0.07365 0.52935 1.12514 0.86973

0.79103 0.08000 0.53188 1.13000 0.87076

0.78523 11 0.46000 0.67724 17 1.47000 0.92922

0.78773 0.46028 0.67734 1.47113 0.92937

0.78814 0.47000 0.68082 1.48000 0.93056

0.74537 12 0.46000 0.67724 18 1.96000 0.97500

0.74806 0.46028 0.67734 1.96151 0.97509

0.74857 0.47000 0.68082 1.97000 0.97558

INTERPOLACION

0.16035905

3.71765398

1 0.79954 0.84

0.80000 0.84164

0.80234 0.85000

2 0.89973 1.28000

0.90000 1.28155

0.90147 1.29000

3 0.92922 1.47000

0.93000 1.47582

0.93056 1.48000

Z

INTERPOLACIONES

TIEMPO DE RETORNO TR F(Z)=1-1/T

INTERPOLACION

0.84164

1.28155

1.47582

1.75070

2.05375

2.32630100 0.990 104.503

25 0.960 82.990

50 0.980 93.698

10 0.900 68.776

15 0.933 74.340

5 0.800 57.667

mmAÑOS

4 0.95994 1.75000

0.96000 1.75070

0.96080 1.76000

5 0.97982 2.05000

0.98000 2.05375

0.98030 2.06000

6 0.98983 2.32000

0.99000 2.32630

0.99010 2.33000

INTERPOLACIONES

TIEMPO DE RETORNO

104.503

82.990

93.698

68.776

74.340

57.667

mm

Z0.84164

1.28155

1.47582

1.75070

2.05375

2.32630

12.0025.0031.80 44.604

31.80 18.602

37.6039.8040.6040.7045.1050.1050.2053.1055.8060.1060.7061.3070.50

87.87907

TIEMPO DE RETORNO X

100

0.800

0.900

0.933

0.960

0.980

0.990

5101525

F(Z)=1-1/TTR (AÑOS)

50

60.26100

68.44434

72.05821

77.17157

82.80906

1 0.79954 0.84 7 0.95994

0.80000 0.84164 0.96000

0.80234 0.85000 0.96080

2 0.89973 1.28000 8 0.97982

0.90000 1.28155 0.98000

0.90147 1.29000 0.98030

3 0.92922 1.47000 9 0.98983

0.93000 1.47582 0.99000

0.93056 1.48000 0.99010

87.87907

INTERPOLACIONES

TIEMPO DE RETORNO X

60.26100

68.44434

72.05821

77.17157

82.80906

1.75000

1.75070

1.76000

2.05000

2.05375

2.06000

2.32000

2.32630

2.33000

INTERPOLACIONES

5 10 15 25 50 100NORMAL 4.509 4.6 4.641 4.698 4.761 4.818

GUMBEL 4.483 4.605 4.674 4.759 4.873 4.986

LOG NORMAL 4.507 4.603 4.646 4.708 4.777 4.84

5.94751127

6.46176181 1.28155172

6.68886118

7.0101903

7.36445646

7.68306127

PRECIPITACION MAXIMA EN 24 HR - ESTACION PUCARAAÑO 1999 - 2012

DISTRIBUCIÓNTR - Años

119.837

7

8

9

10

PR

EC

IPIT

AC

ION

(m

m)

TR, AÑOS

5

6

1 10PROBABILIDAD (%)

TR, AÑOS

NORMAL

GUMBEL

LOG-NORMAL

10 100PROBABILIDAD (%)

5 10 15 25NORMAL 60.261 68.444 72.058 77.172

GUMBEL 57.989 68.873 75.014 82.626

LOG NORMAL 57.667 68.776 74.340 82.990

PRECIPITACION MAXIMA EN 24 HR - ESTACION CHACHAPOYASAÑO 1995 - 2012

DISTRIBUCIÓNTR - Años

50 10082.809 87.879

92.828 102.955

93.698 104.503

PRECIPITACION MAXIMA EN 24 HR - ESTACION CHACHAPOYASAÑO 1995 - 2012

TR - Años