Statistical Approach of PMP by using Chow's Equation Calculator

✖Mean Precipitation of Annual Maximum Values.ⓘ Mean Precipitation of Annual Maximum Values [P]			+10% -10%
✖Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).ⓘ Frequency Factor [K_z]			+10% -10%
✖The Standard Deviation is a measure of how spread out numbers are.ⓘ Standard Deviation [σ]			+10% -10%

✖Probable Maximum Precipitation is the estimate of the extreme maximum rainfall of a given duration.ⓘ Statistical Approach of PMP by using Chow's Equation [PMP]

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Statistical Approach of PMP by using Chow's Equation

Formula

`"PMP" = "P"+"K"_{"z"}*"σ"`

Example

`"59.01mm"="49.7mm"+"7"*"1.33"`

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Statistical Approach of PMP by using Chow's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probable Maximum Precipitation = Mean Precipitation of Annual Maximum Values+Frequency Factor*Standard Deviation
PMP = P+K_z*σ
This formula uses 4 Variables

Variables Used

Probable Maximum Precipitation - (Measured in Millimeter) - Probable Maximum Precipitation is the estimate of the extreme maximum rainfall of a given duration.
Mean Precipitation of Annual Maximum Values - (Measured in Millimeter) - Mean Precipitation of Annual Maximum Values.
Frequency Factor - Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.

STEP 1: Convert Input(s) to Base Unit

Mean Precipitation of Annual Maximum Values: 49.7 Millimeter --> 49.7 Millimeter No Conversion Required
Frequency Factor: 7 --> No Conversion Required
Standard Deviation: 1.33 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PMP = P+K_z*σ --> 49.7+7*1.33

Evaluating ... ...

PMP = 59.01

STEP 3: Convert Result to Output's Unit

0.05901 Meter -->59.01 Millimeter (Check conversion here)

FINAL ANSWER

59.01 Millimeter <-- Probable Maximum Precipitation

(Calculation completed in 00.004 seconds)

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Statistical Approach of PMP by using Chow's Equation

Go Probable Maximum Precipitation = Mean Precipitation of Annual Maximum Values+Frequency Factor*Standard Deviation

Duration given Extreme Rainfall Depth

Go Duration of Excess Rainfall in Hours = (Extreme Rainfall Depth/42.16)^(1/0.475)

Extreme Rainfall Depth

Go Extreme Rainfall Depth = 42.16*Duration of Excess Rainfall in Hours^0.475

Statistical Approach of PMP by using Chow's Equation Formula

Probable Maximum Precipitation = Mean Precipitation of Annual Maximum Values+Frequency Factor*Standard Deviation
PMP = P+K_z*σ

What is Precipitation?

Precipitation is a form of water from the atmosphere. It is a term in meteorology, and includes rain, snow, sleet, ice pellets dew, frost, and hail. These form by condensation from atmospheric water vapor and fall under gravity. Fog and mist are not precipitation but suspensions.

What is Probable Maximum Precipitation (PMP)?

Probable maximum precipitation is defined as the estimate of the extreme maximum rainfall of a given duration that is physically possible over a basin under critical hydrological and meteorological conditions. This is used to compute flood by using suitable rainfall runoff model.
Two methods of PMP estimation are:
1. Statistical procedure
2. Meteorological approach

How to Calculate Statistical Approach of PMP by using Chow's Equation?

Statistical Approach of PMP by using Chow's Equation calculator uses Probable Maximum Precipitation = Mean Precipitation of Annual Maximum Values+Frequency Factor*Standard Deviation to calculate the Probable Maximum Precipitation, The Statistical Approach of PMP by using Chow's Equation formula is defined as the estimate of the extreme maximum rainfall of a given duration over a basin under critical hydrological and meteorological conditions. Probable Maximum Precipitation is denoted by PMP symbol.

How to calculate Statistical Approach of PMP by using Chow's Equation using this online calculator? To use this online calculator for Statistical Approach of PMP by using Chow's Equation, enter Mean Precipitation of Annual Maximum Values (P), Frequency Factor (K_z) & Standard Deviation (σ) and hit the calculate button. Here is how the Statistical Approach of PMP by using Chow's Equation calculation can be explained with given input values -> 59010 = 0.0497+7*1.33.

FAQ

What is Statistical Approach of PMP by using Chow's Equation?

The Statistical Approach of PMP by using Chow's Equation formula is defined as the estimate of the extreme maximum rainfall of a given duration over a basin under critical hydrological and meteorological conditions and is represented as PMP = P+K_z*σ or Probable Maximum Precipitation = Mean Precipitation of Annual Maximum Values+Frequency Factor*Standard Deviation. Mean Precipitation of Annual Maximum Values, Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs) & The Standard Deviation is a measure of how spread out numbers are.

How to calculate Statistical Approach of PMP by using Chow's Equation?

The Statistical Approach of PMP by using Chow's Equation formula is defined as the estimate of the extreme maximum rainfall of a given duration over a basin under critical hydrological and meteorological conditions is calculated using Probable Maximum Precipitation = Mean Precipitation of Annual Maximum Values+Frequency Factor*Standard Deviation. To calculate Statistical Approach of PMP by using Chow's Equation, you need Mean Precipitation of Annual Maximum Values (P), Frequency Factor (K_z) & Standard Deviation (σ). With our tool, you need to enter the respective value for Mean Precipitation of Annual Maximum Values, Frequency Factor & Standard Deviation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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