Reduced Variate for Return Period when Frequency Factor is Considered Calculator

✖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]

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✖Reduced Variate 'Y' with Respect to Frequency Factor is a transformed variable that allows for the Gumbel distribution to be used to model extreme values.ⓘ Reduced Variate for Return Period when Frequency Factor is Considered [y_tf]

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Reduced Variate for Return Period when Frequency Factor is Considered

Formula

`"y"_{"tf"} = ("K"_{"z"}*1.2825)+0.577`

Example

`"9.5545"=("7"*1.2825)+0.577`

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Download Gumbel's Method for Prediction of Flood's Peak Formulas PDF

Reduced Variate for Return Period when Frequency Factor is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577
y_tf = (K_z*1.2825)+0.577
This formula uses 2 Variables

Variables Used

Reduced Variate 'Y' with Respect to Frequency - Reduced Variate 'Y' with Respect to Frequency Factor is a transformed variable that allows for the Gumbel distribution to be used to model extreme 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).

STEP 1: Convert Input(s) to Base Unit

Frequency Factor: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y_tf = (K_z*1.2825)+0.577 --> (7*1.2825)+0.577

Evaluating ... ...

y_tf = 9.5545

STEP 3: Convert Result to Output's Unit

9.5545 --> No Conversion Required

FINAL ANSWER

9.5545 <-- Reduced Variate 'Y' with Respect to Frequency

(Calculation completed in 00.004 seconds)

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< 14 Gumbel's Method for Prediction of Flood's Peak Calculators

Reduced Variate 'Y' in Gumbel's Method

Go Reduced Variate 'Y' = ((1.285*(Variate 'X' with a Recurrence Interval-Mean of the Variate X))/Standard Deviation of the Z Variate Sample)+0.577

Reduced Variate 'Y' for given Return Period

Go Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1))))

Mean Variate given Variate 'x' with Recurrence Interval for Practical Use

Go Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N)

Frequency Factor given Variate 'x' concerning Return Period

Go Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample

Gumbel's Variate 'x' with Recurrence Interval for Practical Use

Go Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Sample of Size N

General Equation of Hydrologic Frequency Analysis

Go Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Z Variate Sample

Mean of Variate in Flood Frequency Studies

Go Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample

Reduced Variate when Frequency Factor and Standard Deviation is Considered

Go Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean

Reduced Variate concerning Return Period

Go Reduced Variate 'Y' for Return Period = -(ln(ln(Return Period/(Return Period-1))))

Reduced Mean when Frequency Factor and Standard Deviation are Considered

Go Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation)

Reduced Standard Deviation when Variate and Reduced Mean is Considered

Go Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor

Frequency Factor in Gumbel's Equation for Practical Use

Go Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation

Reduced Variate for Return Period when Frequency Factor is Considered

Go Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577

Frequency Factor as applicable to Infinite Sample Size

Go Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825

Reduced Variate for Return Period when Frequency Factor is Considered Formula

Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577
y_tf = (K_z*1.2825)+0.577

What is Flood Frequency Analysis?

Flood Frequency Analysis is a technique used by hydrologists to predict flow values corresponding to specific return periods or probabilities along a river. After choosing the probability distribution that best fits the annual maxima data, flood frequency curves are plotted.

What is Peak Discharge?

In Hydrology, the term Peak Discharge stands for the highest concentration of runoff from the basin area. The concentrated flow of the basin greatly exaggerates and overtops the natural or artificial bank, and this might be called a flood.

How to Calculate Reduced Variate for Return Period when Frequency Factor is Considered?

Reduced Variate for Return Period when Frequency Factor is Considered calculator uses Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577 to calculate the Reduced Variate 'Y' with Respect to Frequency, The Reduced Variate for Return Period when Frequency Factor is Considered formula is defined as the dimensionless variable in Gumbel's method, the most widely used probability distribution function values for extreme hydrologic and meteorological studies for prediction of flood peaks. Reduced Variate 'Y' with Respect to Frequency is denoted by y_tf symbol.

How to calculate Reduced Variate for Return Period when Frequency Factor is Considered using this online calculator? To use this online calculator for Reduced Variate for Return Period when Frequency Factor is Considered, enter Frequency Factor (K_z) and hit the calculate button. Here is how the Reduced Variate for Return Period when Frequency Factor is Considered calculation can be explained with given input values -> 9.5545 = (7*1.2825)+0.577.

FAQ

What is Reduced Variate for Return Period when Frequency Factor is Considered?

The Reduced Variate for Return Period when Frequency Factor is Considered formula is defined as the dimensionless variable in Gumbel's method, the most widely used probability distribution function values for extreme hydrologic and meteorological studies for prediction of flood peaks and is represented as y_tf = (K_z*1.2825)+0.577 or Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577. 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).

How to calculate Reduced Variate for Return Period when Frequency Factor is Considered?

The Reduced Variate for Return Period when Frequency Factor is Considered formula is defined as the dimensionless variable in Gumbel's method, the most widely used probability distribution function values for extreme hydrologic and meteorological studies for prediction of flood peaks is calculated using Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577. To calculate Reduced Variate for Return Period when Frequency Factor is Considered, you need Frequency Factor (K_z). With our tool, you need to enter the respective value for Frequency Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Reduced Variate 'Y' with Respect to Frequency?

In this formula, Reduced Variate 'Y' with Respect to Frequency uses Frequency Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean

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