Reduced Variate 'Y' for given Return Period Calculator

✖Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.ⓘ Return Period [T_r]

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✖Reduced Variate 'Y' for Return Period is a transformed variable allowed for Gumbel distribution used to model extreme values and return period T is expected years that a certain event will occur.ⓘ Reduced Variate 'Y' for given Return Period [y_T]

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

Reduced Variate 'Y' for given Return Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1))))
y_T = -(0.834+2.303*log10(log10(T_r/(T_r-1))))
This formula uses 1 Functions, 2 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Reduced Variate 'Y' for Return Period - Reduced Variate 'Y' for Return Period is a transformed variable allowed for Gumbel distribution used to model extreme values and return period T is expected years that a certain event will occur.
Return Period - Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.

STEP 1: Convert Input(s) to Base Unit

Return Period: 150 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y_T = -(0.834+2.303*log10(log10(T_r/(T_r-1)))) --> -(0.834+2.303*log10(log10(150/(150-1))))

Evaluating ... ...

y_T = 5.00837766856287

STEP 3: Convert Result to Output's Unit

5.00837766856287 --> No Conversion Required

FINAL ANSWER

5.00837766856287 ≈ 5.008378 <-- Reduced Variate 'Y' for Return Period

(Calculation completed in 00.004 seconds)

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

Reduced Variate 'Y' in Gumbel's Method

LaTeX 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

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

Reduced Variate concerning Return Period

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

Frequency Factor as applicable to Infinite Sample Size

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

Reduced Variate 'Y' for given Return Period Formula

LaTeX Go

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

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 'Y' for given Return Period?

Reduced Variate 'Y' for given Return Period calculator uses Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1)))) to calculate the Reduced Variate 'Y' for Return Period, The Reduced Variate 'Y' for given Return Period formula is defined as the dimensionless variable in Gumbel's Method, one of the most widely used probability distribution functions for extreme values in hydrologic and meteorological studies for prediction of flood peaks. Reduced Variate 'Y' for Return Period is denoted by y_T symbol.

How to calculate Reduced Variate 'Y' for given Return Period using this online calculator? To use this online calculator for Reduced Variate 'Y' for given Return Period, enter Return Period (T_r) and hit the calculate button. Here is how the Reduced Variate 'Y' for given Return Period calculation can be explained with given input values -> 5.008378 = -(0.834+2.303*log10(log10(150/(150-1)))).

FAQ

What is Reduced Variate 'Y' for given Return Period?

The Reduced Variate 'Y' for given Return Period formula is defined as the dimensionless variable in Gumbel's Method, one of the most widely used probability distribution functions for extreme values in hydrologic and meteorological studies for prediction of flood peaks and is represented as y_T = -(0.834+2.303*log10(log10(T_r/(T_r-1)))) or Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1)))). Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.

How to calculate Reduced Variate 'Y' for given Return Period?

The Reduced Variate 'Y' for given Return Period formula is defined as the dimensionless variable in Gumbel's Method, one of the most widely used probability distribution functions for extreme values in hydrologic and meteorological studies for prediction of flood peaks is calculated using Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1)))). To calculate Reduced Variate 'Y' for given Return Period, you need Return Period (T_r). With our tool, you need to enter the respective value for Return Period 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' for Return Period?

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

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

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