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Partial Duration Series Formula

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Partial Duration Series are series composed of all and only the high flow events which exceed a pre-determined threshold value. Check FAQs

T P = \frac{1}{(\ln (T A)) - (\ln (T A - 1))}

T_P - Partial Duration Series?T_A - Annual Series?

Partial Duration Series Example

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Here is how the Partial Duration Series equation looks like with Values.

Here is how the Partial Duration Series equation looks like with Units.

Here is how the Partial Duration Series equation looks like.

19.4957 = \frac{1}{(\ln (20)) - (\ln (20 - 1))}

19.4957 = \frac{1}{(\ln (20)) - (\ln (20 - 1))}

19.4957 = \frac{1}{(\ln (20)) - (\ln (20 - 1))}

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Partial Duration Series Solution

Follow our step by step solution on how to calculate Partial Duration Series?

FIRST Step Consider the formula

T P = \frac{1}{(\ln (T A)) - (\ln (T A - 1))}

Next Step Substitute values of Variables

∴

T P = \frac{1}{(\ln (20)) - (\ln (20 - 1))}

Next Step Prepare to Evaluate

∴

T P = \frac{1}{(\ln (20)) - (\ln (20 - 1))}

Next Step Evaluate

∴

T P = 19.4957257462237

LAST Step Rounding Answer

∴

T P = 19.4957

Partial Duration Series Formula Elements

Variables

Functions

Partial Duration Series

Partial Duration Series are series composed of all and only the high flow events which exceed a pre-determined threshold value.

Symbol: T_P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Partial Duration Series

Annual Series

Annual Series are series composed of all and only the high flow events which exceed a pre-determined threshold value.

Symbol: T_A

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Annual Series

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Log Pearson Type III Distribution category

Go Equation for Base Series of Z Variates

z m = \log 10 (z)

Go Equation for Z Series for any Recurrence Interval

Z t = z m + K z \cdot σ

Go Frequency Factor given Z Series for Recurrence Interval

K z = \frac{Z t - z m}{σ}

Go Mean Series of Z Variates given Z Series for Recurrence Interval

z m = Z t - K z \cdot σ

How to Evaluate Partial Duration Series?

Partial Duration Series evaluator uses Partial Duration Series = 1/((ln(Annual Series))-(ln(Annual Series-1))) to evaluate the Partial Duration Series, The Partial Duration Series formula is defined as the series composed of all the values that occur within a period of record and which exceed a pre-determined threshold value. Partial Duration Series is denoted by T_P symbol.

How to evaluate Partial Duration Series using this online evaluator? To use this online evaluator for Partial Duration Series, enter Annual Series (T_A) and hit the calculate button.

FAQs on Partial Duration Series

What is the formula to find Partial Duration Series?

The formula of Partial Duration Series is expressed as Partial Duration Series = 1/((ln(Annual Series))-(ln(Annual Series-1))). Here is an example- 19.49573 = 1/((ln(20))-(ln(20-1))).

How to calculate Partial Duration Series?

With Annual Series (T_A) we can find Partial Duration Series using the formula - Partial Duration Series = 1/((ln(Annual Series))-(ln(Annual Series-1))). This formula also uses Natural Logarithm (ln) function(s).

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