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Exponential Relationship for Larger Catchments Formula

GoEquation of Straight-line Regression between Runoff and Rainfall Formula

GoRunoff Rainfall Regression by Logarithmic Transformation Formula

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Runoff is usually measured is either seasonal measured or annual measured. Check FAQs

R = β \cdot P^{m}

R - Runoff?β - Coefficient β?P - Rainfall?m - Coefficient m?

Exponential Relationship for Larger Catchments Example

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Here is how the Exponential Relationship for Larger Catchments equation looks like with Values.

Here is how the Exponential Relationship for Larger Catchments equation looks like with Units.

Here is how the Exponential Relationship for Larger Catchments equation looks like.

14.6076 = 4 \cdot 75^{0.3}

14.6076cm = 4 \cdot {75cm}^{0.3}

14.6076 = 4 \cdot 75^{0.3}

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Exponential Relationship for Larger Catchments Solution

Follow our step by step solution on how to calculate Exponential Relationship for Larger Catchments?

FIRST Step Consider the formula

R = β \cdot P^{m}

Next Step Substitute values of Variables

∴

R = 4 \cdot {75cm}^{0.3}

Next Step Prepare to Evaluate

∴

R = 4 \cdot 75^{0.3}

Next Step Evaluate

∴

R = 0.146075832591065m

Next Step Convert to Output's Unit

∴

R = 14.6075832591065cm

LAST Step Rounding Answer

∴

R = 14.6076cm

Exponential Relationship for Larger Catchments Formula Elements

Variables

Runoff

Runoff is usually measured is either seasonal measured or annual measured.

Symbol: R

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Runoff

Coefficient β

Coefficient β in Logarithmic Transformation reduces or removes the skewness of our original data.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient β

Rainfall

Rainfall is measured here is the annual rainfall in a particular year.

Symbol: P

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Rainfall

Coefficient m

Coefficient m in Logarithmic Transformation which reduces or removes the skewness of our original data.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient m

Other Formulas to find Runoff

Go Equation of Straight-line Regression between Runoff and Rainfall

R = a \cdot P + (B)

Go Runoff Rainfall Regression by Logarithmic Transformation

R = m \cdot \exp (\ln (P)) + \exp (\ln (β))

Other formulas in Rainfall Runoff Correlation category

Go Annual Precipitation in (i-2)th year given Antecedent Precipitation

P (i-2) = \frac{P a - a \cdot P i - b \cdot P (i-1)}{c}

Go Annual Precipitation in (i-1)th year given Antecedent Precipitation

P (i-1) = \frac{P a - a \cdot P i - c \cdot P (i-2)}{b}

Go Annual Precipitation in i-th year given Antecedent Precipitation

P i = \frac{P a - b \cdot P (i-1) - c \cdot P (i-2)}{a}

Go Precipitation using Runoff from Exponential Relationship

P = {(\frac{R}{β})}^{\frac{1}{m}}

How to Evaluate Exponential Relationship for Larger Catchments?

Exponential Relationship for Larger Catchments evaluator uses Runoff = Coefficient β*Rainfall^Coefficient m to evaluate the Runoff, The Exponential Relationship for Larger Catchments formula is defined as the exponential model that has been proven valid in many catchments to determine runoff. Runoff is denoted by R symbol.

How to evaluate Exponential Relationship for Larger Catchments using this online evaluator? To use this online evaluator for Exponential Relationship for Larger Catchments, enter Coefficient β (β), Rainfall (P) & Coefficient m (m) and hit the calculate button.

FAQs on Exponential Relationship for Larger Catchments

What is the formula to find Exponential Relationship for Larger Catchments?

The formula of Exponential Relationship for Larger Catchments is expressed as Runoff = Coefficient β*Rainfall^Coefficient m. Here is an example- 1460.758 = 4*0.75^0.3.

How to calculate Exponential Relationship for Larger Catchments?

With Coefficient β (β), Rainfall (P) & Coefficient m (m) we can find Exponential Relationship for Larger Catchments using the formula - Runoff = Coefficient β*Rainfall^Coefficient m.

What are the other ways to Calculate Runoff?

Here are the different ways to Calculate Runoff-

Runoff=Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression)
Runoff=Coefficient m*exp(ln(Rainfall))+exp(ln(Coefficient β))

Can the Exponential Relationship for Larger Catchments be negative?

No, the Exponential Relationship for Larger Catchments, measured in Length cannot be negative.

Which unit is used to measure Exponential Relationship for Larger Catchments?

Exponential Relationship for Larger Catchments is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Exponential Relationship for Larger Catchments can be measured.

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