Annual Precipitation in i-th year given Antecedent Precipitation Calculator

✖Antecedent Precipitation Index is a running day by day measure of catchment wetness based on the rainfall that has occurred over preceding days.ⓘ Antecedent Precipitation Index [P_a]			+10% -10%
✖Coefficient 'b' with their sum equal to unity.ⓘ Coefficient 'b' [b]			+10% -10%
✖Precipitation in (i-1)th Year for Antecedent Precipitation Index, a running day by day measure of catchment wetness based on the rainfall that has occurred over preceding days.ⓘ Precipitation in (i-1)th Year [P_(i-1)]			+10% -10%
✖Coefficient 'c' with their sum equal to unity.ⓘ Coefficient 'c' [c]			+10% -10%
✖Precipitation in (i-2)th Year for Antecedent Precipitation Index, a running day by day measure of catchment wetness based on rainfall that has occurred over preceding days.ⓘ Precipitation in (i-2)th Year [P_(i-2)]			+10% -10%
✖Coefficient 'a' in straight-line regression between runoff and rainfall. The sum of other coefficients will be unity and found by trial and error.ⓘ Coefficient 'a' [a]			+10% -10%

✖Precipitation in (i)th Year for Antecedent Precipitation Index, a running day by day measure of catchment wetness based on the rainfall that has occurred over preceding days.ⓘ Annual Precipitation in i-th year given Antecedent Precipitation [P_i]

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Annual Precipitation in i-th year given Antecedent Precipitation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Precipitation in (i)th Year = (Antecedent Precipitation Index-Coefficient 'b'*Precipitation in (i-1)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'a'
P_i = (P_a-b*P_(i-1)-c*P_(i-2))/a
This formula uses 7 Variables

Variables Used

Precipitation in (i)th Year - (Measured in Centimeter) - Precipitation in (i)th Year for Antecedent Precipitation Index, a running day by day measure of catchment wetness based on the rainfall that has occurred over preceding days.
Antecedent Precipitation Index - (Measured in Centimeter) - Antecedent Precipitation Index is a running day by day measure of catchment wetness based on the rainfall that has occurred over preceding days.
Coefficient 'b' - Coefficient 'b' with their sum equal to unity.
Precipitation in (i-1)th Year - (Measured in Centimeter) - Precipitation in (i-1)th Year for Antecedent Precipitation Index, a running day by day measure of catchment wetness based on the rainfall that has occurred over preceding days.
Coefficient 'c' - Coefficient 'c' with their sum equal to unity.
Precipitation in (i-2)th Year - (Measured in Centimeter) - Precipitation in (i-2)th Year for Antecedent Precipitation Index, a running day by day measure of catchment wetness based on rainfall that has occurred over preceding days.
Coefficient 'a' - Coefficient 'a' in straight-line regression between runoff and rainfall. The sum of other coefficients will be unity and found by trial and error.

STEP 1: Convert Input(s) to Base Unit

Antecedent Precipitation Index: 96.39 Centimeter --> 96.39 Centimeter No Conversion Required
Coefficient 'b': 0.1 --> No Conversion Required
Precipitation in (i-1)th Year: 121 Centimeter --> 121 Centimeter No Conversion Required
Coefficient 'c': 0.11 --> No Conversion Required
Precipitation in (i-2)th Year: 84 Centimeter --> 84 Centimeter No Conversion Required
Coefficient 'a': 0.79 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = (P_a-b*P_(i-1)-c*P_(i-2))/a --> (96.39-0.1*121-0.11*84)/0.79

Evaluating ... ...

P_i = 95

STEP 3: Convert Result to Output's Unit

0.95 Meter -->95 Centimeter (Check conversion here)

FINAL ANSWER

95 Centimeter <-- Precipitation in (i)th Year

(Calculation completed in 00.021 seconds)

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< Rainfall Runoff Correlation Calculators

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

LaTeX Go Precipitation in (i-2)th Year = (Antecedent Precipitation Index-Coefficient 'a'*Precipitation in (i)th Year-Coefficient 'b'*Precipitation in (i-1)th Year)/Coefficient 'c'

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

LaTeX Go Precipitation in (i-1)th Year = (Antecedent Precipitation Index-Coefficient 'a'*Precipitation in (i)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'b'

Annual Precipitation in i-th year given Antecedent Precipitation

LaTeX Go Precipitation in (i)th Year = (Antecedent Precipitation Index-Coefficient 'b'*Precipitation in (i-1)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'a'

Precipitation using Runoff from Exponential Relationship

LaTeX Go Rainfall = (Runoff/Coefficient β)^(1/Coefficient m)

Annual Precipitation in i-th year given Antecedent Precipitation Formula

LaTeX Go

What is Precipitation?

Precipitation is any product of the condensation of atmospheric water vapor that falls under gravitational pull from clouds. The main forms of precipitation include drizzling, rain, sleet, snow, ice pellets, graupel and hail.

What is Antecedent Moisture Condition?

Antecedent moisture condition is how wet or dry that soil storage sponge is when it starts to rain. If the soil storage sponge is already saturated before the storm hits, only a small percentage of the rainfall can be absorbed, meaning a large portion of the rainfall total will become runoff.

How to Calculate Annual Precipitation in i-th year given Antecedent Precipitation?

Annual Precipitation in i-th year given Antecedent Precipitation calculator uses Precipitation in (i)th Year = (Antecedent Precipitation Index-Coefficient 'b'*Precipitation in (i-1)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'a' to calculate the Precipitation in (i)th Year, The Annual Precipitation in i-th year given Antecedent Precipitation formula is defined as the total precipitation in the current year under consideration for the Antecedent Precipitation index. Precipitation in (i)th Year is denoted by P_i symbol.

How to calculate Annual Precipitation in i-th year given Antecedent Precipitation using this online calculator? To use this online calculator for Annual Precipitation in i-th year given Antecedent Precipitation, enter Antecedent Precipitation Index (P_a), Coefficient 'b' (b), Precipitation in (i-1)th Year (P_(i-1)), Coefficient 'c' (c), Precipitation in (i-2)th Year (P_(i-2)) & Coefficient 'a' (a) and hit the calculate button. Here is how the Annual Precipitation in i-th year given Antecedent Precipitation calculation can be explained with given input values -> 8944.304 = (0.9639-0.1*1.21-0.11*0.84)/0.79.

FAQ

What is Annual Precipitation in i-th year given Antecedent Precipitation?

The Annual Precipitation in i-th year given Antecedent Precipitation formula is defined as the total precipitation in the current year under consideration for the Antecedent Precipitation index and is represented as P_i = (P_a-b*P_(i-1)-c*P_(i-2))/a or Precipitation in (i)th Year = (Antecedent Precipitation Index-Coefficient 'b'*Precipitation in (i-1)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'a'. Antecedent Precipitation Index is a running day by day measure of catchment wetness based on the rainfall that has occurred over preceding days, Coefficient 'b' with their sum equal to unity, Precipitation in (i-1)th Year for Antecedent Precipitation Index, a running day by day measure of catchment wetness based on the rainfall that has occurred over preceding days, Coefficient 'c' with their sum equal to unity, Precipitation in (i-2)th Year for Antecedent Precipitation Index, a running day by day measure of catchment wetness based on rainfall that has occurred over preceding days & Coefficient 'a' in straight-line regression between runoff and rainfall. The sum of other coefficients will be unity and found by trial and error.

How to calculate Annual Precipitation in i-th year given Antecedent Precipitation?

The Annual Precipitation in i-th year given Antecedent Precipitation formula is defined as the total precipitation in the current year under consideration for the Antecedent Precipitation index is calculated using Precipitation in (i)th Year = (Antecedent Precipitation Index-Coefficient 'b'*Precipitation in (i-1)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'a'. To calculate Annual Precipitation in i-th year given Antecedent Precipitation, you need Antecedent Precipitation Index (P_a), Coefficient 'b' (b), Precipitation in (i-1)th Year (P_(i-1)), Coefficient 'c' (c), Precipitation in (i-2)th Year (P_(i-2)) & Coefficient 'a' (a). With our tool, you need to enter the respective value for Antecedent Precipitation Index, Coefficient 'b', Precipitation in (i-1)th Year, Coefficient 'c', Precipitation in (i-2)th Year & Coefficient 'a' 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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