Population at Earlier Census for Geometric Increase Method Calculator

✖Population at Mid Year Census is the population at the mid year census date.ⓘ Population at Mid Year Census [P_M]			+10% -10%
✖Proportionality Factor is defined as rate of change of population.ⓘ Proportionality Factor [K_G]			+10% -10%
✖Mid-Year Census Date is the date at which population is noted.ⓘ Mid-Year Census Date [T_M]			+10% -10%
✖Earlier Census Date is the date at which the population is noted.ⓘ Earlier Census Date [T_E]			+10% -10%

✖Population at Earlier Census is the population at the earlier census date.ⓘ Population at Earlier Census for Geometric Increase Method [P_E]

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Formula

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Population at Earlier Census for Geometric Increase Method

Formula

`"P"_{"E"} = exp(log10("P"_{"M"})-"K"_{"G"}*("T"_{"M"}-"T"_{"E"}))`

Example

`"3.78884"=exp(log10("40")-"0.03"*("29"-"20"))`

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Population at Earlier Census for Geometric Increase Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))
P_E = exp(log10(P_M)-K_G*(T_M-T_E))
This formula uses 2 Functions, 5 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)
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Population at Earlier Census - Population at Earlier Census is the population at the earlier census date.
Population at Mid Year Census - Population at Mid Year Census is the population at the mid year census date.
Proportionality Factor - Proportionality Factor is defined as rate of change of population.
Mid-Year Census Date - Mid-Year Census Date is the date at which population is noted.
Earlier Census Date - Earlier Census Date is the date at which the population is noted.

STEP 1: Convert Input(s) to Base Unit

Population at Mid Year Census: 40 --> No Conversion Required
Proportionality Factor: 0.03 --> No Conversion Required
Mid-Year Census Date: 29 --> No Conversion Required
Earlier Census Date: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_E = exp(log10(P_M)-K_G*(T_M-T_E)) --> exp(log10(40)-0.03*(29-20))

Evaluating ... ...

P_E = 3.78884033221977

STEP 3: Convert Result to Output's Unit

3.78884033221977 --> No Conversion Required

FINAL ANSWER

3.78884033221977 ≈ 3.78884 <-- Population at Earlier Census

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Demand and Quantity » Determination of Population For Inter Censal and Post Censal Years » Geometric Increase Method » Inter Censal Period » Population at Earlier Census for Geometric Increase Method

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Inter Censal Period Calculators

Proportionality Factor for Geometric Increase Method

Go Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date)

Mid Year Census Date for Geometric Increase Method

Go Mid-Year Census Date = Earlier Census Date+((log10(Population at Mid Year Census)-log10(Population at Earlier Census))/Proportionality Factor)

Earlier Census Date for Geometric Increase Method

Go Earlier Census Date = Mid-Year Census Date-((log10(Population at Mid Year Census)-log10(Population at Earlier Census))/Proportionality Factor)

Population at Earlier Census for Geometric Increase Method

Go Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))

Population at Mid Year for Geometric Increase Method

Go Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))

Population at Earlier Census for Geometric Increase Method Formula

Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))
P_E = exp(log10(P_M)-K_G*(T_M-T_E))

What is Population?

A Population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic.

How to Calculate Population at Earlier Census for Geometric Increase Method?

Population at Earlier Census for Geometric Increase Method calculator uses Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)) to calculate the Population at Earlier Census, The Population at Earlier Census for Geometric Increase Method is defined as the value of population at earlier census when we have prior information of other parameters used. Population at Earlier Census is denoted by P_E symbol.

How to calculate Population at Earlier Census for Geometric Increase Method using this online calculator? To use this online calculator for Population at Earlier Census for Geometric Increase Method, enter Population at Mid Year Census (P_M), Proportionality Factor (K_G), Mid-Year Census Date (T_M) & Earlier Census Date (T_E) and hit the calculate button. Here is how the Population at Earlier Census for Geometric Increase Method calculation can be explained with given input values -> 3.78884 = exp(log10(40)-0.03*(29-20)).

FAQ

What is Population at Earlier Census for Geometric Increase Method?

The Population at Earlier Census for Geometric Increase Method is defined as the value of population at earlier census when we have prior information of other parameters used and is represented as P_E = exp(log10(P_M)-K_G*(T_M-T_E)) or Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)). Population at Mid Year Census is the population at the mid year census date, Proportionality Factor is defined as rate of change of population, Mid-Year Census Date is the date at which population is noted & Earlier Census Date is the date at which the population is noted.

How to calculate Population at Earlier Census for Geometric Increase Method?

The Population at Earlier Census for Geometric Increase Method is defined as the value of population at earlier census when we have prior information of other parameters used is calculated using Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)). To calculate Population at Earlier Census for Geometric Increase Method, you need Population at Mid Year Census (P_M), Proportionality Factor (K_G), Mid-Year Census Date (T_M) & Earlier Census Date (T_E). With our tool, you need to enter the respective value for Population at Mid Year Census, Proportionality Factor, Mid-Year Census Date & Earlier Census Date 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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