Population at Earlier Census given Proportionality Factor Calculator

✖Population at Last Census is the population at the date of last census.ⓘ Population at Last Census [P_L]			+10% -10%
✖The Last Census Date is the date at which the population is noted.ⓘ Last Census Date [T_L]			+10% -10%
✖Earlier Census Date is the date at which the population is noted.ⓘ Earlier Census Date [T_E]			+10% -10%
✖Proportionality Factor is defined as rate of change of population.ⓘ Proportionality Factor [K_G]			+10% -10%

✖Population at Earlier Census is the population at the earlier census date.ⓘ Population at Earlier Census given Proportionality Factor [P_E]

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Formula

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Population at Earlier Census given Proportionality Factor

Formula

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

Example

`"3.785762"=exp(log10("20.01")-("19"-"20")*"0.03")`

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Population at Earlier Census given Proportionality Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Population at Earlier Census = exp(log10(Population at Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor)
P_E = exp(log10(P_L)-(T_L-T_E)*K_G)
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 Last Census - Population at Last Census is the population at the date of last census.
Last Census Date - The Last Census Date is the date at which the population is noted.
Earlier Census Date - Earlier Census Date is the date at which the population is noted.
Proportionality Factor - Proportionality Factor is defined as rate of change of population.

STEP 1: Convert Input(s) to Base Unit

Population at Last Census: 20.01 --> No Conversion Required
Last Census Date: 19 --> No Conversion Required
Earlier Census Date: 20 --> No Conversion Required
Proportionality Factor: 0.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_E = exp(log10(P_L)-(T_L-T_E)*K_G) --> exp(log10(20.01)-(19-20)*0.03)

Evaluating ... ...

P_E = 3.78576162522923

STEP 3: Convert Result to Output's Unit

3.78576162522923 --> No Conversion Required

FINAL ANSWER

3.78576162522923 ≈ 3.785762 <-- 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 » Post Censal Period » Population at Earlier Census given Proportionality Factor

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 6 Post Censal Period Calculators

Proportionality Factor for Geometric Increase Method Post Censal

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

Mid Year Census Date for Geometric Increase Method Post Censal

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

Last Census Date for Geometric Increase Method Post Censal

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

Population at Last Census for Geometric Increase Method Post Censal

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

Population at Mid Year for Geometric Increase Method Post Censal

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

Population at Earlier Census given Proportionality Factor

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

Population at Earlier Census given Proportionality Factor Formula

Population at Earlier Census = exp(log10(Population at Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor)
P_E = exp(log10(P_L)-(T_L-T_E)*K_G)

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 given Proportionality Factor?

Population at Earlier Census given Proportionality Factor calculator uses Population at Earlier Census = exp(log10(Population at Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor) to calculate the Population at Earlier Census, The Population at Earlier Census given Proportionality Factor 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 given Proportionality Factor using this online calculator? To use this online calculator for Population at Earlier Census given Proportionality Factor, enter Population at Last Census (P_L), Last Census Date (T_L), Earlier Census Date (T_E) & Proportionality Factor (K_G) and hit the calculate button. Here is how the Population at Earlier Census given Proportionality Factor calculation can be explained with given input values -> 3.78494 = exp(log10(20.01)-(19-20)*0.03).

FAQ

What is Population at Earlier Census given Proportionality Factor?

The Population at Earlier Census given Proportionality Factor 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_L)-(T_L-T_E)*K_G) or Population at Earlier Census = exp(log10(Population at Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor). Population at Last Census is the population at the date of last census, The Last Census Date is the date at which the population is noted, Earlier Census Date is the date at which the population is noted & Proportionality Factor is defined as rate of change of population.

How to calculate Population at Earlier Census given Proportionality Factor?

The Population at Earlier Census given Proportionality Factor 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 Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor). To calculate Population at Earlier Census given Proportionality Factor, you need Population at Last Census (P_L), Last Census Date (T_L), Earlier Census Date (T_E) & Proportionality Factor (K_G). With our tool, you need to enter the respective value for Population at Last Census, Last Census Date, Earlier Census Date & Proportionality Factor 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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