Population at Earlier Census for Geometric Increase Method Formula

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The Population at Earlier Census refers to the population at the earlier census date. Check FAQs
PE=exp(log10(PM)-KG(TM-TE))
PE - Population at Earlier Census?PM - Population at Mid Year Census?KG - Proportionality Factor?TM - Mid-Year Census Date?TE - Earlier Census Date?

Population at Earlier Census for Geometric Increase Method Example

With values
With units
Only example

Here is how the Population at Earlier Census for Geometric Increase Method equation looks like with Values.

Here is how the Population at Earlier Census for Geometric Increase Method equation looks like with Units.

Here is how the Population at Earlier Census for Geometric Increase Method equation looks like.

3.7888Edit=exp(log10(40Edit)-0.03Edit(29Edit-20Edit))
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Population at Earlier Census for Geometric Increase Method Solution

Follow our step by step solution on how to calculate Population at Earlier Census for Geometric Increase Method?

FIRST Step Consider the formula
PE=exp(log10(PM)-KG(TM-TE))
Next Step Substitute values of Variables
PE=exp(log10(40)-0.03(29-20))
Next Step Prepare to Evaluate
PE=exp(log10(40)-0.03(29-20))
Next Step Evaluate
PE=3.78884033221977
LAST Step Rounding Answer
PE=3.7888

Population at Earlier Census for Geometric Increase Method Formula Elements

Variables
Functions
Population at Earlier Census
The Population at Earlier Census refers to the population at the earlier census date.
Symbol: PE
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Population at Mid Year Census
The Population at Mid Year Census refers to the population at the mid year census date.
Symbol: PM
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Proportionality Factor
Proportionality Factor is defined as rate of change of population.
Symbol: KG
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Mid-Year Census Date
The Mid-Year Census Date refers to the date at which population is noted.
Symbol: TM
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Earlier Census Date
The Earlier Census Date refers to the date at which the population is noted.
Symbol: TE
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Syntax: 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.
Syntax: exp(Number)

Other formulas in Inter Censal Period category

​Go Population at Mid Year for Geometric Increase Method
PM=exp(log10(PE)+KG(TM-TE))
​Go Proportionality Factor for Geometric Increase Method
KG=log10(PM)-log10(PE)TM-TE
​Go Mid Year Census Date for Geometric Increase Method
TM=TE+(log10(PM)-log10(PE)KG)
​Go Earlier Census Date for Geometric Increase Method
TE=TM-(log10(PM)-log10(PE)KG)

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

Population at Earlier Census for Geometric Increase Method evaluator uses Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)) to evaluate 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 PE symbol.

How to evaluate Population at Earlier Census for Geometric Increase Method using this online evaluator? To use this online evaluator for Population at Earlier Census for Geometric Increase Method, enter Population at Mid Year Census (PM), Proportionality Factor (KG), Mid-Year Census Date (TM) & Earlier Census Date (TE) and hit the calculate button.

FAQs on Population at Earlier Census for Geometric Increase Method

What is the formula to find Population at Earlier Census for Geometric Increase Method?
The formula of Population at Earlier Census for Geometric Increase Method is expressed as Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)). Here is an example- 3.78884 = exp(log10(40)-0.03*(29-20)).
How to calculate Population at Earlier Census for Geometric Increase Method?
With Population at Mid Year Census (PM), Proportionality Factor (KG), Mid-Year Census Date (TM) & Earlier Census Date (TE) we can find Population at Earlier Census for Geometric Increase Method using the formula - Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)). This formula also uses Common Logarithm (log10), Exponential Growth (exp) function(s).
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