Mid Year Census Date for Geometric Increase Method Calculator

✖Earlier Census Date is the date at which the population is noted.ⓘ Earlier Census Date [T_E]			+10% -10%
✖Population at Mid Year Census is the population at the mid year census date.ⓘ Population at Mid Year Census [P_M]			+10% -10%
✖Population at Earlier Census is the population at the earlier census date.ⓘ Population at Earlier Census [P_E]			+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 for Geometric Increase Method [T_M]

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Formula

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Mid Year Census Date for Geometric Increase Method

Formula

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

Example

`"28.65458"="20"+((log10("40")-log10("22"))/"0.03")`

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Mid Year Census Date for Geometric Increase Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mid-Year Census Date = Earlier Census Date+((log10(Population at Mid Year Census)-log10(Population at Earlier Census))/Proportionality Factor)
T_M = T_E+((log10(P_M)-log10(P_E))/K_G)
This formula uses 1 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)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Earlier Census Date: 20 --> No Conversion Required
Population at Mid Year Census: 40 --> No Conversion Required
Population at Earlier Census: 22 --> No Conversion Required
Proportionality Factor: 0.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_M = T_E+((log10(P_M)-log10(P_E))/K_G) --> 20+((log10(40)-log10(22))/0.03)

Evaluating ... ...

T_M = 28.6545770168585

STEP 3: Convert Result to Output's Unit

28.6545770168585 --> No Conversion Required

FINAL ANSWER

28.6545770168585 ≈ 28.65458 <-- Mid-Year Census Date

(Calculation completed in 00.004 seconds)

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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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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))

Mid Year Census Date for Geometric Increase Method Formula

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

What is Geometric Increase Method?

The Geometric Increase Method is the population forecasting method in which the percentage increase in population from decade to decade is assumed to remain constant.It is also known as the logarithmic growth method or exponential growth method.

How to Calculate Mid Year Census Date for Geometric Increase Method?

Mid Year Census Date for Geometric Increase Method calculator uses Mid-Year Census Date = Earlier Census Date+((log10(Population at Mid Year Census)-log10(Population at Earlier Census))/Proportionality Factor) to calculate the Mid-Year Census Date, The Mid Year Census Date for Geometric Increase Method is defined as the value of mid year census date when we have prior information of other parameters used. Mid-Year Census Date is denoted by T_M symbol.

How to calculate Mid Year Census Date for Geometric Increase Method using this online calculator? To use this online calculator for Mid Year Census Date for Geometric Increase Method, enter Earlier Census Date (T_E), Population at Mid Year Census (P_M), Population at Earlier Census (P_E) & Proportionality Factor (K_G) and hit the calculate button. Here is how the Mid Year Census Date for Geometric Increase Method calculation can be explained with given input values -> 28.65458 = 20+((log10(40)-log10(22))/0.03).

FAQ

What is Mid Year Census Date for Geometric Increase Method?

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

How to calculate Mid Year Census Date for Geometric Increase Method?

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