Present Population given Future Population from Incremental Increase Method Calculator

✖Forecasted Population is the population forested usually after n decade or after n years.ⓘ Forecasted Population [P_n]			+10% -10%
✖Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade.ⓘ Number of Decades [n]			+10% -10%
✖Average Arithmetic Increase in Population per decade.ⓘ Average Arithmetic Increase in Population [x̄]			+10% -10%
✖Average Incremental Increase in Population per decade. It can be positive(+ve) or negative(-ve).ⓘ Average Incremental Increase in Population [ȳ]			+10% -10%

✖Last Known Population is the population of any area of the previous year or decade.ⓘ Present Population given Future Population from Incremental Increase Method [P_o]

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Present Population given Future Population from Incremental Increase Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Last Known Population = Forecasted Population-Number of Decades*Average Arithmetic Increase in Population-(Number of Decades*(Number of Decades+1)/2)*Average Incremental Increase in Population
P_o = P_n-n*x̄-(n*(n+1)/2)*ȳ
This formula uses 5 Variables

Variables Used

Last Known Population - Last Known Population is the population of any area of the previous year or decade.
Forecasted Population - Forecasted Population is the population forested usually after n decade or after n years.
Number of Decades - Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade.
Average Arithmetic Increase in Population - Average Arithmetic Increase in Population per decade.
Average Incremental Increase in Population - Average Incremental Increase in Population per decade. It can be positive(+ve) or negative(-ve).

STEP 1: Convert Input(s) to Base Unit

Forecasted Population: 350000 --> No Conversion Required
Number of Decades: 2 --> No Conversion Required
Average Arithmetic Increase in Population: 25500 --> No Conversion Required
Average Incremental Increase in Population: 8000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_o = P_n-n*x̄-(n*(n+1)/2)*ȳ --> 350000-2*25500-(2*(2+1)/2)*8000

Evaluating ... ...

P_o = 275000

STEP 3: Convert Result to Output's Unit

275000 --> No Conversion Required

FINAL ANSWER

275000 <-- Last Known Population

(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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< Incremental Increase Method Calculators

Average Arithmetic Increase Per Decade given Future Population from Incremental Increase Method

LaTeX Go Average Arithmetic Increase in Population = (Forecasted Population-Last Known Population-(Number of Decades*(Number of Decades+1)/2)*Average Incremental Increase in Population)/Number of Decades

Average Incremental Increase given Future Population from Incremental Increase Method

LaTeX Go Average Incremental Increase in Population = (Forecasted Population-Last Known Population-Number of Decades*Average Arithmetic Increase in Population)/(Number of Decades*(Number of Decades+1)/2)

Present Population given Future Population from Incremental Increase Method

LaTeX Go Last Known Population = Forecasted Population-Number of Decades*Average Arithmetic Increase in Population-(Number of Decades*(Number of Decades+1)/2)*Average Incremental Increase in Population

Future Population at End of n Decades in Incremental Increase Method

LaTeX Go Forecasted Population = Last Known Population+Number of Decades*Average Arithmetic Increase in Population+(Number of Decades*(Number of Decades+1)/2)*Average Incremental Increase in Population

Present Population given Future Population from Incremental Increase Method Formula

LaTeX Go

What is Population Forecasting and Methods Involved?

Population forecasting is defined as the method of determining the expected population for a particular design period of a water supply system with the help of the study and analysis of future events and available records.
Methods are
1. Arithmetic Increase Method
2. Geometric Increase Method
3. Incremental Increase Method
4. Decrease Growth Rate Method
5. Logistic Curve Method
6. Demographic Method
7. Simple Graphical Method
8. Comparative Graphical Method
9. Master Plan Method
10. Ratio Method

What is Incremental Increase Method?

In this method, per decade growth rate is not assumed to be constant but is progressively increasing or decreasing, depending upon whether the average of the incremental increase in the past data is positive or negative.
It is also known as the Method of Varying Increment.

How to Calculate Present Population given Future Population from Incremental Increase Method?

Present Population given Future Population from Incremental Increase Method calculator uses Last Known Population = Forecasted Population-Number of Decades*Average Arithmetic Increase in Population-(Number of Decades*(Number of Decades+1)/2)*Average Incremental Increase in Population to calculate the Last Known Population, The Present Population given Future Population from Incremental Increase Method formula is defined as the present population when we have prior information on other parameters used. Last Known Population is denoted by P_o symbol.

How to calculate Present Population given Future Population from Incremental Increase Method using this online calculator? To use this online calculator for Present Population given Future Population from Incremental Increase Method, enter Forecasted Population (P_n), Number of Decades (n), Average Arithmetic Increase in Population (x̄) & Average Incremental Increase in Population (ȳ) and hit the calculate button. Here is how the Present Population given Future Population from Incremental Increase Method calculation can be explained with given input values -> 275000 = 350000-2*25500-(2*(2+1)/2)*8000.

FAQ

What is Present Population given Future Population from Incremental Increase Method?

The Present Population given Future Population from Incremental Increase Method formula is defined as the present population when we have prior information on other parameters used and is represented as P_o = P_n-n*x̄-(n*(n+1)/2)*ȳ or Last Known Population = Forecasted Population-Number of Decades*Average Arithmetic Increase in Population-(Number of Decades*(Number of Decades+1)/2)*Average Incremental Increase in Population. Forecasted Population is the population forested usually after n decade or after n years, Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade, Average Arithmetic Increase in Population per decade & Average Incremental Increase in Population per decade. It can be positive(+ve) or negative(-ve).

How to calculate Present Population given Future Population from Incremental Increase Method?

The Present Population given Future Population from Incremental Increase Method formula is defined as the present population when we have prior information on other parameters used is calculated using Last Known Population = Forecasted Population-Number of Decades*Average Arithmetic Increase in Population-(Number of Decades*(Number of Decades+1)/2)*Average Incremental Increase in Population. To calculate Present Population given Future Population from Incremental Increase Method, you need Forecasted Population (P_n), Number of Decades (n), Average Arithmetic Increase in Population (x̄) & Average Incremental Increase in Population (ȳ). With our tool, you need to enter the respective value for Forecasted Population, Number of Decades, Average Arithmetic Increase in Population & Average Incremental Increase in Population and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Last Known Population?

In this formula, Last Known Population uses Forecasted Population, Number of Decades, Average Arithmetic Increase in Population & Average Incremental Increase in Population. We can use 2 other way(s) to calculate the same, which is/are as follows -

Last Known Population = Forecasted Population-2*Average Arithmetic Increase in Population-(2*(2+1)/2)*Average Incremental Increase in Population
Last Known Population = Forecasted Population-3*Average Arithmetic Increase in Population-(3*(3+1)/2)*Average Incremental Increase in Population

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