Population Projection Formula in Excel (3 Applications)

There are 3 common ways you can forecast or project the future population in Excel.

  • Linear Projection
  • Geometric Projection
  • Exponential Projection

Linear projection is rarely used. It should be used only when the population censuses from the recent past are available, the population growth rates are stable, and the projection year is in the near future. This method assumes that the population is increasing at a constant rate.

Geographical projection is the most used projection method. It focuses on the percentage change rather than the numeric change of the population. Instead of consistency in numeric increase, it assumes the growth rate is constant.

In exponential projection, the rate of change in population is assumed to be directly proportional to the current population and the growth rate percentage.


Method 1 – Linear Population Projection Formula

The Linear Population Projection formula is:

Pt = P0 + m × ∆t

Where,
Pt = Projected Population
P0 = Latest Population
m = Average Increase
∆t = Number of Periods

The following dataset contains the population of the last 5 years in the USA. We have calculated the population growth in column D.

Population census data

Steps:

  • Add the following formula in cell E6 and drag the Fill Handle icon below.
=C6-C5

calculate yearly increase

=AVERAGE(E5:E9)

calculate the average increase

  • Enter the following formula in cell E16 to get the projected population.
=E13+E15*E11

linear population projection formula


Method 2 – Geometric Population Projection Formula

The Geometric Population Projection formula is:

Pt = P0 (1 + r)n

Where,
Pt = Projected Population
P0 = Base Year Population
r = Growth Rate
n = Number of Periods

  • This sample dataset contains the base year population, the average growth rate for the coming years, and the total number of periods until the projection year.

dataset for geometric projection

  • Apply the following formula in cell C9 to get the Geometric Population Projection.
=C7*(1+C8)^C6

geometric population projection formula


Method 3 – Exponential Population Projection Formula

The Exponential Population Projection formula is:

Pt = P0 er × t

Where,
Pt = Projected Population
P0 = Base Year Population
r = Growth Rate
t = Total Periods

  • Enter the following formula in cell C9 to get the Exponential Population Projection.
=C7*EXP(C8*C6)
  • We used the EXP function, which returns the value of the constant e based on the power.

exponential population projection formula

Read More: How to Analyze Demographic Data in Excel


Things to Remember

  • Try to avoid using the linear projection unless you have enough data that meets the criteria described earlier.
  • You may find a slight difference in the results using the geographical and exponential projections.

Download Practice Workbook


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Md. Shamim Reza
Md. Shamim Reza

Md. Shamim Reza, a marine engineer with expertise in Excel and a fervent interest in VBA programming, sees programming as a time-saving tool for data manipulation, file handling, and internet interaction. His diverse skill set encompasses Rhino3D, Maxsurf C++, AutoCAD, Deep Neural Networks, and Machine Learning. He holds a B.Sc in Naval Architecture & Marine Engineering from BUET and has transitioned into a content developer role, generating technical content focused on Excel and VBA. Beyond his professional pursuits,... Read Full Bio

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