Enter the initial population, growth rate, and time span into the calculator to determine the final population. This calculator uses the exponential growth model to estimate population size after a certain number of years.
Population Rate Formula
The following formula is used to calculate the final population based on the initial population, growth rate, and time span.
FP = IP * (1 + r)^t
Variables:
- FP is the final population
- IP is the initial population
- r is the growth rate (expressed as a decimal)
- t is the time span in years
To calculate the final population, multiply the initial population by the growth factor, (1 + r), raised to the power of the time span, t.
What is Population Growth Rate?
Population growth rate is the rate at which the number of individuals in a population increases in a given time period as a result of births, deaths, and migration. It is often expressed as a percentage. Understanding the population growth rate is crucial for planning in areas such as urban development, resource management, and environmental conservation.
How to Calculate Final Population?
The following steps outline how to calculate the final population using the exponential growth model.
- First, determine the initial population (IP).
- Next, determine the growth rate (r) as a percentage and convert it to a decimal by dividing by 100.
- Next, determine the time span (t) in years.
- Next, gather the formula from above = FP = IP * (1 + r)^t.
- Finally, calculate the final population (FP).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Initial Population (IP) = 1000 individuals
Growth Rate (r) = 2%
Time Span (t) = 10 years
