Enter the initial population, growth rate, and number of years into the calculator to predict the future population size. This calculator uses an exponential growth model to estimate population changes over time.
Population Prediction Formula
The following formula is used to calculate the predicted population size.
P = P₀ * (1 + r)^t
Variables:
- P is the predicted population size
- P₀ is the initial population size
- r is the growth rate (expressed as a decimal)
- t is the number of years
To calculate the predicted population size, multiply the initial population size by the growth factor, which is one plus the growth rate raised to the power of the number of years.
What is Population Prediction?
Population prediction is the process of estimating the future size of a population based on current data and trends. This is often done using mathematical models that take into account factors such as birth rates, death rates, immigration, and emigration. Predicting population size is important for planning in areas such as urban development, resource management, and public policy.
How to Calculate Population Prediction?
The following steps outline how to calculate the predicted population size.
- First, determine the initial population size (P₀).
- Next, determine the growth rate (r) as a percentage and convert it to a decimal by dividing by 100.
- Next, determine the number of years (t) over which the population is predicted to grow.
- Next, gather the formula from above = P = P₀ * (1 + r)^t.
- Finally, calculate the predicted population size (P).
- 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 size (P₀) = 1000
Growth rate (r) = 2%
Number of years (t) = 10
