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📘 Population growth is a change measured across time

Start with two population counts and the time interval between them. Let N0 be the population at the beginning and Nt be the population at the end. The absolute change is Nt minus N0, while the average change per unit time is that differenc

3
lessons
~15 min
to learn
Adults
level
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What you’ll learn

  1. Measure changeDefine interval counts, percent change, growth factor, and per-capita rate.Every growth calculation needs two counts, a time span, and visible units.
  2. Model the curveContrast exponential and logistic models with carrying capacity K.Exponential fits short intervals; logistic adds density-dependent slowing near K.
  3. Compare and checkCompare model forecasts and audit assumptions, migration, and residuals.Population size and growth rate are different measurements.

Questions this course answers

What is the finite growth factor over an interval?

The finite growth factor lambda is Nt divided by N0, so it is a multiplier for the interval.

Which assumption makes the exponential model J-shaped?

With a constant per-capita rate, each increase acts on a larger population base.

What does K represent in a logistic model?

K is the modeled population size that the environment can sustain under specified conditions.

Around what population size is logistic absolute growth greatest?

The logistic curve changes concavity and has its greatest absolute growth near half the carrying capacity.

What must accompany a reported percent increase?

Percent change is an interval summary and cannot be interpreted without its time span.

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