Lotka's Integral Equation is used to describe how populations grow over time. It is named after Alfred Lotka, who came up with it in the 1920s. It is an equation that uses two variables, one that shows how much the population is growing (called the reproduction rate), and one that shows how many of the population will die (called the death rate). It takes these two variables and predicts how the population will change over time. To explain it simply: the equation predicts how big the population will be at any given time by looking at how quickly the population is growing and how many members of the population are dying.