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The logistic equation

A common problem in ecology is to fit the logistic curve to given data points. The logistic curve is described by the differential equation , and it is not immediately apparent how to find the best possible values for the constants r and K. After all, the derivative is quadratic in P. Given four sample data values for the population and change in population , a simple method is to plot the line of best fit to the linear equation . The best values for r and K can be determined from the equation of the line of best fit.