G. F. Gause, in his Struggle for Existence, simply estimated the carrying capacity of a population from the graph of his data. Plot the data shown in the following table, and use your plot to obtain an estimate of the carrying capacity.
Day | Quantity | Day | Quantity |
0 | 100 | 80 | 8587 |
20 | 476 | 100 | 9679 |
40 | 1986 | 120 | 9933 |
60 | 5510 | 140 | 9986 |
You now know the carrying capacity and the initial population. You can use any other point in the table to determine the reproduction rate r. Do so, and then superimpose the resulting logistic curve on your data plot for comparison. Can you see any problems that could occur with this method?
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