Below is a table of the populations of whooping cranes in the wild from 1940 to 2000. The population rebounded from near extinction after conservation efforts began. The following problems consider applying population models to fit the data. Assume a carrying capacity of 10,000 cranes. Fit the data assuming years since 1940 (so your initial population at time 0 would be 22 cranes).
Year (years since conservation began) | Whooping Crane Population | |
1940(0) | 22 | |
1950(10) | 31 | |
1960(20) | 36 | |
1970(30) | 57 | |
I90(40) | 91 | |
1990(50) | 159 | |
2000(60) | 256 | |
Source: hflps:IIwww.savingcranes,o-g/imagesI soriesIsite_imagesIconservationIwtooping_crane/ pdtsThastoric__numbers.pdt
205. Find the equation and parameter a that best fit the data for the Gompertz equation.
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