Fitting the Geometric Distribution to Capture Frequency Data
The Journal of Wildlife Management
We computer simulated a mark-recapture experiment where the population size, N, is known and the recapture frequencies follow the geometric distribution. Two methods described by Edwards and Eberhardt (l967)-linear regression and maximum likelihood estimation (MLE)--were used with these hypothetical data to give estimates of N. The results were (1) regression gives biased estimates while MLE gives unbiased estimates; (2) both methods produce inaccurate confidence intervals for N.
H. C. Romesburg and K. Marshall. 1979. Fitting the Geometric Distribution to Capture Frequency Data. Journal of Wildlife Management, 43(1):79-84.