JSM 2004 - Toronto

Abstract #300826

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Activity Number: 309
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 8:30 AM to 10:20 AM
Sponsor: Section on Survey Research Methods
Abstract - #300826
Title: A Stochastic Process Approach to Estimating Population Size
Author(s): Emily S. Murphree*+
Companies: Miami University
Address: Department of Mathematics and Statistics, Oxford, OH, 45056,
Keywords: population size ; renewal theory ; sampling with replacement ; continuous-time model
Abstract:

Let K be the unknown size of an animal population and suppose animals are observed at random times S1, S2, .. Observation may occur either when an animal is trapped or when an animal visits a bait site and deposits a hair sample on a strand of barbed wire. In the latter case, the visit times S1, S2, . may not be known. The biologist will know W(t), the number of distinct animals observed by time t. Depending on how much other information is available, we propose several different renewal theoretic approaches to estimating K. In an idealized model where animals share the same capture probability and times between observations are exponential, a multinomial model is appropriate. An effort to make the assumptions more realistic will also be discussed.

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