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Applied Mathematics

Air Force Institute of Technology

Theses/Dissertations

2008

Population biology--Mathematical models

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Estimation Of The Number Of Microbial Species Comprising A Population, Melanie R. Slattery Mar 2008

Estimation Of The Number Of Microbial Species Comprising A Population, Melanie R. Slattery

Theses and Dissertations

The purpose of this research was to evaluate the appropriateness of using non-parametric estimators, specifically the Chao1, ACES, and Jackknife methods, for estimation of the number of unique species comprising a population. It goes on to develop a parametric method for the above stated problem. This research consisted of creating diverse populations, with known numbers of species, and applying the aforementioned non-parametric and parametric methods to samples drawn from the constructed populations. The parametric fitting of several different distributions to the sample data, including the lognormal, gamma, and Weibull was considered. Both types of methodologies were then applied to sample …