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Titolo:
Non-parametric MLE for Poisson species abundance models allowing for heterogeneity between species
Autore:
Norris, JL; Pollock, KH;
Indirizzi:
Wake Forest Univ, Dept Math & Comp Sci, Winston Salem, NC 27109 USA Wake Forest Univ Winston Salem NC USA 27109 , Winston Salem, NC 27109 USA N Carolina State Univ, Biostat Program, Raleigh, NC 27695 USA N Carolina State Univ Raleigh NC USA 27695 Program, Raleigh, NC 27695 USA
Titolo Testata:
ENVIRONMENTAL AND ECOLOGICAL STATISTICS
fascicolo: 4, volume: 5, anno: 1998,
pagine: 391 - 402
SICI:
1352-8505(199812)5:4<391:NMFPSA>2.0.ZU;2-A
Fonte:
ISI
Lingua:
ENG
Soggetto:
CAPTURE-RECAPTURE MODELS; POPULATION-SIZE; BOOTSTRAP;
Keywords:
bootstrap; ecological diversity and evenness; goodness-of-fit test; likelihood ratio test; mixture model;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Agriculture,Biology & Environmental Sciences
Citazioni:
24
Recensione:
Indirizzi per estratti:
Indirizzo: Norris, JL Wake Forest Univ, Dept Math & Comp Sci, Winston Salem, NC 27109USA Wake Forest Univ Winston Salem NC USA 27109 alem, NC 27109 USA
Citazione:
J.L. Norris e K.H. Pollock, "Non-parametric MLE for Poisson species abundance models allowing for heterogeneity between species", ENV ECOL ST, 5(4), 1998, pp. 391-402

Abstract

The proper management of an ecological population is greatly aided by solid information about its species' abundances. For the general heterogeneous Poisson species abundance setting, we develop the non-parametric mle for the entire probability model, namely for the total number N of species and the generating distribution F for the expected values of the species' abundances. Solid estimation of the entire probability model allows us to develop generator-based measures of ecological diversity and evenness which have inferences over similar regions. Also, our methods produce a solid goodness-of-fit test for our model as well as a likelihood ratio test to examine if there is heterogeneity in the expected values of the species' abundances. These estimates and tests are examined, in detail, in the paper. In particular, we apply our methods to important data from the National Breeding Bird Survey and discuss how our methods can also be easily applied to sweep net sampling data. To further examine our methods, we provide simulations for several illustrative situations.

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Documento generato il 29/11/20 alle ore 16:06:27