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A generalized model for overdispersed count data
Author(s) -
Okamura Hiroshi,
Punt André E.,
Amano Tatsuya
Publication year - 2012
Publication title -
population ecology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.819
H-Index - 59
eISSN - 1438-390X
pISSN - 1438-3896
DOI - 10.1007/s10144-012-0319-4
Subject(s) - overdispersion , count data , negative binomial distribution , quasi likelihood , statistics , econometrics , binomial (polynomial) , binomial distribution , mathematics , ecology , poisson distribution , biology
Overdispersed count data are very common in ecology. The negative binomial model has been used widely to represent such data. Ecological data often vary considerably, and traditional approaches are likely to be inefficient or incorrect due to underestimation of uncertainty and poor predictive power. We propose a new statistical model to account for excessive overdisperson. It is the combination of two negative binomial models, where the first determines the number of clusters and the second the number of individuals in each cluster. Simulations show that this model often performs better than the negative binomial model. This model also fitted catch and effort data for southern bluefin tuna better than other models according to AIC. A model that explicitly and properly accounts for overdispersion should contribute to robust management and conservation for wildlife and plants.