Estimation of a population size through capture-mark-recapture method: a comparison of various point and interval estimators

Yang, Xing; Pal, Nabendu

doi:10.1080/00949650802635165

Cited by 7 publications

(20 citation statements)

References 16 publications

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“…There is no explicit sampling distribution available for the point estimate. Even for week-2, estimation of N 2 boils down to a regular hypergeometric distribution for which available interval estimates are not very accurate (see Yang and Pal 2010). With CMR data, applied researchers have been using the well-known Jolly-Seber (JS) method for quite sometime which relies on some strong assumptions, and hence may not always be tenable.…”

Section: Statistical Estimation Of Weekly Population Size Using the Cmentioning

confidence: 98%

“…Point estimation of the weekly population sizes beginning with week-2 (in a particular year) is done by the standard maximum likelihood estimation (MLE) which is not too difficult, and an explicit expression of the MLE is provided in Yang and Pal (2010). But interval estimation of the weekly population size from the aforementioned generalized version of the hypergeometric distribution is a tricky matter.…”

Section: Statistical Estimation Of Weekly Population Size Using the Cmentioning

confidence: 99%

“…The weekly CMR sampling thus rolls on from week to week giving us a data structure and providing a complete capture history of the frogs sampled over the weeks. The resultant probability distribution of the data is a very complicated generalized version of the well-known hypergeometric distribution, details of which are provided in Yang and Pal (2010).…”

Section: Statistical Estimation Of Weekly Population Size Using the Cmentioning

confidence: 99%

“…before midnight in a given evening. A statistical method based on a generalization of the hypergeometric distribution was developed to derive estimates of population size for the weekly number of frogs and confidence intervals for such population sizes (Pham et al 2007;Yang and Pal 2010). This method was also used to obtain point and interval estimates for the 2004-2005 (Yang and Pal 2010;Yang et al 2011).…”

mentioning

confidence: 99%

“…The purpose of this paper is three-fold: (1) To apply our statistical techniques (Yang and Pal 2010;Yang et al 2011) and to derive weekly population size for the remaining data sets of 2006-2009. (2) To develop a least-squares approach to fit the model we developed in Ackleh and Deng (2009), Ackleh et al (2010b) to the statistical population estimates obtained from the 2004-2009 CMR data sets.…”

mentioning

confidence: 99%

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Fitting a Structured Juvenile–Adult Model for Green Tree Frogs to Population Estimates from Capture–Mark–Recapture Field Data

et al. 2011

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We derive point and interval estimates for an urban population of green tree frogs (Hyla cinerea) from capture-mark-recapture field data obtained during the years 2006-2009. We present an infinite-dimensional least-squares approach which compares a mathematical population model to the statistical population estimates obtained from the field data. The model is composed of nonlinear first-order hyperbolic equations describing the dynamics of the amphibian population where individuals are divided into juveniles (tadpoles) and adults (frogs). To solve the least-squares problem, an explicit finite difference approximation is developed. Convergence results for the computed parameters are presented. Parameter estimates for the vital rates of juveniles and adults are obtained, and standard deviations for these estimates are computed. Numerical results for the model sensitivity with respect to these parameters are given. Finally, the above-mentioned parameter estimates are used to illustrate the long-time behavior of the population under investigation.

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Section: Statistical Estimation Of Weekly Population Size Using the Cmentioning

confidence: 98%

Section: Statistical Estimation Of Weekly Population Size Using the Cmentioning

confidence: 99%

Section: Statistical Estimation Of Weekly Population Size Using the Cmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Fitting a Structured Juvenile–Adult Model for Green Tree Frogs to Population Estimates from Capture–Mark–Recapture Field Data

et al. 2011

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Monitoring the mission blue butterfly using immature stages

Lindzey

Connor

2010

J Insect Conserv

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A case study of green tree frog population size estimation by repeated capture–mark–recapture method with individual tagging: a parametric bootstrap method vs Jolly–Seber method

Yang

Pal

Ackleh

et al. 2011

Journal of Statistical Computation and Simulation

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This paper deals with estimation of a green tree frog population in an urban setting using repeated capturemark-recapture (CMR) method over several weeks with an individual tagging system which gives rise to a complicated generalization of the hypergeometric distribution. Based on the maximum likelihood estimation, a parametric bootstrap approach is adopted to obtain interval estimates of the weekly population size which is the main objective of our work. The method is computation-based; and programming intensive to implement the algorithm for re-sampling. This method can be applied to estimate the population size of any species based on repeated CMR method at multiple time points. Further, it has been pointed out that the well-known Jolly-Seber method, which is based on some strong assumptions, produces either unrealistic estimates, or may have situations where its assumptions are not valid for our observed data set.

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Estimation of a population size through capture-mark-recapture method: a comparison of various point and interval estimators

Cited by 7 publications

References 16 publications

Fitting a Structured Juvenile–Adult Model for Green Tree Frogs to Population Estimates from Capture–Mark–Recapture Field Data

Fitting a Structured Juvenile–Adult Model for Green Tree Frogs to Population Estimates from Capture–Mark–Recapture Field Data

Monitoring the mission blue butterfly using immature stages

A case study of green tree frog population size estimation by repeated capture–mark–recapture method with individual tagging: a parametric bootstrap method vs Jolly–Seber method

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