Corpus ID: 226227351

A general modelling framework for open wildlife populations based on the Polya Tree prior

  title={A general modelling framework for open wildlife populations based on the Polya Tree prior},
  author={Alex Diana and Eleni Matechou and Jim E. Griffin and Todd W. Arnold and Richard A. Griffiths and John Pickering and Simone Tenan and Stefano Volponi},
  journal={arXiv: Methodology},
Wildlife monitoring for open populations can be performed using a number of different survey methods. Each survey method gives rise to a type of data and, in the last five decades, a large number of associated statistical models have been developed for analysing these data. Although these models have been parameterised and fitted using different approaches, they have all been designed to model the pattern with which individuals enter and exit the population and to estimate the population size… Expand


A Polya Tree Based Model for Unmarked Individuals in an Open Wildlife Population
A Bayesian nonparametric prior, known as Polya Tree, is used for modelling the bivariate density of arrival and departure times and provides great scalability as the complexity does not depend on the population size but just on the number of sampling occasions, making it particularly suitable for data-sets with high numbers of detections. Expand
Open models for removal data
Individuals of protected species, such as amphibians and reptiles, often need to be removed from sites before development commences. Usually, the population is considered to be closed. AllExpand
Monitoring abundance and phenology in (multivoltine) butterfly species: a novel mixture model
This work introduces a new modelling approach, which borrows ideas from the ‘stopover’ capture–recapture literature, that permits the estimation of parameters of interest, such as mean arrival times and relative abundance, or in some cases, absolute abundance, and the comparison of these between sites. Expand
A hierarchical dependent Dirichlet process prior for modelling bird migration patterns in the UK
Environmental changes in recent years have been linked to phe-nological shifts, which in turn are linked to the survival of species. The work in this paper is motivated by capture-recapture data onExpand
Modelling individual migration patterns using a Bayesian nonparametric approach for capture-recapture data
We present a Bayesian nonparametric approach for modelling wildlife migration patterns using capture–recapture (CR) data. Arrival times of individuals are modelled in continuous time and assumed toExpand
Conditional modelling of ring-recovery data
A new scaled-logistic model is proposed for the analysis of ring-recovery data without cohort numbers, which incorporates a reporting probability that declines over time and has the potential to reduce bias in estimates of wild animal survival that currently do not incorporate such reporting probabilities. Expand
N-mixture models for estimating population size from spatially replicated counts.
A class of models (N-mixture models) which allow for estimation of population size from site-specific population sizes, N, as independent random variables distributed according to some mixing distribution (e.g., Poisson). Expand
  • G. Seber
  • Mathematics, Medicine
  • Biometrika
  • 1965
Jolly (1965), tackling this problem from a different viewpoint, gives a very elegant solution to the problem of finding maximumlikelihood estimates of the unknown population parameters and gives the means and variances of these estimates. Expand
Population size and stopover duration estimation using mark-resight data and Bayesian analysis of a superpopulation model.
A Bayesian analysis of a state-space formulation of the Jolly-Seber mark-recapture model is used, integrated with a binomial model for counts of unmarked animals, to derive estimates of population size and arrival and departure probabilities. Expand
Estimates of survival from the sighting of marked animals
All the methods which have been presented in recent years for the analysis of capturerecapture data have aimed at estimating total population size, survival rates and dilution rates. These methods,Expand