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Capture-recapture studies are widely used to obtain information about abundance (population size or density) of animal populations. A common design is that in which multiple distinct populations are sampled, and the research objective is…

Methodology · Statistics 2012-11-27 J. Andrew Royle , Sarah J. Converse , William A. Link

Abundance estimates from animal point-count surveys require accurate estimates of detection probabilities. The standard model for estimating detection from removal-sampled point-count surveys assumes that organisms at a survey site are…

Populations and Evolution · Quantitative Biology 2019-04-09 Adam Martin-Schwarze , Jarad Niemi , Philip Dixon

We analyze the long term behavior of interacting populations which can be controlled through harvesting. The dynamics is assumed to be discrete in time and stochastic due to the effect of environmental fluctuations. We present extinction…

Populations and Evolution · Quantitative Biology 2021-02-18 Alexandru Hening

Advances in field techniques have lead to an increase in spatially-referenced capture-recapture data to estimate a species' population size as well as other demographic parameters and patterns of space usage. Statistical models for these…

Applications · Statistics 2014-05-09 Brian J. Reich , Beth Gardner

Predicting the outcomes of species invasions is a central goal of ecology, a task made especially challenging due to ecological feedbacks. To address this, we develop a general theory of ecological invasions applicable to a wide variety of…

Populations and Evolution · Quantitative Biology 2025-08-22 Zhijie Feng , Emmy Blumenthal , Pankaj Mehta , Akshit Goyal

Hierarchical modeling of abundance in space or time using closed-population mark-recapture under heterogeneity (model M$_{h}$) presents two challenges: (i) finding a flexible likelihood in which abundance appears as an explicit parameter…

Applications · Statistics 2015-04-10 Matthew R. Schofield , Richard J. Barker

We develop a new statistical procedure to monitor, with opportunist data, relative species abundances and their respective preferences for dierent habitat types. Following Giraud et al. (2015), we combine the opportunistic data with some…

Applications · Statistics 2017-06-27 Camille Coron , Clément Calenge , Christophe Giraud , Romain Julliard

1. Accurate estimates of demographic parameters are required to infer appropriate ecological relationships and inform management actions. Recently developed N-mixture models use count data from unmarked individuals to estimate demographic…

Quantitative Methods · Quantitative Biology 2015-12-29 Joshua H. Schmidt , Devin S. Johnson , Mark S. Lindberg , Layne G. Adams

We propose a time-dependent Advection Reaction Diffusion (ARD) $N$-species competition model to investigate the Stocking and Harvesting (SH) effect on population dynamics. For ongoing analysis, we explore the outcomes of a competition…

Numerical Analysis · Mathematics 2024-04-30 Mayesha Sharmim Tisha , Md. Kamrujjaman , Muhammad Mohebujjaman , Taufiquar Khan

Investigation of species abundance has become a vital component of many ecological monitoring studies. The primary objective of these studies is to understand how specific species are distributed across the study domain, as well as…

Applications · Statistics 2015-05-12 Guohui Wu , Scott H. Holan , Charles H. Nilon , Christopher K. Wikle

The collection of capture-recapture data often involves collecting data on numerous capture occasions over a relatively short period of time. For many study species this process is repeated, for example annually, resulting in capture…

Methodology · Statistics 2018-10-25 Hannah Worthington , Rachel McCrea , Ruth King , Richard Griffiths

Failing to account for ecological processes such as dispersal and connectivity when modeling distributions can lead to biased inference about environmental drivers and reduced predictive performance. Spatial dynamic occupancy models are…

Populations and Evolution · Quantitative Biology 2026-05-07 Simon Lacombe , Sébastien Devillard , Cécile Kauffmann , Olivier Gimenez

Numerous experimental studies have demonstrated that the microenvironment is a key regulator influencing the proliferative and migrative potentials of species. Spatial and temporal disturbances lead to adverse and hazardous…

Populations and Evolution · Quantitative Biology 2015-10-07 Venkata. S. K. Manem , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

Accurate predictions of the populations and spatial distributions of wild animal species is critical from a species management and conservation perspective. Culling is a measure taken for various reasons, including when overpopulation of a…

The N-representability problem consists in determining whether, for a given p-body matrix, there exists at least one N-body density matrix from which the p-body matrix can be obtained by contraction, that is, if the given matrix is a p-body…

Alien species refer to non-native species introduced by humans into an ecosystem, which can cause harm to the environment, economy, or human health. Although there is considerable literature on the subject, the presence of confounding…

Applications · Statistics 2025-05-21 Martina Boschi , Rūta Juozaitienė , Ernst-Jan Camiel Wit

We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the…

Populations and Evolution · Quantitative Biology 2025-05-28 Manuel Esser , Anna Kraut

Predicting species distributions using occupancy models accounting for imperfect detection is now commonplace in ecology. Recently, modelling spatial and temporal autocorrelation was proposed to alleviate the lack of replication in…

Applications · Statistics 2025-10-10 André Luís Luza , Didier Alard , Frédéric Barraquand

Abundance data are used in ecology for species monitoring and conservation. These count data often display several specific characteristics like numerous missing data, high variance, and a high proportion of zeros, particularly when…

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