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With the internet, a massive amount of information on species abundance can be collected under citizen science programs. However, these data are often difficult to use directly in statistical inference, as their collection is generally…

Applications · Statistics 2015-02-27 Christophe Giraud , Clément Calenge , Camille Coron , Romain Julliard

To study population dynamics, ecologists and wildlife biologists use relative abundance data, which are often subject to temporal preferential sampling. Temporal preferential sampling occurs when sampling effort varies across time. To…

Methodology · Statistics 2022-12-14 Michael R. Schwob , Mevin B. Hooten , Travis McDevitt-Galles

We consider the problem of forecasting the regions at higher risk for newly introduced invasive species. Favourable and unfavourable regions may indeed not be known a priori, especially for exotic species whose hosts in native range and…

Analysis of PDEs · Mathematics 2009-07-07 Michel Cristofol , Lionel Roques

Despite its shortcomings, cross-level or ecological inference remains a necessary part of some areas of quantitative inference, including in United States voting rights litigation. Ecological inference suffers from a lack of identification…

Applications · Statistics 2011-01-06 D. James Greiner , Kevin M. Quinn

For two resource-sharing species we explore the interplay of harvesting and dispersal strategies, as well as their influence on competition outcomes. Although the extinction of either species can be achieved by excessive culling, choosing a…

Populations and Evolution · Quantitative Biology 2025-12-12 Elena Braverman , Jenny Lawson

The outcome of competition among species is influenced by the spatial distribution of species and effects such as demographic stochasticity, immigration fluxes, and the existence of preferred habitats. We introduce an individual-based model…

Populations and Evolution · Quantitative Biology 2010-07-19 Simone Pigolotti , Massimo Cencini

In this paper, we study a special case of the invasion fitness matrix in a replicator equation: the invader-driven case. In this replicator, each species is defined by its unique active invasiveness potential (initial growth rate when…

Dynamical Systems · Mathematics 2025-10-10 Thi Minh Thao Le , Marina Garcia-Romero , Joao Duarte Âlcantara Galvao , Sten Madec , Erida Gjini

The spread of invasive species to new areas threatens the stability of ecosystems and causes major economic losses in agriculture and forestry. We propose a novel approach to minimizing the spread of an invasive species given a limited…

Populations and Evolution · Quantitative Biology 2017-12-13 Amrita Gupta , Mehrdad Farajtabar , Bistra Dilkina , Hongyuan Zha

Invasive pine trees pose a threat to biodiversity in a variety of Southern Hemisphere countries, but understanding of the dynamics of invasions and the factors that retard or accelerate spread is limited. Here, we consider the past models…

Populations and Evolution · Quantitative Biology 2023-08-04 Elliott Hughes , Miguel Moyers-Gonzalez , Rua Murray , Phillip L. Wilson

Joint Species Distribution Models are essential for understanding how ecological drivers shape species communities. However, most existing approaches are limited by rigid parametric distributions for count data and the inability to model…

Methodology · Statistics 2025-12-05 Lukas Graz , Luisa Barbanti , Roland Brandl , Torsten Hothorn

Occupancy models are frequently used by ecologists to quantify spatial variation in species distributions while accounting for observational biases in the collection of detection-nondetection data. However, the common assumption that a…

The entanglement of population dynamics, evolution, and adaptive radiation for species competing for resources is studied. For resource harvesting, we modify the model used in Ref. Phys. Rev. Lett. 118 048103 and introduce new resource…

Populations and Evolution · Quantitative Biology 2023-10-03 Sergei V. Koniakhin

Non-transitive dominance and the resulting cyclic loop of three or more competing species provide a fundamental mechanism to explain biodiversity in biological and ecological systems. Both Lotka-Volterra and May-Leonard type model…

Populations and Evolution · Quantitative Biology 2020-10-20 D. Bazeia , B. F. de Oliveira , J. V. O. Silva , A. Szolnoki

We propose an extension of the N-mixture model which allows for the estimation of both abundances of multiple species simultaneously and their inter-species correlations. We also propose further extensions to this multi-species N-mixture…

Methodology · Statistics 2022-08-17 Niamh Mimnagh , Andrew Parnell , Estevao Prado , Rafael de Andrade Moral

In this study, we investigate the dynamics of a spatial and non spatial prey-predator interaction model that includes the following: (i) fear effect incorporated in prey birth rate; (ii) group defence of prey against predators; and (iii)…

Populations and Evolution · Quantitative Biology 2023-11-07 Shivam Yadav , Jai Prakash Tripathi , Shrichand Bhuria , Satish Kumar Tiwari , Deepak Tripathi , Vandana Tiwari , Ranjit Kumar Upadhyay , Yun Kang

A deterministic two-species predator-prey model with prey herd behavior is considered incorporating mutual interference and the effect of fear. We provide guidelines to the dynamical analysis of biologically feasible equilibrium points. We…

Dynamical Systems · Mathematics 2022-12-20 Kwadwo Antwi-Fordjour , Rana D. Parshad , Hannah E. Thompson , Stephanie B. Westaway

In order to avoid disadvantages of monocropping for soil and environment, it is advisable to practice intercropping of various plant species whenever possible. However, intercropping is challenging as it requires a balanced planting…

Computers and Society · Computer Science 2021-12-21 Maurice Günder , Nico Piatkowski , Laura von Rueden , Rafet Sifa , Christian Bauckhage

The behavior of ecological systems mainly relies on the interactions between the species it involves. We consider the problem of inferring the species interaction network from abundance data. To be relevant, any network inference…

Applications · Statistics 2019-10-29 Raphaëlle Momal , Stéphane Robin , Christophe Ambroise

This work investigates how biodiversity is affected in a cyclic spatial May-Leonard model with hierarchical and non-hierarchical rules. Here we propose a generalization of the traditional rock-paper-scissors model by considering highly…

Populations and Evolution · Quantitative Biology 2025-05-08 D. Bazeia , M. J. B. Ferreira , B. F. de Oliveira , W. A. dos Santos

Successful management of wildlife populations requires accurate estimates of abundance. Abundance estimates can be confounded by imperfect detection during wildlife surveys. N-mixture models enable quantification of detection probability…

Applications · Statistics 2018-08-17 Timothy D. Meehan , Nicole L. Michel , Håvard Rue