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Models of invasive species spread often assume that landscapes are spatially homogeneous; thus simplifying analysis but potentially reducing accuracy. We extend a recently developed partial differential equation model for invasive conifer…

Populations and Evolution · Quantitative Biology 2023-09-14 Elliott Hughes , Miguel Moyers-Gonzalez , Rua Murray , Phillip L. Wilson

Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

Methodology · Statistics 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

Methodology · Statistics 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

A frequent challenge encountered with ecological data is how to interpret, analyze, or model data having a high proportion of zeros. Much attention has been given to zero-inflated count data, whereas models for non-negative continuous data…

Methodology · Statistics 2022-05-23 Becky Tang , Henry A Frye , Alan E. Gelfand , John A Silander

This paper is the second in a series of papers which combine graphical modelling and marked spatial point patterns. Extending the previous results of \cite Eckardt (2016a), we introduce a marked spatial dependence graph model which depicts…

Applications · Statistics 2016-09-29 Matthias Eckardt , Jorge Mateu

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

In agricultural landscapes, the composition and spatial configuration of cultivated and semi-natural elements strongly impact species dynamics, their interactions and habitat connectivity. To allow for landscape structural analysis and…

Populations and Evolution · Quantitative Biology 2020-03-05 Patrizia Zamberletti , Julien Papaïx , Edith Gabriel , Thomas Opitz

One of the first beings affected by changes in the climate are trees, one of our most vital resources. In this study tree species interaction and the response to climate in different ecological environments is observed by applying a joint…

Populations and Evolution · Quantitative Biology 2019-10-14 Hyun Choi , Ali Sadeghian , Sergio Marconi , Ethan White , Daisy Zhe Wang

Presence-only records may provide data on the distributions of rare species, but commonly suffer from large, unknown biases due to their typically haphazard collection schemes. Presence-absence or count data collected in systematic, planned…

Applications · Statistics 2014-08-08 William Fithian , Jane Elith , Trevor Hastie , David A. Keith

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

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

Probability · Mathematics 2020-12-29 Lea Popovic , Liam Peuckert

Mutualistic networks have been shown to involve complex patterns of interactions among animal and plant species. The architecture of these webs seems to pervade some of their robust and fragile behaviour. Recent work indicates that there is…

Populations and Evolution · Quantitative Biology 2016-12-07 Sergi Valverde , Jose Montoya , Lucas Joppa , Ricard Sole

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…

Mutualistic networks are formed when the interactions between two classes of species are mutually beneficial. They are important examples of cooperation shaped by evolution. Mutualism between animals and plants plays a key role in the…

Populations and Evolution · Quantitative Biology 2013-08-23 Samir Suweis , Filippo Simini , Jayanth R. Banavar , Amos Maritan

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

Populations and Evolution · Quantitative Biology 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

We study a model ecosystem by means of dynamical techniques from disordered systems theory. The model describes a set of species subject to competitive interactions through a background of resources, which they feed upon. Additionally…

Populations and Evolution · Quantitative Biology 2009-11-13 Yoshimi Yoshino , Tobias Galla , Kei Tokita

Site occupancy models are routinely used to estimate the probability of species presence from either abundance or presence-absence data collected across sites with repeated sampling occasions. In the last two decades, a broad class of…

Methodology · Statistics 2022-04-05 Wen-Han Hwang , Jakub Stoklosa , Lu-Fang Chen

Understanding the mechanisms that allow biological species to co-occur is of great interest to ecologists. Here we investigate the factors that influence co-occurrence of members of the genus Protea in the Cape Floristic Region of…

Applications · Statistics 2014-01-10 Xun Jiang , Dipak K. Dey , Rachel Prunier , Adam M. Wilson , Kent E. Holsinger

Species distribution models (SDMs) are widely used to predict species' geographic distributions, serving as critical tools for ecological research and conservation planning. Typically, SDMs relate species occurrences to environmental…

Machine Learning · Computer Science 2025-08-12 Hager Radi Abdelwahed , Mélisande Teng , Robin Zbinden , Laura Pollock , Hugo Larochelle , Devis Tuia , David Rolnick

We investigate spatial confounding in the presence of multivariate disease dependence. In the "analysis model perspective" of spatial confounding, adding a spatially dependent random effect can lead to significant variance inflation of the…

Methodology · Statistics 2026-02-13 Kyle Lin Wu , Sudipto Banerjee