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Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

Applications · Statistics 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

The statistical properties of an ecosystem composed of species interacting via pairwise, random interactions and deterministic, concentration limiting self-interaction are studied analytically with tools of equilibrium statistical mechanics…

Disordered Systems and Neural Networks · Physics 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari

Context-dependent nature of biological phenomena are well documented in every branch of biology. While there have been few previous attempts to (implicitly) model various facets of biological context-dependence, a formal and general…

Other Quantitative Biology · Quantitative Biology 2011-11-28 Anirban Banerji

We model evolution of plants in a world, made up of different locations, with multiple environments (mutually exclusive and collectively exhaustive subsets of locations). Each environment (landmass) has temperature, rainfall, and other…

Populations and Evolution · Quantitative Biology 2019-05-27 Alexander , Khazatsky , Albert Yu , Zihao Zhao , Gabe Zuckerman

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

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

Reaction networks are often used to model interacting species in fields such as biochemistry and ecology. When the counts of the species are sufficiently large, the dynamics of their concentrations are typically modeled via a system of…

Numerical Analysis · Mathematics 2022-01-05 David F. Anderson , Kurt W. Ehlert

Global climate warming poses a significant challenge to humanity; it is associated with, e.g., rising sea level and declining Arctic sea ice. Increasing extreme events are also considered to be a result of climate…

Physics and Society · Physics 2019-01-23 Jingfang Fan , Jun Meng , Yosef Ashkenazy , Shlomo Havlin , Hans Joachim Schellnhuber

We study the statistics of ecosystems with a variable number of co-evolving species. The species interact in two ways: by prey-predator relationships and by direct competition with similar kinds. The interaction coefficients change slowly…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Michael Lassig , Ugo Bastolla , Susanna C. Manrubia , Angelo Valleriani

In order to model real ecological systems one has to consider many species that interact in complex ways. However, most of the recent theoretical studies have been restricted to few species systems with rather trivial interactions. The few…

Populations and Evolution · Quantitative Biology 2014-04-11 Shahir Mowlaei , Ahmed Roman , Michel Pleimling

The basic mechanics of evolution have been understood since Darwin. But debate continues over whether macroevolutionary phenomena are driven primary by the fitness structure of genotype space or by ecological interaction. In this paper we…

Populations and Evolution · Quantitative Biology 2012-10-22 David V. Foster , Mary M. Rorick , Tanja Gesell , Laura Feeney , Jacob G. Foster

We introduce a mean-field framework for the study of systems of interacting particles sharing a conserved quantity. The work generalises and unites the existing fields of asset-exchange models, often applied to socio-economic systems, and…

Physics and Society · Physics 2021-06-14 Dominic T Robson , Andreas CW Baas , Alessia Annibale

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

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

Methodology · Statistics 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

Datasets encountered when examining deeper issues in ecology and evolution are often complex. This calls for careful strategies for both model building, model selection, and model averaging. Our paper aims at motivating, exhibiting, and…

Applications · Statistics 2026-03-19 Gerda Claeskens , Céline Cunen , Nils Lid Hjort

Given the increasing pressures exerted by climate change on small-scale agriculture, the importance of participatory modelling methodologies that can consider both the human and environmental components of these systems has become more and…

Physics and Society · Physics 2024-04-04 Julien Malard-Adam , Jan Adamowski , Héctor Tuy , Hugo Melgar-Quiñonez

Patagonian fjords' area is one of the largest estuarine regions in the world. Every one of its water bodies displays a unique hydrodynamic behavior with enormous effects on the biogeochemical characteristics of the ecosystems. In this…

Quantitative Methods · Quantitative Biology 2020-07-24 Pablo Mata Almonacid , Carolina Medel

Ecosystems represent archetypal complex dynamical systems, often modelled by coupled differential equations of the form $$ \frac{d x_i}{d t} = x_i \varphi_i(x_1,\cdots, x_N)\ , $$ where $N$ represents the number of species and $x_i$, the…

Populations and Evolution · Quantitative Biology 2022-12-13 Imane Akjouj , Matthieu Barbier , Maxime Clenet , Walid Hachem , Mylène Maïda , François Massol , Jamal Najim , Viet Chi Tran

An ecological network is a formal representation of a specific type of interaction in a corresponding ecosystem. Such networks have traditionally been modelled as encoding exclusively pairwise interactions among the fundamental units of…

Algebraic Topology · Mathematics 2022-03-28 Udit Raj , Shashankaditya Upadhyay , Moumita Karmakar , Sudeepto Bhattacharya

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini