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Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

Methodology · Statistics 2018-01-09 Torsten Hothorn , Achim Zeileis

This paper investigates the conditions for the stability and emergence of patterns in a new three-component reaction-diffusion system. The system describes the coexistence and interaction of water reservoirs, vegetation, and bushfire…

Analysis of PDEs · Mathematics 2026-04-14 Serena Dipierro , Enrico Valdinoci

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional methods frequently struggle with the inherent complexity,…

Machine Learning · Computer Science 2025-03-06 Runlong Yu , Shengyu Chen , Yiqun Xie , Xiaowei Jia

The study of ecological systems is gaining momentum in modern scientific research, driven by an abundance of empirical data and advancements in bioengineering techniques. However, a full understanding of their dynamical and thermodynamical…

Populations and Evolution · Quantitative Biology 2025-03-05 Ada Altieri

Biodiversity monitoring represents a pressing global priority, and assessing forest community composition plays a crucial role due to its influence on ecosystem functions. The spatial distribution of forest species becomes essential for…

Computational Engineering, Finance, and Science · Computer Science 2025-08-12 Valeria Aloisi , Sergio Noce , Italo Epicoco , Cristina Cipriano , Massimo Cafaro , Giuseppe Brundu , Lorenzo Arcidiaco , Donatella Spano , Giovanni Aloisio , Simone Mereu

We present a detailed study of simple `tree' models for off equilibrium dynamics and aging in glassy systems. The simplest tree describes the landscape of a random energy model, whereas multifurcating trees occur in the solution of the…

Condensed Matter · Physics 2009-10-22 J-P. Bouchaud , D. S. Dean

Researchers and managers model ecological communities to infer the biotic and abiotic variables that shape species' ranges, habitat use, and co-occurrence which, in turn, are used to support management decisions and test ecological…

Applications · Statistics 2020-06-01 Trevor Hefley

We consider spatial population dynamics given by Markov birth-and-death process with constant mortality and birth influenced by establishment or fecundity mechanisms. The independent and density dependent dispersion of spreading are…

Functional Analysis · Mathematics 2015-01-27 Dmitri Finkelshtein , Yuri Kondratiev , Oleksandr Kutoviy

Predictions of fatalities from violent conflict on the PRIO-GRID-month (pgm) level are characterized by high levels of uncertainty, limiting their usefulness in practical applications. We discuss the two main sources of uncertainty for this…

Applications · Statistics 2026-03-13 Daniel Mittermaier , Tobias Bohne , Martin Hofer , Daniel Racek

We introduce the Webworld model, which links together the ecological modelling of food web structure with the evolutionary modelling of speciation and extinction events. The model describes dynamics of ecological communities on an…

adap-org · Physics 2007-05-23 Guido Caldarelli , Paul G. Higgs , Alan J. McKane

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

A number of authors have in recent years proposed that the processes of macroevolution may give rise to self-organized critical phenomena which could have a significant effect on the dynamics of ecosystems. In particular it has been…

adap-org · Physics 2008-02-03 M. E. J. Newman

Ecosystem models are often used to predict the consequences of management decisions in applied ecology, including fisheries management and threatened species conservation. These models are high-dimensional, parameter-rich, and nonlinear,…

Populations and Evolution · Quantitative Biology 2024-01-22 Larissa Lubiana Botelho , Cailan Jeynes-Smith , Sarah Vollert , Michael Bode

We have generalized our ``unified'' model of evolutionary ecology by taking into account the possible movements of the organisms from one ``patch'' to another within the same eco-system. We model the spatial extension of the eco-system…

Populations and Evolution · Quantitative Biology 2009-11-10 Dietrich Stauffer , Ambarish Kunwar , Debashish Chowdhury

Savannas are dynamical systems where grasses and trees can either dominate or coexist. Fires are known to be central in the functioning of the savanna biome though their characteristics are expected to vary along the rainfall gradients as…

Dynamical Systems · Mathematics 2019-05-28 A. Tchuinté Tamen , Y. Dumont , S. Bowong , J. J. Tewa , P. Couteron

Species subject to predation and environmental threats commonly exhibit variable periods of population boom and bust over long timescales. Understanding and predicting such behavior, especially given the inherent heterogeneity and…

Populations and Evolution · Quantitative Biology 2024-06-03 Daniel Messenger , Greg Dwyer , Vanja Dukic

Ecosystems tend to fluctuate around stable equilibria in response to internal dynamics and environmental factors. Occasionally, they enter an unstable tipping region and collapse into an alternative stable state. Our understanding of how…

Understanding how climate and innovation policies perform during socio-technical transitions remains a central challenge in innovation studies. Empirical analyses of the relationship between economic growth and carbon emissions continue to…

Theoretical Economics · Economics 2026-01-06 Ngueuleweu Tiwang Gildas

Biodiversity is declining at alarming rates worldwide, including for large wild mammals. It is therefore imperative to develop effective population conservation and recovery strategies. Population dynamics models can provide insights into…

Continuum models for the spatial dynamics of growing cell populations have been widely used to investigate the mechanisms underpinning tissue development and tumour invasion. These models consist of nonlinear partial differential equations…

Tissues and Organs · Quantitative Biology 2019-07-15 Mark AJ Chaplain , Tommaso Lorenzi , Fiona R Macfarlane
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