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Ecology studies biodiversity in its variety and complexity. It describes how species distribute and perform in response to environmental changes. Ecological processes and structures are highly complex and adaptive. In order to quantify…

Populations and Evolution · Quantitative Biology 2013-10-09 Cang Hui

Many natural or human-made systems encompassing local reactions and diffusion processes exhibit spatially distributed patterns of some relevant dynamical variable. These interactions, through self-organization and critical phenomena, give…

Pattern Formation and Solitons · Physics 2024-07-08 Jean-François de Kemmeter , Adam Byrne , Amy Dunne , Timoteo Carletti , Malbor Asllani

We describe pattern formation in ecological systems using a version of the classical Lotka-Volterra model characterized by a spatial scale which controls the predator-prey interaction range. Analytical and simulational results show that…

Populations and Evolution · Quantitative Biology 2016-03-02 E. Brigatti , M. Oliva , M. Núñez-López , R. Oliveros-Ramos , J. Benavides

Internal feedbacks are commonly present in biological populations and can play a crucial role in the emergence of collective behavior. We consider a generalization of Fisher-KPP equation to describe the temporal evolution of the…

Adaptation and Self-Organizing Systems · Physics 2019-07-03 V. Dornelas , E. H. Colombo , C. Anteneodo

Understanding the assembly of ecosystems to estimate the number of species at different spatial scales is a challenging problem. Until now, maximum entropy approaches have lacked the important feature of considering space in an explicit…

Populations and Evolution · Quantitative Biology 2014-07-10 Matteo Adorisio , Jacopo Grilli , Samir Suweis , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

Vegetation in semi-arid ecosystems frequently organizes into spatially heterogeneous mosaics that regulate ecosystem functioning, productivity, and resilience. These patterns arise from local biological interactions, including facilitation…

Populations and Evolution · Quantitative Biology 2026-02-06 Àlex Giménez-Romero , Bernard A. Afful , Priscilla E. Greenwood , Manuel A. Matías , Luis F. Gordillo

Statistical Physics has proved essential to analyze multi-agent environments. Motivated by the empirical observation of various non-equilibrium features in Barro Colorado and other ecological systems, we analyze a plant-species abundance…

Statistical Mechanics · Physics 2021-09-16 Pablo Villegas , Tommaso Gili , Guido Caldarelli

The response of dynamical systems to varying conditions and disturbances is a fundamental aspect of their analysis. In spatially extended systems, particularly in pattern-forming systems, there are many possible responses, including…

Pattern Formation and Solitons · Physics 2017-03-02 Yuval R. Zelnik , Ehud Meron , Golan Bel

Patterned vegetation is a characteristic feature of many dryland ecosystems. While plant densities on the ecosystem-wide scale are typically low, a spatial self-organisation principle leads to the occurrence of alternating patches of high…

Populations and Evolution · Quantitative Biology 2020-05-05 Lukas Eigentler

Savannas are characterized by a discontinuous tree layer superimposed on a continuous layer of grass. Identifying the mechanisms that facilitate this tree-grass coexistence has remained a persistent challenge in ecology and is known as the…

Populations and Evolution · Quantitative Biology 2014-01-30 Flora S. Bacelar , Justin M. Calabrese , Emílio Hernández-García

Empirical results show that spatial factors such as distance, population density and communication range affect our social activities, also reflected by the development of ties in social networks. This motivates the need for social network…

Physics and Society · Physics 2020-03-04 Dong Liu , Viktoria Fodor , Lars K. Rasmussen

Much of the information about the multi-valley structure of disordered spin systems can be convened in a simple tree structure -- a barrier tree -- the leaves and internal nodes of which represent, respectively, the local minima and the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Wim Hordijk , Jose F. Fontanari , Peter F. Stadler

With inspiration from Random Forests (RF) in the context of classification, a new clustering ensemble method---Cluster Forests (CF) is proposed. Geometrically, CF randomly probes a high-dimensional data cloud to obtain "good local…

Methodology · Statistics 2013-06-07 Donghui Yan , Aiyou Chen , Michael I. Jordan

Accelerating global biodiversity loss has highlighted the role of complex relationships and shared patterns among species in determining their responses to environmental changes. The structure of an ecological community, represented by…

Applications · Statistics 2025-09-03 Braden Scherting , Otso Ovaskainen , David B. Dunson

Human mobility patterns deeply affect the dynamics of many social systems. In this paper, we empirically analyze the real-world human movements based GPS records, and observe rich scaling properties in the temporal-spatial patterns as well…

Physics and Society · Physics 2015-06-15 Xiang-Wen Wang , Xiao-Pu Han , Bing-Hong Wang

Spatially explicit data layers of tree species assemblages, referred to as forest types or forest type groups, are a key component in large-scale assessments of forest sustainability, biodiversity, timber biomass, carbon sinks and forest…

Applications · Statistics 2009-10-09 Andrew O. Finley , Sudipto Banerjee , Ronald E. McRoberts

The small-scale environment characterized by the local density is known to play a crucial role in deciding the galaxy properties but the role of large-scale environment on galaxy formation and evolution still remain a less clear issue. We…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-30 Biswajit Pandey , Suman Sarkar

In binary and ordinal regression one can distinguish between a location component and a scaling component. While the former determines the location within the range of the response categories, the scaling indicates variance heterogeneity.…

Methodology · Statistics 2019-10-31 Gerhard Tutz , Moritz Berger

Dry-land ecosystem has turned into a matter of grave concern, due to growing threat of land degradation and bioproductivity-loss. Self-organized vegetation patterns are a remarkable characteristic of these ecosystems; apart from being…

Populations and Evolution · Quantitative Biology 2022-09-27 Mrinal Kanti Pal , Swarup Poria

Several theoretical models predict that spatial patterning increases ecosystem resilience. However, these predictions rely on simplifying assumptions, such as assuming isotropic and infinitely large ecosystems, and empirical evidence…

Populations and Evolution · Quantitative Biology 2026-04-06 David Pinto-Ramos , Ricardo Martinez-Garcia