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Evolutionary dynamics can be studied in well-mixed or structured populations. Population structure typically arises from the heterogeneous distribution of individuals in physical space or on social networks. Here we introduce a new type of…

Populations and Evolution · Quantitative Biology 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

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

We explore how strategic leaps alter the classic rock-paper-scissors dynamics in spatially structured populations. In our model, individuals can expend energy reserves to jump toward regions with a high density of individuals of the species…

Populations and Evolution · Quantitative Biology 2025-06-23 J. Menezes , R. Barbalho , Y. Sun

Phenotypically structured equations arise in population biology to describe the interaction of species with their environment that brings the nutrients. This interaction usually leads to selection of the fittest individuals. Models used in…

Analysis of PDEs · Mathematics 2015-06-18 Alexander Lorz , Benoit Perthame

Random copying is a simple model for population dynamics in the absence of selection, and has been applied to both biological and cultural evolution. In this work, we investigate the effect that spatial structure has on the dynamics. We…

Physics and Society · Physics 2015-05-26 Richard A Blythe

Enhancement of the predictive power and robustness of nonlinear population dynamics models allows ecologists to make more reliable forecasts about species' long term survival. However, the limited availability of detailed ecological data,…

Pattern Formation and Solitons · Physics 2025-04-18 Indrajyoti Gaine , Malay Banerjee

Human settlements on Earth are scattered in a multitude of shapes, sizes and spatial arrangements. These patterns are often not random but a result of complex geographical, cultural, economic and historical processes that have profound…

Physics and Society · Physics 2021-06-03 Emanuele Strano , Filippo Simini , Marco De Nadai , Thomas Esch , Mattia Marconcini

The paper reviews the results obtained for spatial population models and the evolution of the genealogies of these populations during the last decade by the author and his coworkers. The focus is on their large scale behaviour and on the…

Probability · Mathematics 2019-07-17 Andreas Greven

State-space models (SSMs) are an important modeling framework for analyzing ecological time series. These hierarchical models are commonly used to model population dynamics, animal movement, and capture-recapture data, and are now…

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

Studies on distribution, abundance and diversity of species revealed fascinating universalities in macroecology. Many of these patterns, like the species-area and range-abundance relationship or the year-to-year fluctuations in population…

Populations and Evolution · Quantitative Biology 2007-05-23 M. Ravasz , A. Balog , V. Marko , Z. Neda

With the establishment of global biological monitor network and development of remote sensing technology, data won't be a limitation, but the variance brought by spatial heterogeneous and fractal will influence correlation coefficient…

Applications · Statistics 2017-10-02 Xiatong Cai , Guangpeng Pei , Yuen Zhu , Donggang Guo , Hua Li

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and…

Populations and Evolution · Quantitative Biology 2018-09-12 David Steinsaltz , Shripad Tuljapurkar

Understanding the mechanisms of species coexistence has always been a fundamental topic in ecology. Classical theory predicts that interspecific competition may select for traits that stabilize niche differences, although recent work shows…

Populations and Evolution · Quantitative Biology 2023-05-16 José F. Fontanari , Margarida Matos , Mauro Santos

Concerns about biodiversity and the long-term stability of forest ecosystems have lead to changing attitudes with respect to plantations. These artificial communities are ubiquitous, yet provide reduced habitat value in comparison to their…

Populations and Evolution · Quantitative Biology 2009-10-05 Tom Adams , Graeme Ackland , Glenn Marion , Colin Edwards

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

Biological evolution is realised through the same mechanisms of birth and death that underlie change in population density. The deep interdependence between ecology and evolution is well-established, and recent models focus on integrating…

Populations and Evolution · Quantitative Biology 2025-10-14 A. Bradley Duthie , Victor J. Luque

Environmental stochasticity is known to be a destabilizing factor, increasing abundance fluctuations and extinction rates of populations. However, the stability of a community may benefit from the differential response of species to…

Populations and Evolution · Quantitative Biology 2016-02-10 Matan Danino , Nadav M. Shnerb , Sandro Azaele , William E. Kunin , David A. Kessler

Due to the conventional distinction between ecological (rapid) and evolutionary (slow)timescales, ecological and population models to date have typically ignored the effects of evolution. Yet the potential for rapid evolutionary change has…

Populations and Evolution · Quantitative Biology 2012-11-20 Laura E. Jones , Stephen P. Ellner

The spatial rock-paper-scissors ecosystem, where three species interact cyclically, is a model example of how spatial structure can maintain biodiversity. We here consider such a system for a broad range of interaction rates. When one…

Biological Physics · Physics 2013-06-21 Jeppe Juul , Kim Sneppen , Joachim Mathiesen