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The impact of environmental variability on population size growth rate in dynamic models is a recurrent issue in the theoretical ecology literature. In the scalar case, R. Lande pointed out that results are ambiguous depending on whether…

Probability · Mathematics 2009-08-19 Michel De Lara

Global change is reshaping ecosystems and societies. Strategic choices that were best yesterday may be sub-optimal tomorrow; and environmental conditions that were once taken for granted may soon cease to exist. In this setting, how people…

Populations and Evolution · Quantitative Biology 2024-04-23 Andrew R. Tilman , Vítor V. Vasconcelos , Erol Akçay , Joshua B. Plotkin

A noise source model, consisting of a pulse sequence at random times with memory, is presented. By varying the memory we can obtain variable randomness of the stochastic process. The delay time between pulses, i. e. the noise memory,…

Statistical Mechanics · Physics 2009-09-29 O. Chichigina , D. Valenti , B. Spagnolo

Ecologists have put forward many explanations for coexistence, but these are only partial explanations; nature is complex, so it is reasonable to assume that in any given ecological community, multiple mechanisms of coexistence are…

Populations and Evolution · Quantitative Biology 2022-01-21 Evan Johnson , Alan Hastings

Color naming in natural languages is not arbitrary: it reflects efficient partitions of perceptual color space modulated by the relative needs to communicate about different colors. These psychophysical and communicative constraints help…

Populations and Evolution · Quantitative Biology 2023-05-09 Colin R. Twomey , David H. Brainard , Joshua B. Plotkin

The mutual relationship between evolution and learning is a controversial argument among the artificial intelligence and neuro-evolution communities. After more than three decades, there is still no common agreement on the matter. In this…

Neural and Evolutionary Computing · Computer Science 2023-06-22 Paolo Pagliuca

Environmental changes play a critical role in determining the evolution of social dilemmas in many natural or social systems. Generally, the environmental changes include two prominent aspects: the global time-dependent fluctuations and the…

Physics and Society · Physics 2022-12-14 Yishen Jiang , Xin Wang , Longzhao Liu , Ming Wei , Jingwu Zhao , Zhiming Zheng , Shaoting Tang

Most real life systems have a random component: the multitude of endogenous and exogenous factors influencing them result in stochastic fluctuations of the parameters determining their dynamics. These empirical systems are in many cases…

General Finance · Quantitative Finance 2010-01-04 Gur Yaari , Sorin Solomon

Strong positive feedback is considered a necessary condition to observe abrupt shifts of ecosystems. A few previous studies have shown that demographic noise -- arising from the probabilistic and discrete nature of birth and death processes…

Populations and Evolution · Quantitative Biology 2021-06-22 Sabiha Majumder , Ayan Das , Appilineni Kushal , Sumithra Sankaran , Vishwesha Guttal

Spatially extended population dynamics models that incorporate intrinsic noise serve as case studies for the role of fluctuations and correlations in biological systems. Including spatial structure and stochastic noise in predator-prey…

Statistical Mechanics · Physics 2018-01-09 Ulrich Dobramysl , Mauro Mobilia , Michel Pleimling , Uwe C. Täuber

Many complex adaptive systems contain a large diversity of specialized components. The specialization at the level of the microscopic degrees of freedom, and diversity at the level of the system as a whole are phenomena that appear during…

adap-org · Physics 2007-05-23 Vivek S. Borkar , Sanjay Jain , Govindan Rangarajan

Motivated by the results of recent laboratory experiments (Yoshida et al. Nature, 424, 303-306 (2003)) as well as many earlier field observations that evolutionary changes can take place in ecosystems over relatively short ecological time…

Populations and Evolution · Quantitative Biology 2007-05-23 Debashish Chowdhury , Dietrich Stauffer

Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in…

Populations and Evolution · Quantitative Biology 2020-04-03 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

We introduce an individual-based model of a complex ecological community with random interactions. The model contains a large number of species, each with a finite population of individuals, subject to discrete reproduction and death…

Populations and Evolution · Quantitative Biology 2023-07-19 Ferran Larroya , Tobias Galla

Recently, computational modelling became a very important research tool that enables us to study problems that for decades evaded scientific analysis. Evolutionary systems are certainly examples of such problems: they are composed of many…

Populations and Evolution · Quantitative Biology 2009-07-04 Adam Lipowski , Dorota Lipowska

In this work, we explore the dynamics of species abundances within ecological communities using the Generalized Lotka-Volterra (GLV) model. At variance with previous approaches, we present an analysis of stochastic GLV dynamics with…

Populations and Evolution · Quantitative Biology 2024-04-24 Samir Suweis , Francesco Ferraro , Christian Grilletta , Sandro Azaele , Amos Maritan

Two mathematical models of macroevolution are studied. These models have population dynamics at the species level, and mutations and extinction of species are also included. The population dynamics are updated by difference equations with…

Populations and Evolution · Quantitative Biology 2014-04-16 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

A natural phenomenon occurring in a living system is an outcome of the dynamics of the specific biological network underlying the phenomenon. The collective dynamics have both deterministic and stochastic components. The stochastic nature…

Statistical Mechanics · Physics 2023-09-01 Indrani Bose

We consider the influence of local noise on a generalized network of populations having positive and negative feedbacks. The population dynamics at the nodes is nonlinear, typically chaotic, and allows cessation of activity if the…

Chaotic Dynamics · Physics 2014-12-03 Anshul Choudhary , Vivek Kohar , Sudeshna sinha

Colour information not only helps sustain the survival of animal species by guiding sexual selection and foraging behaviour, but also is an important factor in the cultural and technological development of our own species. This is…

Neurons and Cognition · Quantitative Biology 2022-06-03 Birgitta Dresp-Langley , Adam Reeves