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Characterising the statistical properties of classical interacting particle systems is a long-standing question. For Brownian particles the microscopic density obeys a stochastic evolution equation, known as the Dean--Kawasaki equation.…

统计力学 · 物理学 2025-09-30 Aurélien Grabsch , Davide Venturelli , Olivier Bénichou

Microbes are often discussed in terms of dichotomies such as copiotrophic/oligotrophic and fast/slow-growing microbes, defined using the characterisation of microbial growth in isolated cultures. The dichotomies are usually qualitative…

种群与进化 · 定量生物学 2023-04-18 Luciana L. Couso , Alfonso Soler-Bistue , Ariel A. Aptekmann , Ignacio E. Sanchez

Despite the common misconception of nearly static organisms, plants do interact continuously with the environment and with each other. It is fair to assume that during their evolution they developed particular features to overcome problems…

种群与进化 · 定量生物学 2016-02-19 Gianna Vivaldo , Elisa Masi , Camilla Pandolfi , Stefano Mancuso , Guido Caldarelli

High-dimensional Bayesian procedures often exhibit behavior that is effectively low dimensional, even when the ambient parameter space is large or infinite-dimensional. This phenomenon underlies the success of shrinkage priors,…

统计理论 · 数学 2025-12-30 Sayantan Banerjee

Ecologists and conservation biologists need to identify the relative importance of species to make sound management decisions and effectively allocate scarce resources. We introduce a new method, termed environ centrality, to determine the…

种群与进化 · 定量生物学 2011-11-28 Sarah L. Fann , Stuart R. Borrett

Ecosystems frequently display the coexistence of diverse species under resource competition, typically resulting in skewed distributions of rarity and abundance. A potential driver of such coexistence is environmental fluctuations that…

种群与进化 · 定量生物学 2025-08-07 Davide Zanchetta , Deepak Gupta , Sofia Moschin , Samir Suweis , Amos Maritan , Sandro Azaele

Diversity is a fundamental feature of ecosystems, even when the concept of ecosystem is extended to sociology or economics. Diversity can be intended as the count of different items, animals, or, more generally, interactions. There are two…

物理与社会 · 物理学 2016-09-14 Andrea Tacchella , Riccardo Di Clemente , Andrea Gabrielli , Luciano Pietronero

The maintenance of diversity, the `commonness of rarity', and compositional turnover are ubiquitous features of species-rich communities. Through a minimal model, we consider how these features reflect the interplay between environmental…

种群与进化 · 定量生物学 2025-12-04 Emil Mallmin , Arne Traulsen , Silvia De Monte

Whether or not biodiversity dynamics tend toward stable equilibria remains an unsolved question in ecology and evolution with important implications for our understanding of diversity and its conservation. Phylo/population genetic models…

种群与进化 · 定量生物学 2017-05-16 A. J. Rominger , I. Overcast , H. Krehenwinkel , R. G. Gillespie , J. Harte , M. J. Hickerson

Scaling laws illuminate Nature's fundamental biological principles and guide bioinspired materials and structural designs. In simple cases they are based on the fundamental principle that all laws of nature remain unchanged (i.e.,…

生物物理 · 物理学 2025-02-18 Huan Liu , Shashank Priya , Richard D. James

Natural ecosystems, in particular on the microbial scale, are inhabited by a large number of species. The population size of each species is affected by interactions of individuals with each other and by spatial and temporal changes in…

种群与进化 · 定量生物学 2023-06-23 Tom Burkart , Jan Willeke , Erwin Frey

We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

种群与进化 · 定量生物学 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

A new model ecosystem consisting of many interacting species is introduced. The species are connected through a random matrix with a given connectivity. It is shown that the system is organized close to a boundary of marginal stability in…

adap-org · 物理学 2007-05-23 Ricard V. Sole , David Alonso , Alan McKane

Several theoretical frameworks have been proposed to explain observed biodiversity patterns, ranging from the classical niche-based theories, mainly employing a continuous formalism, to neutral theories, based on statistical mechanics of…

定量方法 · 定量生物学 2019-11-01 Xue Feng , Sara Bonetti , Amilcare Porporato

The evolution of states of a spatial ecological model is studied. The model describes an infinite population of point entities placed in $\mathbb{R}^d$ which reproduce themselves at distant points (disperse) and die with rate that includes…

动力系统 · 数学 2015-12-22 Yuri Kondratiev , Yuri Kozitsky

The gradual patterns that model the complex co-variations of attributes of the form "The more/less X, The more/less Y" play a crucial role in many real world applications where the amount of numerical data to manage is important, this is…

机器学习 · 计算机科学 2020-05-25 Michaël Chirmeni Boujike , Jerry Lonlac , Norbert Tsopze , Engelbert Mephu Nguifo

State-space models are dynamical systems defined by a latent and an observed process. In ecology, stochastic state-space models in discrete time are most often used to describe the imperfectly observed dynamics of population sizes or animal…

统计方法学 · 统计学 2025-08-13 Frederic Barraquand , Julien Gibaud

We develop information-theoretic measures of spatial structure and pattern in more than one dimension. As is well known, the entropy density of a two-dimensional configuration can be efficiently and accurately estimated via a converging…

统计力学 · 物理学 2009-11-07 David P. Feldman , James P. Crutchfield

The increasing volume of ecologically and biologically relevant data has revealed a wide collection of emergent patterns in living systems. Analyzing different datasets, ranging from metabolic gene-regulatory to species interaction…

物理与社会 · 物理学 2019-12-13 Daniel M. Busiello , Samir Suweis , Jorge Hidalgo , Amos Maritan

Dynamic models of biochemical networks typically consist of sets of non-linear ordinary differential equations involving states (concentrations or amounts of the components of the network) and parameters describing the reaction kinetics.…

分子网络 · 定量生物学 2014-03-07 Oana-Teodora Chis , Julio R. Banga , Eva Balsa-Canto