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We derive a linear recursion relation for the species abundance distribution in a statistical model of ecology and demonstrate the existence of a scaling solution.

统计力学 · 物理学 2013-05-29 Hector Garcia Martin , Nigel Goldenfeld

McNamara and Dall (2011) identified novel relationships between the abundance of a species in different environments, the temporal properties of environmental change, and selection for or against dispersal. Here, the mathematics underlying…

种群与进化 · 定量生物学 2013-02-04 Lee Altenberg

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

统计方法学 · 统计学 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Traditional percolation theory assumes static microscopic rules, limiting its ability to describe real-world complex systems where macroscopic order actively regulates local interactions. Here, we introduce feedback percolation, an unified…

统计力学 · 物理学 2026-03-31 Hoseung Jang , Ginestra Bianconi , Byungjoon Min

Traditional studies of memory for meaningful narratives focus on specific stories and their semantic structures but do not address common quantitative features of recall across different narratives. We introduce a statistical ensemble of…

How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

混沌动力学 · 物理学 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

We present studies for an individual based model of three interacting populations whose individuals are mobile in a 2D-lattice. We focus on the pattern formation in the spatial distributions of the populations. Also relevant is the…

种群与进化 · 定量生物学 2007-12-18 I. C. Charret , M. V. Carneiro

In the face of uncertain biological response to climate change and the many critiques concerning model complexity it is increasingly important to develop predictive mechanistic frameworks that capture the dominant features of ecological…

种群与进化 · 定量生物学 2015-06-05 Christopher P. Kempes , Sungho Choi , William Dooris , Geoffrey B. West

Many natural, complex systems are remarkably stable thanks to an absence of feedback acting on their elements. When described as networks, these exhibit few or no cycles, and associated matrices have small leading eigenvalues. It has been…

物理与社会 · 物理学 2017-06-12 Samuel Johnson , Nick S. Jones

The assembly of ecological communities from a pool of species is central to ecology, but the effect of this process on properties of community interaction networks is still largely unknown. Here, we use a systematic analytical framework to…

种群与进化 · 定量生物学 2016-07-19 Guy Bunin

Ecological selection is a major driver of community assembly. Selection is classified as stabilizing when species with intermediate trait values gain the highest reproductive success, whereas selection is considered directional when fitness…

种群与进化 · 定量生物学 2021-05-13 DeMalach Niv , Po-Ju Ke , Tadashi Fukami

We investigate the adaptive Ambush strategy in cyclic models following the rules of the spatial rock-paper-scissors game. In our model, individuals of one species possess cognitive abilities to perceive environmental cues and assess the…

种群与进化 · 定量生物学 2025-10-21 J. Menezes , R. Barbalho

The tragedy of the commons (TOC) is an unfortunate situation where a shared resource is exhausted due to uncontrolled exploitation by the selfish individuals of a population. Recently, the paradigmatic replicator equation has been used in…

适应与自组织系统 · 物理学 2021-10-27 Joy Das Bairagya , Samrat Sohel Mondal , Debashish Chowdhury , Sagar Chakraborty

Nonlinear plant-scale interactions controlling the soil-water balance are generally not valid at larger spatial scales due to spatial heterogeneity in rainfall and vegetation type. The relationships between spatially averaged variables are…

Ensembles of coupled nonlinear oscillators are a popular paradigm and an ideal benchmark for analyzing complex collective behaviors. The onset of cluster synchronization is found to be at the core of various technological and biological…

适应与自组织系统 · 物理学 2024-03-29 Sayantan Nag Chowdhury , Md Sayeed Anwar , Dibakar Ghosh

The consistency of the species abundance distribution across diverse communities has attracted widespread attention. In this paper, I argue that the consistency of pattern arises because diverse ecological mechanisms share a common symmetry…

种群与进化 · 定量生物学 2011-02-28 Steven A. Frank

Many organisms navigate gradients by alternating straight motions (runs) with random reorientations (tumbles), transiently suppressing tumbles whenever attractant signal increases. This induces a functional coupling between movement and…

细胞行为 · 定量生物学 2017-04-12 Junjiajia Long , Steven W. Zucker , Thierry Emonet

We investigate correlations between the long wavelength fluctuations and the small scale power in the Lyman alpha forest. We show that such correlations can be used to discriminate between fluctuations induced by large scale structure and…

天体物理学 · 物理学 2009-10-31 Matias Zaldarriaga , Uros Seljak , Lam Hui

Many species are unsustainable at small population densities (Allee Effect), i.e., below a threshold named Allee threshold, the population decreases instead of growing. In a closed local population, environmental fluctuations always lead to…

种群与进化 · 定量生物学 2022-01-27 Rodrigo Crespo , Javier Jarillo , Francisco J. Cao-García

People tend to have their social interactions with members of their own community. Such group-structured interactions can have a profound impact on the behaviors that evolve. Group structure affects the way people cooperate, and how they…

种群与进化 · 定量生物学 2022-11-09 Yohsuke Murase , Christian Hilbe , Seung Ki Baek