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A theory of relative species abundance on sparsely-connected networks is presented by investigating the replicator dynamics with symmetric interactions. Sparseness of a network involves difficulty in analyzing the fixed points of the…

统计力学 · 物理学 2016-12-21 Tomoyuki Obuchi , Yoshiyuki Kabashima , Kei Tokita

The appropriateness of the Poisson model is frequently challenged when examining spatial count data marked by unbalanced distributions, over-dispersion, or under-dispersion. Moreover, traditional parametric models may inadequately capture…

统计方法学 · 统计学 2025-03-26 Mahsa Nadifar , Andriette Bekker , Mohammad Arashi , Abel Ramoelo

Representational similarity analysis (RSA) is a multivariate technique to investigate cortical representations of objects or constructs. While avoiding ill-posed matrix inversions that plague multivariate approaches in the presence of many…

统计方法学 · 统计学 2021-12-03 Roberto Viviani

We run stochastic simulations of the spatial version of the rock-paper-scissors game, considering that individuals use sensory abilities to scan the environment to detect the presence of enemies. If the local dangerousness level is above a…

种群与进化 · 定量生物学 2023-05-04 J. Menezes , E. Rangel

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…

应用统计 · 统计学 2025-09-03 Braden Scherting , Otso Ovaskainen , David B. Dunson

We introduce a simple ecological model describing the spatial organization of two interacting populations whose individuals are indifferent to conspecifics and avoid the proximity to heterospecifics. At small population densities $\Phi$ a…

种群与进化 · 定量生物学 2014-05-22 Fabio Giavazzi , Alberto Vailati

This paper presents the generalized spatial autoregression (GSAR) model, a significant advance in spatial econometrics for non-normal response variables belonging to the exponential family. The GSAR model extends the logistic SAR, probit…

统计方法学 · 统计学 2024-12-03 N. A. Cruz , J. D. Toloza-Delgado , O. O. Melo

The Random Sequential Adsorption (RSA) problem holds crucial theoretical and practical significance, serving as a pivotal framework for understanding and optimizing particle packing in various scientific and technological applications. Here…

统计力学 · 物理学 2024-04-09 G Palacios , A M S Macêdo , Sumanta Kundu , M A F Gomes

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

统计方法学 · 统计学 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

Predicting species persistence within ecological communities is a fundamental challenge for both empirical and theoretical ecology. Existing methods span from mechanistic models, whose parameters are difficult to estimate from data, to…

The modifiable areal unit problem and the ecological fallacy are known problems that occur when modeling multiscale spatial processes. We investigate how these forms of spatial aggregation error can guide a regionalization over a spatial…

统计方法学 · 统计学 2015-12-11 Jonathan R. Bradley , Christopher K. Wikle , Scott H. Holan

Tropical rainforests exhibit a rich repertoire of spatial patterns emerging from the intricate relationship between the microscopic interaction between species. In particular, the distribution of vegetation clusters can shed much light on…

统计力学 · 物理学 2024-09-04 Pablo Villegas , Tommaso Gili , Guido Caldarelli , Andrea Gabrielli

This paper concerns the development of partial and semi-partial measures of spatial associations in the context of multivariate spatial lattice data which describe global or local associations among spatially aggregated measurements for…

统计方法学 · 统计学 2019-06-05 Matthias Eckardt , Jorge Mateu

An analytic theory of species abundance patterns (SAPs) in biological networks is presented. The theory is based on multispecies replicator dynamics equivalent to the Lotka-Volterra equation, with diverse interspecies interactions. Various…

适应与自组织系统 · 物理学 2009-11-10 Kei Tokita

Speciation is the "elephant in the room" of community ecology. As the ultimate source of biodiversity, its integration in ecology's theoretical corpus is necessary to understand community assembly. Yet, speciation is often completely…

种群与进化 · 定量生物学 2012-08-07 Philippe Desjardins-Proulx , Dominique Gravel

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…

统计力学 · 物理学 2021-09-16 Pablo Villegas , Tommaso Gili , Guido Caldarelli

In ecology, the description of species composition and biodiversity calls for statistical methods that involve estimating features of interest in unobserved samples based on an observed one. In the last decade, the Bayesian nonparametrics…

统计方法学 · 统计学 2026-04-28 Alessandro Colombi , Raffaele Argiento , Federico Camerlenghi , Lucia Paci

Models relating to the Species-Area curve are usually defined at the species level, and concerned only with ecological timescales. We examine an individual-based model of co-evolution on a spatial lattice based on the Tangled Nature model,…

种群与进化 · 定量生物学 2007-05-23 Daniel Lawson , Henrik Jeldtoft Jensen

Understanding the complex interactions within the microbiome is crucial for developing effective diagnostic and therapeutic strategies. Traditional machine learning models often lack interpretability, which is essential for clinical and…

机器学习 · 计算机科学 2024-10-22 Swagatam Haldar , Christoph Stein-Thoeringer , Vadim Borisov

Objective: Social-environmental data obtained from the U.S. Census is an important resource for understanding health disparities, but rarely is the full dataset utilized for analysis. A barrier to incorporating the full data is a lack of…

应用统计 · 统计学 2020-09-02 Elizabeth Handorf , Yinuo Yin , Michael Slifker , Shannon Lynch