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Random matrix theory successfully connects the structure of interactions of large ecological communities to their ability to respond to perturbations. One of the most debated aspects of this approach is the missing role of population…

Populations and Evolution · Quantitative Biology 2018-09-12 Theo Gibbs , Jacopo Grilli , Tim Rogers , Stefano Allesina

Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the…

Adaptation and Self-Organizing Systems · Physics 2022-08-30 Anna Zincenko , Sergei Petrovskii , Vitaly Volpert

We propose a general model to study the interplay between spatial dispersal and environment spatiotemporal fluctuations in metapopulation dynamics. An ecological landscape of favorable patches is generated like a L\'{e}vy dust, which allows…

Populations and Evolution · Quantitative Biology 2015-08-20 E. H. Colombo , C. Anteneodo

We propose a model of multispecies populations surviving on distributed resources. System dynamics are investigated under changes in abiotic factors such as the climate, as parameterized through environmental temperature. In particular, we…

Populations and Evolution · Quantitative Biology 2017-10-25 I. Sudakov , S. A. Vakulenko , D. Kirievskaya , K. M. Golden

Joint Species Distribution Models are essential for understanding how ecological drivers shape species communities. However, most existing approaches are limited by rigid parametric distributions for count data and the inability to model…

Methodology · Statistics 2025-12-05 Lukas Graz , Luisa Barbanti , Roland Brandl , Torsten Hothorn

The behavior of interacting populations typically displays irregular temporal and spatial patterns that are difficult to reconcile with an underlying deterministic dynamics. A classical example is the heterogeneous distribution of plankton…

Populations and Evolution · Quantitative Biology 2009-11-13 M. H. Vainstein , J. M. Rubi , J. M. G. Vilar

There have been many studies to examine whether one trait is correlated with another trait across a group of present-day species (for example, do species with larger brains tend to have longer gestation times. Since the introduction of the…

Populations and Evolution · Quantitative Biology 2023-09-07 Albert Ch. Soewongsono , Barbara R. Holland , Malgorzata M. O'Reilly

How large ecosystems can create and maintain the remarkable biodiversity we see in nature is probably one of the biggest open questions in science, attracting attention from different fields, from Theoretical Ecology to Mathematics and…

Populations and Evolution · Quantitative Biology 2023-01-03 Violeta Calleja-Solanas , Nagi Khalil , Jesús Gómez-Gardeñes , Emilio Hernández-García , Sandro Meloni

We develop a landscape-flux framework to investigate observed frequency distributions of vegetation and the stability of these ecological systems under fluctuations. The frequency distributions can characterize the population-potential…

Populations and Evolution · Quantitative Biology 2022-10-12 Li Xu , Denis Patterson , Ann Carla Staver , Simon Asher Levin , Jin Wang

We propose a model for co-evolving ecosystems that takes into account two levels of description of an organism, for instance genotype and phenotype. Performance at the macroscopic level forces mutations at the microscopic level. These, in…

adap-org · Physics 2007-05-23 Guillermo Abramson , Jose Luis Vega

We describe a simple model of evolution which incorporates the branching and extinction of species lines, and also includes abiotic influences. A first principles approach is taken in which the probability for speciation and extinction are…

adap-org · Physics 2008-02-03 D. A. Head , G. J. Rodgers

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…

Quantitative Methods · Quantitative Biology 2019-11-01 Xue Feng , Sara Bonetti , Amilcare Porporato

Several formulations are describing the pattern of species-area relationship, log-log linear, semi-log linear, among others. These patterns mainly explain the species-area relationship for large areas, and for the small area, they provide…

Populations and Evolution · Quantitative Biology 2021-07-06 Saeid Alirezazadeh , Khadijeh Alibabaei , Stephen P. Hubbell

Microbial ecosystems exhibit a surprising amount of functionally relevant diversity at all levels of taxonomic resolution, presenting a significant challenge for most modeling frameworks. A long-standing hope of theoretical ecology is that…

Populations and Evolution · Quantitative Biology 2025-10-09 Jacob Moran , Lucas C. Graham , Mikhail Tikhonov

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

Ecological communities with many species can be classified into dynamical phases. In systems with all-to-all interactions, a phase where a fixed point is always reached and a dynamically-fluctuating phase have been found. The dynamics when…

Populations and Evolution · Quantitative Biology 2023-08-04 Stav Marcus , Ari M Turner , Guy Bunin

We introduce the Webworld model, which links together the ecological modelling of food web structure with the evolutionary modelling of speciation and extinction events. The model describes dynamics of ecological communities on an…

adap-org · Physics 2007-05-23 Guido Caldarelli , Paul G. Higgs , Alan J. McKane

Interpretation of empirical results based on a taxa's lifetime distribution shows apparently conflicting results. Species' lifetime is reported to be exponentially distributed, whereas higher order taxa, such as families or genera, follow a…

Populations and Evolution · Quantitative Biology 2009-11-11 S. Pigolotti , A. Flammini , M. Marsili , A. Maritan

Monitoring the distribution of microfossils in stratigraphic successions is an essential tool for biostratigraphic, evolutionary and paleoecologic/paleoceanographic studies. To estimate the relative abundance (%) of a given species, it is…

Quantitative Methods · Quantitative Biology 2018-05-14 Ali T. Haidar , Abbas Al-Hakim , Zhiyi Zhang

We study how environmental stochasticity influences the long-term population size in certain one- and two-species models. The difficulty is that even when one can prove that there is persistence, it is usually impossible to say anything…

Populations and Evolution · Quantitative Biology 2025-07-15 Alexandru Hening , Siddharth Sabharwal