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I study a population model in which the reproduction rate lambda is inherited with mutation, favoring fast reproducers in the short term, but conflicting with a process that eliminates agglomerations of individuals. The model is a variant…

Statistical Mechanics · Physics 2021-06-02 Ronald Dickman

We analyze the harvesting and stocking of a population that is affected by random and seasonal environmental fluctuations. The main novelty comes from having three layers of environmental fluctuations. The first layer is due to the…

Probability · Mathematics 2024-07-10 Alexandru Hening , Ky Q. Tran , Sergiu C. Ungureanu

The role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The…

Populations and Evolution · Quantitative Biology 2009-11-13 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

In ecology, species can mitigate their extinction risks in uncertain environments by diversifying individual phenotypes. This observation is quantified by the theory of bet-hedging, which provides a reason for the degree of phenotypic…

Populations and Evolution · Quantitative Biology 2019-06-19 Paula Villa Martín , Miguel A. Muñoz , Simone Pigolotti

We analyse a series of bacterial growth models with in-built inter-individual variation in rates of cell division. We show that this variation leads to reduced population growth in favorable regimes and reduced population killing in…

Populations and Evolution · Quantitative Biology 2025-11-05 John A. Mackenzie , Adam Hillman , M. Gabriela M. Gomes

We study the effect of speciation, i.e. the introduction of new species through evolution into communities, in the setting of predator-prey systems. Predator-prey dynamics is classically well modeled by Lotka-Volterra equations, also when…

Populations and Evolution · Quantitative Biology 2025-03-20 Christian Hamster , Jorik Schaap , Peter van Heijster , Joshua Dijksman

Plant functional trait variation in tropical forests is central to predicting ecosystem responses to change. Informaiton on traits is limited relative to the diversity of climate, landforms, disturbance regimes and species present. These…

Populations and Evolution · Quantitative Biology 2025-05-27 David Schimel , Andres Baresch , Adam Chlus , Phil Townsend , Fabian Schneider , Gaia Vaglio Laurin , Ben Poulter

Unraveling patterns of animals' movements is important for understanding the fundamental basics of biogeography, tracking range shifts resulting from climate change, predicting and preventing biological invansions. Many researchers have…

Populations and Evolution · Quantitative Biology 2020-04-20 Nikolay Markov , Evgeny Ivanko

Destabilization of the water cycle threatens human lives and livelihoods. Meanwhile our understanding of whether and how changes in vegetation cover could trigger abrupt transitions in moisture regimes remains incomplete. This challenge…

We conducted an investigation of the effect that extreme variability of the individual's environment has in the individual's adaptability and, in general, in the co-evolution of a population. First we assume that the individuals are a kind…

Biological Physics · Physics 2008-04-21 Juan G. Diaz Ochoa

Honeybees play an important role in the production of many agricultural crops and in sustaining plant diversity in undisturbed ecosystems. The rapid decline of honeybee populations have sparked great concern worldwide. Previous studies have…

Populations and Evolution · Quantitative Biology 2020-08-12 Komi Messan , Marisabel Rodriguez Messan , Jun Chen , Gloria DeGrandi-Hoffman , Yun Kang

We consider a population structured by a spacevariable and a phenotypical trait, submitted to dispersion,mutations, growth and nonlocal competition. We introduce theclimate shift due to {\it Global Warming} and discuss the dynamicsof the…

Analysis of PDEs · Mathematics 2015-11-17 Matthieu Alfaro , Henri Berestycki , Gaël Raoul

The metaphor of holey adaptive landscapes provides a pictorial representation of the process of speciation as a consequence of genetic divergence. In this metaphor, biological populations diverge along connected clusters of well-fit…

adap-org · Physics 2007-05-23 Sergey Gavrilets

Earth system tipping elements have been predominantly investigated for their potential to trigger \textit{negative} ecological, climatic, and societal shifts. Yet, an overlooked but seminal avenue exists in the form of \textit{positive}…

Beta-diversity has been repeatedly shown to decline with increasing elevation, but the causes of this pattern remain unclear, partly because they are confounded by coincident variation in alpha- and gamma-diversity. We used 8,795 forest…

Populations and Evolution · Quantitative Biology 2018-11-06 Francesco Maria Sabatini , Borja Jiménez-Alfaro , Sabina Burrascano , Andrea Lora , Milan Chytrý

Ecologists have long investigated how demographic and movement parameters determine the spatial distribution and critical habitat size of a population. However, most models oversimplify movement behavior, neglecting how landscape…

Populations and Evolution · Quantitative Biology 2024-03-11 Vivian Dornelas , Pablo de Castro , Justin M. Calabrese , William F. Fagan , Ricardo Martinez-Garcia

Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance…

We investigate the evolutionary dynamics of an age-structured population under weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We can disentangle the…

Populations and Evolution · Quantitative Biology 2022-12-20 Sona John , Johannes Müller

In the current scenario of climate change, cold-adapted insects are among the most threatened organisms in high-altitude habitats of the Alps. Upslope shifts and changes in phenology are two of the most investigated responses to climate…

Populations and Evolution · Quantitative Biology 2020-11-23 Barbara Valle , Roberto Ambrosini , Marco Caccianiga , Mauro Gobbi

Understanding how vegetation loss alters rainfall remains a major challenge in climate and hydrological science, as deforestation modifies precipitation through heterogeneous, seasonal and nonlinear land-atmosphere feedbacks. Existing…

Atmospheric and Oceanic Physics · Physics 2026-05-13 Lilly Horvath-Makkos , Fayyaz Minhas
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