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Vegetation in semi-arid environments self-organizes into striking spatial patterns -- bands, spots, labyrinths, and gaps -- with characteristic wavelengths on the order of tens to hundreds of meters. Existing reaction-diffusion models…

Pattern Formation and Solitons · Physics 2026-04-06 Chad M. Topaz

The discourse surrounding the structural organization of mutualistic interactions mostly revolves around modularity and nestedness. The former is known to enhance the stability of communities, while the latter is related to their…

Physics and Society · Physics 2024-07-10 Aniello Lampo , María J. Palazzi , Javier Borge-Holthoefer , Albert Solé-Ribalta

We present a novel optimal allocation model for perennial plants, in which assimilates are not allocated directly to vegetative or reproductive parts but instead go first to a storage compartment from where they are then optimally…

Populations and Evolution · Quantitative Biology 2013-10-01 Andrii Mironchenko , Jan Kozlowski

Mutualistic networks provide a powerful way to describe and analyse plant-pollinator communities and their structure over time. While these networks capture the complex interdependencies that link population fates across the season, they…

Physics and Society · Physics 2026-04-09 Tom Clegg , Thilo Gross

1. An understanding of how biodiversity confers ecosystem stability is crucial in managing ecosystems under major environmental changes. Multiple biodiversity drivers can stabilize ecosystem functions over time. However, we know little…

Life-history tradeoffs among species are major drivers of community assembly. Most studies investigate how tradeoffs promote deterministic coexistence of species. It remains unclear how tradeoffs may instead promote historically contingent…

Populations and Evolution · Quantitative Biology 2021-03-09 Niv DeMalach , Nadav Shnerb , Tadashi Fukami

Sellers of crop seeds need to plan for the variety and quantity of seeds to stock at least a year in advance. There are a large number of seed varieties of one crop, and each can perform best under different growing conditions. Given the…

Machine Learning · Computer Science 2021-01-13 Yunhe Feng , Wenjun Zhou

We consider a system of interacting Fisher-Wright diffusions with seed-bank. Individuals carry type one of two types, live in colonies, and are subject to resampling and migration as long as they are active. Each colony has a structured…

Probability · Mathematics 2022-09-22 Andreas Greven , Frank den Hollander

In many drylands around the globe, vegetation self-organizes into regular spatial patterns in response to aridity stress. We consider the regularly-spaced vegetation bands, on gentle hill-slopes, that survive low rainfall conditions by…

Pattern Formation and Solitons · Physics 2025-05-07 Punit Gandhi , Matthew Oline , Mary Silber

We derive the asymptotic behavior of the total, active and inactive branch lengths of the seed bank coalescent, when the size of the initial sample grows to infinity. Those random variables have important applications for populations…

Probability · Mathematics 2020-09-28 Adrián González Casanova , Lizbeth Peñaloza , Arno Siri-Jégousse

We consider a spatial version of the classical Moran model with seed-banks where the constituent populations have finite sizes. Individuals live in colonies labelled by $\mathbb{Z}^d$, $d\geq 1$, playing the role of a geographic space,…

Probability · Mathematics 2023-02-07 Frank den Hollander , Shubhamoy Nandan

Dryland ecosystems commonly exhibit periodic bands of vegetation, thought to form due to competition between individual plants for heterogeneously distributed water. In this paper, we develop a Fourier method for locally identifying the…

Pattern Formation and Solitons · Physics 2014-03-05 G. G. Penny , K. E. Daniels , S. E. Thompson

Diversity patterns of tree species in a tropical forest community are approached by a simple lattice model and investigated by Monte Carlo simulations using a backtracking method. Our spatially explicit neutral model is based on a simple…

Populations and Evolution · Quantitative Biology 2015-06-04 A. Derzsi , Z. Neda

Microbial populations generally evolve in volatile environments, under conditions fluctuating between harsh and mild, e.g. as the result of sudden changes in toxin concentration or nutrient abundance. Environmental variability thus shapes…

Populations and Evolution · Quantitative Biology 2023-12-07 Matthew Asker , Lluís Hernández-Navarro , Alastair M. Rucklidge , Mauro Mobilia

Understanding the stability of complex communities is a central focus in ecology, many important theoretical advancements have been made to identify drivers of ecological stability. However, previous results often rely on the…

Populations and Evolution · Quantitative Biology 2025-04-04 Shuaiying Wang , Yuguang Yang , Aming Li

In varying environments it is beneficial for organisms to utilize available cues to infer the conditions they may encounter and express potentially favorable traits. However, external cues can be unreliable or too costly to use. We consider…

Populations and Evolution · Quantitative Biology 2023-01-10 Leo Law , BingKan Xue

Ecological selection forces for weedy and domesticated traits have influenced the evolution of seed shape in Setaria resulting in similarity in seed shape that reflects similarity in ecological function rather than reflecting phylogenetic…

Populations and Evolution · Quantitative Biology 2014-03-28 J. L. Donnelly , D. C. Adams , J. Dekker

We consider a system of interacting Moran models with seed-banks. Individuals live in colonies and are subject to resampling and migration as long as they are $active$. Each colony has a seed-bank into which individuals can retreat to…

Probability · Mathematics 2021-07-29 Frank den Hollander , Shubhamoy Nandan

Understanding the causes and effects of spatial vegetation patterns is a fundamental problem in ecology, especially because these can be used as early predictors of catastrophic shifts such as desertification processes. Empirical studies of…

Statistical Mechanics · Physics 2020-06-19 Paula Villa Martín , Virginia Domínguez-García , Miguel A. Muñoz

Vegetation in semi-arid ecosystems frequently organizes into spatially heterogeneous mosaics that regulate ecosystem functioning, productivity, and resilience. These patterns arise from local biological interactions, including facilitation…

Populations and Evolution · Quantitative Biology 2026-02-06 Àlex Giménez-Romero , Bernard A. Afful , Priscilla E. Greenwood , Manuel A. Matías , Luis F. Gordillo