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The widespread occurrence of an inverse square relation in the hierarchical distribution of sub-communities within communities (or sub-species within species) has been recently invoked as a signature of hierarchical self-organization within…

Statistical Mechanics · Physics 2009-11-10 Guido Caldarelli , Cecile Caretta Cartozo , Paolo De Los Rios , Vito D. P. Servedio

Clustering is a fundamental approach to understanding data patterns, wherein the intuitive Euclidean distance space is commonly adopted. However, this is not the case for implicit cluster distributions reflected by qualitative attribute…

Machine Learning · Statistics 2026-03-05 Mingjie Zhao , Sen Feng , Yiqun Zhang , Mengke Li , Yang Lu , Yiu-ming Cheung

Due to climatic changes, excessive grazing, and deforestation, semi-arid and arid ecosystems are vulnerable to desertification and land degradation. As aridity increases, vegetation cover often self-organizes into spatial patterns before…

Populations and Evolution · Quantitative Biology 2026-04-27 David Pinto-Ramos , Marcel Gabriel Clerc , Abdelkader Makhoute , Mustapha Tlidi

In social-ecological systems (SESs), social and biophysical dynamics interact within and between structural levels separated by spatial and temporal scales. Cross-scale interactions (CSIs) are interdependences between processes at different…

Physics and Society · Physics 2019-05-10 Andrew K. Ringsmuth , Steven J. Lade , Maja Schlüter

Spatial ecological networks are widely used to model interactions between georeferenced biological entities (e.g., populations or communities). The analysis of such data often leads to a two-step approach where groups containing similar…

Applications · Statistics 2014-02-24 Vincent Miele , Franck Picard , Stéphane Dray

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

Patches of vegetation consist of dense clusters of shrubs, grass, or trees, often found to be circular characteristic size, defined by the properties of the vegetation and terrain. Therefore, vegetation patches can be interpreted as…

Pattern Formation and Solitons · Physics 2017-11-29 Mustapha Tlidi , Ignacio Bordeu , Marcel G. Clerc , Daniel Escaff

Tree-size distribution is one of the most investigated subjects in plant population biology. The forestry literature reports that tree-size distribution trajectories vary across different stands and/or species, while the metabolic scaling…

Populations and Evolution · Quantitative Biology 2012-12-04 Tommaso Anfodillo , Marco Carrer , Filippo Simini , Ionel Popa , Jayanth R. Banavar , Amos Maritan

In many data scientific problems, we are interested in inferring causal relationships in the data generating mechanism. Here, we consider the following real-world question: how has the Colombian conflict influenced tropical forest loss?…

We propose a model equation for the dynamics of tree density in mesic savannas. It considers long-range competition among trees and the effect of fire acting as a local facilitation mechanism. Despite short-range facilitation is taken to…

Pattern Formation and Solitons · Physics 2014-07-24 Ricardo Martinez-Garcia , Justin M. Calabrese , Cristobal Lopez

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…

Populations and Evolution · Quantitative Biology 2015-06-05 Christopher P. Kempes , Sungho Choi , William Dooris , Geoffrey B. West

Traditional approaches to ecosystem modelling have relied on spatially homogeneous approximations to interaction, growth and death. More recently, spatial interaction and dispersal have also been considered. While these leads to certain…

Populations and Evolution · Quantitative Biology 2010-10-07 Thomas Adams \ast , Graeme Ackland , Glenn Marion , Colin Edwards

Previous work indicates that tropical forest can exist as an alternative stable state to savanna. Therefore, perturbation by climate change or human impact may lead to crossing of a tipping point beyond which there is rapid forest dieback…

Populations and Evolution · Quantitative Biology 2023-09-07 Bert Wuyts , Jan Sieber

Noise and spatial degrees of freedom characterize most ecosystems. Some aspects of their influence on the coevolution of populations with cyclic interspecies competition have been demonstrated in recent experiments [e.g. B. Kerr et al.,…

Populations and Evolution · Quantitative Biology 2007-12-08 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

Nonuniform spatial distributions of vegetation in scarce environments consist of either gaps, bands often called tiger bush or patches that can be either self-organized or spatially localized in space. When the level of aridity is…

Pattern Formation and Solitons · Physics 2020-02-19 Jaime Cisternas , Daniel Escaff , M. Clerc , René Lefever , Mustapha Tlidi

Eco-evolutionary frameworks can explain certain features of communities in which ecological and evolutionary processes occur over comparable timescales. Here, we investigate whether an evolutionary dynamics may interact with the spatial…

Populations and Evolution · Quantitative Biology 2019-12-04 Eduardo H. Colombo , Ricardo Martínez-García , Cristóbal , López , Emilio Hernández-García

The spatial scale of population synchrony gives the characteristic distance at which the population fluctuations are correlated. Therefore, it gives also the characteristic size of the regions of simultaneous population depletion, or even…

Populations and Evolution · Quantitative Biology 2020-12-22 Miguel Ángel Fernández-Grande , Francisco Javier Cao-Garcia

Self-organized spatial patterns of vegetation are frequent in drylands and, because pattern shape correlates with water availability, they have been suggested as important indicators of ecosystem health. However, the mechanisms underlying…

Correlations among the independently measured physical properties of globular clusters (GCs) can provide powerful tests for theoretical models and new insights into their dynamics, formation, and evolution. We review briefly some of the…

From bird flocks to fish schools, animal groups often seem to react to environmental perturbations as if of one mind. Most studies in collective animal behaviour have aimed to understand how a globally ordered state may emerge from simple…

Populations and Evolution · Quantitative Biology 2014-10-10 Andrea Cavagna , Alessio Cimarelli , Irene Giardina , Giorgio Parisi , Raffaele Santagati , Fabio Stefanini , Massimiliano Viale