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The spatial rock-paper-scissors ecosystem, where three species interact cyclically, is a model example of how spatial structure can maintain biodiversity. We here consider such a system for a broad range of interaction rates. When one…

Biological Physics · Physics 2013-06-21 Jeppe Juul , Kim Sneppen , Joachim Mathiesen

Scale-free foraging patterns are widespread among animals. These may be the outcome of an optimal searching strategy to find scarce randomly distributed resources, but a less explored alternative is that this behaviour may result from the…

Populations and Evolution · Quantitative Biology 2007-05-23 Denis Boyer , Gabriel Ramos-Fernández , Octavio Miramontes , José L. Mateos , Germinal Cocho , Hernán Larralde , Humberto Ramos , Fernando Rojas

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

Within machine learning, the supervised learning field aims at modeling the input-output relationship of a system, from past observations of its behavior. Decision trees characterize the input-output relationship through a series of nested…

Machine Learning · Statistics 2019-05-20 Arnaud Joly

Communities around the world are increasingly interested in nature-based solutions to mitigation of coastal risks like coastal forests, but it remains unclear how much protective benefits vegetation provides, particularly in the limit of…

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

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…

Populations and Evolution · Quantitative Biology 2026-04-30 Davide Bernardi , Giorgio Nicoletti , Prajwal Padmanabha , Samir Suweis , Sandro Azaele , Simon A. Levin , Andrea Rinaldo , Amos Maritan

This topic review communicates working experiences regarding interaction of a multiplicity of processes. Our experiences come from climate change modelling, materials science, cell physiology and public health, and macroeconomic modelling.…

General Economics · Economics 2020-02-07 Bernhelm Booss-Bavnbek , Rasmus Kristoffer Pedersen , Ulf Rørbæk Pedersen

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

We examine the negative occupancy distribution and the coupon-collector distribution, both of which arise as distributions relating to hitting times in the extended occupancy problem. These distributions constitute a full solution to a…

Probability · Mathematics 2022-01-11 Ben O'Neill

We look at the interaction of dispersal and environmental stochasticity in $n$-patch models. We are able to prove persistence and extinction results even in the setting when the dispersal rates are stochastic. As applications we look at…

Populations and Evolution · Quantitative Biology 2025-11-26 Alexandru Hening , Siddharth Sabharwal

One of the first beings affected by changes in the climate are trees, one of our most vital resources. In this study tree species interaction and the response to climate in different ecological environments is observed by applying a joint…

Populations and Evolution · Quantitative Biology 2019-10-14 Hyun Choi , Ali Sadeghian , Sergio Marconi , Ethan White , Daisy Zhe Wang

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 show that the Sibuya distribution and its non-critical relatives are relevant in the context of the recursive generation of both simply generated and increasing critical trees' and forests' progenies. A special class of generalized…

Combinatorics · Mathematics 2025-10-14 Thierry E Huillet

Teleconnections between the tropical and the extratropical climates are often considered as a potential source of long-term predictability at seasonal to decadal time scales in the extratropics. This claim is taken up in the present work by…

Atmospheric and Oceanic Physics · Physics 2023-10-17 Stephane Vannitsem

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…

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

Random forests are classical ensemble algorithms that construct multiple randomized decision trees and aggregate their predictions using naive averaging. \citet{zhou2019deep} further propose a deep forest algorithm with multi-layer forests,…

Machine Learning · Computer Science 2025-02-04 Shen-Huan Lyu , Jin-Hui Wu , Qin-Cheng Zheng , Baoliu Ye

Positive feedback regulation is ubiquitous in cell signaling networks, often leading to binary outcomes in response to graded stimuli. However, the role of such feedbacks in clustering, and in spatial spreading of activated molecules, has…

Soft Condensed Matter · Physics 2015-05-13 Jayajit Das , Mehran Kardar , Arup K. Chakraborty

We consider finding a counterfactual explanation for a classification or regression forest, such as a random forest. This requires solving an optimization problem to find the closest input instance to a given instance for which the forest…

Machine Learning · Computer Science 2023-03-07 Miguel Á. Carreira-Perpiñán , Suryabhan Singh Hada