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Predicting the fate of ecologies is a daunting, albeit extremely important, task. As part of this task one needs to develop an understanding of the organization, hierarchies, and correlations among the species forming the ecology. Focusing…

Populations and Evolution · Quantitative Biology 2016-08-31 Ahmed Roman , Debanjan Dasgupta , Michel Pleimling

We develop a ``unified'' model that describes both ``micro'' and ``macro'' evolutions within a single theoretical framework. The eco-system is described as a dynamic network; the population dynamics at each node of this network describes…

Statistical Mechanics · Physics 2013-05-29 Debashish Chowdhury , Dietrich Stauffer , Ambarish Kunwar

We model the spatial dynamics of a forest stand by using a special class of spatio-temporal point processes, the sequential spatial point process, where the spatial dimension is parameterized and the time component is atomic. The sequential…

What determines biodiversity in nature is a prominent issue in ecology, especially in biotic resource systems that are typically devoid of cross-feeding. Here, we show that by incorporating pairwise encounters among consumer individuals…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Xin Wang

We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

Populations and Evolution · Quantitative Biology 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

Fire is an indissoluble component of ecosystems, however quantifying the effects of fire on vegetation is challenging task as fire lies outside the typical experimental design attributes. A recent simulation study showed that under…

Populations and Evolution · Quantitative Biology 2014-12-16 Aristides Moustakas

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

This article shows how to specify and construct a discrete, stochastic, continuous-time model specifically for ecological systems. The model is more broad than typical chemical kinetics models in two ways. First, using time-dependent hazard…

Populations and Evolution · Quantitative Biology 2015-06-30 Andrew J. Dolgert

Ecological systems are emergent features of ecological and adaptive dynamics of a community of interacting species. By natural selection through the abiotic environment and by co-adaptation within the community, species evolve, thereby…

Populations and Evolution · Quantitative Biology 2018-07-03 Katharina Brinck , Henrik Jeldtoft Jensen

A new family of tree models is proposed, which we call "differential trees." A differential tree model is constructed from multiple data sets and aims to detect distributional differences between them. The new methodology differs from the…

Methodology · Statistics 2012-10-01 Yong Wang , Ilze Ziedins , Mark Holmes , Neil Challands

We consider an evolving network of a fixed number of nodes. The allocation of edges is a dynamical stochastic process inspired by biological reproduction dynamics, namely by deleting and duplicating existing nodes and their edges. The…

Statistical Mechanics · Physics 2007-09-14 Henrik Jeldtot Jensen

We present a simple model for describing the dynamics of the interaction between a homogeneous population or society, and the natural resources and reserves that the society needs for its survival. The model is formulated in terms of…

Physics and Society · Physics 2020-04-22 Basil Grammaticos , Ralph Willox , Junkichi Satsuma

We present a systematic study of corrections to scaling in the self-organized critical forest-fire model. The analysis of the steady-state condition for the density of trees allows us to pinpoint the presence of these corrections, which…

Statistical Mechanics · Physics 2009-10-31 Romualdo Pastor-Satorras , Alessandro Vespignani

Changes in the frequency, duration, and severity of climate extremes are forecast to occur under global climate change. The impacts of climate extremes on forest productivity and health are complicated by potential interactions with…

A hierarchical structure describing the inter-relationships of species has long been a fundamental concept in systematic biology, from Linnean classification through to the more recent quest for a 'Tree of Life.' In this paper we use an…

Populations and Evolution · Quantitative Biology 2009-08-21 Andreas Dress , Vincent Moulton , Mike Steel , Taoyang Wu

In this article we consider a class of state-dependent delay differential equations which is modelling the dynamics of the number of adult trees in forests. We prove the boundedness of solutions for a single species model as well as a…

Analysis of PDEs · Mathematics 2017-05-25 Pierre Magal , Zhengyang Zhang

Forest transitions, characterized by dynamic shifts between forest, agricultural, and abandoned lands, are complex phenomena. This study developed a stochastic differential equation model to capture the intricate dynamics of these…

Machine Learning · Statistics 2025-07-30 Satoshi Kumabe , Tianyu Song , Ton Viet Ta

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

In tropical regions, fires propagate readily in grasslands but typically consume only edges of forest patches. Thus forest patches grow due to tree propagation and shrink by fires in surrounding grasslands. The interplay between these…

Populations and Evolution · Quantitative Biology 2018-02-15 Laurent Hébert-Dufresne , Adam F. A. Pellegrini , Uttam Bhat , Sidney Redner , Stephen W. Pacala , Andrew M. Berdahl

Understanding the future climate is crucial for informed policy decisions on climate change prevention and mitigation. Earth system models play an important role in predicting future climate, requiring accurate representation of complex…

Machine Learning · Computer Science 2024-01-09 Christian Reimers , David Hafezi Rachti , Guahua Liu , Alexander J. Winkler
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