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We review recent work aimed at modeling species extinction over geological time. We discuss a number of models which, rather than dealing with the direct causes of particular extinction events, attempt to predict overall statistical trends,…

adap-org · Physics 2015-06-30 M. E. J. Newman , R. G. Palmer

The relationships which characterise the outcomes of the interactions between firms in the economy appear to follow power law behaviour. In particular, there is evidence that the empirical power laws which relate the size of an extinction…

Condensed Matter · Physics 2007-05-23 P Ormerod , H Johns

The architecture of bipartite networks linking two classes of constituents is affected by the interactions within each class. For the bipartite networks representing the mutualistic relationship between pollinating animals and plants, it…

Populations and Evolution · Quantitative Biology 2012-03-13 Seong Eun Maeng , Jae Woo Lee , Deok-Sun Lee

An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Venkat Venkatasubramanian , Santhoji Katare , Priyan R. Patkar , Fangping Mu

Disasters impact communities through interconnected social, spatial, and physical networks. Analyzing network dynamics is crucial for understanding resilience and recovery. We highlight six studies demonstrating how hazards and recovery…

Social and Information Networks · Computer Science 2025-02-27 Chia-Fu Liu , Ali Mostafavi

Ecological systems show a variety of characteristic patterns of biodiversity in space and time. It is a challenge for theory to find models that can reproduce and explain the observed patterns. Since the advent of island biogeography these…

Populations and Evolution · Quantitative Biology 2019-10-21 Michaela Hamm , Barbara Drossel

In natural ecosystems, species can be characterized by the nonlinear density-dependent self-regulation of their growth profile. Species of many taxa show a substantial density-dependent reduction for low population size. Nevertheless, many…

Populations and Evolution · Quantitative Biology 2025-06-26 Amit Samadder , Arnab Chattopadhyay , Anurag Sau , Sabyasachi Bhattacharya

Species interactions (ranging from direct predator prey relationships to indirect effects mediated by the environment) are central to ecosystem balance and biodiversity. While empirical methods for measuring these interactions exist, their…

Populations and Evolution · Quantitative Biology 2025-08-27 Javier Aguilar , Samir Suweis , Amos Maritan , Sandro Azaele

We view Digital Ecosystems to be the digital counterparts of biological ecosystems, which are considered to be robust, self-organising and scalable architectures that can automatically solve complex, dynamic problems. So, this work is…

Multiagent Systems · Computer Science 2009-10-06 Gerard Briscoe

Systems of dynamical interactions between competing species can be used to model many complex systems, and can be mathematically described by {\em random} networks. Understanding how patterns of activity arise in such systems is important…

Adaptation and Self-Organizing Systems · Physics 2016-01-21 Nick McCullen , Thomas Wagenknecht

Cyclic dominance between species may yield spiral waves that are known to provide a mechanism enabling persistent species coexistence. This observation holds true even in presence of spatial heterogeneity in the form of quenched disorder.…

Populations and Evolution · Quantitative Biology 2020-02-05 Ryan Baker , Michel Pleimling

We study a version of the Tangled Nature model of evolutionary ecology redefined in a phenotype space where mutants have properties correlated to their parents. The model has individual-based dynamics whilst incorporating species scale…

Populations and Evolution · Quantitative Biology 2016-09-08 Simon Laird , Henrik Jeldtoft Jensen

Interactions in natural communities can be highly heterogeneous, with any given species interacting appreciably with only some of the others, a situation commonly represented by sparse interaction networks. We study the consequences of…

Populations and Evolution · Quantitative Biology 2022-10-12 Stav Marcus , Ari M. Turner , Guy Bunin

An ecological network is a formal representation of a specific type of interaction in a corresponding ecosystem. Such networks have traditionally been modelled as encoding exclusively pairwise interactions among the fundamental units of…

Algebraic Topology · Mathematics 2022-03-28 Udit Raj , Shashankaditya Upadhyay , Moumita Karmakar , Sudeepto Bhattacharya

Current theories about mechanisms promoting species co-existence in diverse communities assume that species only interact ecologically. Species are treated as discrete evolutionary entities, even though abundant empirical evidence indicates…

Populations and Evolution · Quantitative Biology 2013-11-13 Charles Cannon , Manuel Lerdau

Species extinction is a core process that affects the diversity of life on Earth. Competition between species in a population is considered by ecological niche-based theories as a key factor leading to different severity of species…

Populations and Evolution · Quantitative Biology 2020-07-28 Ivan Sudakov , Sergey A. Vakulenko , John T. Bruun

Complex networks often have a modular structure, where a number of tightly- connected groups of nodes (modules) have relatively few interconnections. Modularity had been shown to have an important effect on the evolution and stability of…

Physics and Society · Physics 2014-04-21 Saray Shai , Dror Y. Kenett , Yoed N. Kenett , Miriam Faust , Simon Dobson , Shlomo Havlin

Effects of changes in functional composition of soil communities on nutrient cycling are still not well understood. Models simulating community dynamics overcome the technical challenges of conducting species removal experiments in the…

Populations and Evolution · Quantitative Biology 2019-02-13 Idaline Laigle , Isabelle Aubin , Dominique Gravel

Identifying undocumented or potential future interactions among species is a challenge facing modern ecologists. Recent link prediction methods rely on trait data, however large species interaction databases are typically sparse and…

Applications · Statistics 2019-09-23 Mohamad Elmasri , Maxwell J. Farrell , T. Jonathan Davies , David A. Stephens

There are many scales at which to quantify stability in spatial and ecological networks. Local-scale analyses focus on specific nodes of the spatial network, while regional-scale analyses consider the whole network. Similarly, species- and…

Populations and Evolution · Quantitative Biology 2022-10-19 Javier Jarillo , Francisco J. Cao-García , Frederik De Laender
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