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We present a stochastic model for the size of a taxon in paleobiology, in which we allow for the evolution of new taxon members, and both individual and catastrophic extinction events. The model uses ideas from the theory of birth and death…

Biological Physics · Physics 2007-05-23 Barry D. Hughes , William J. Reed

Wikipedia, a paradigmatic example of online knowledge space is organized in a collaborative, bottom-up way with voluntary contributions, yet it maintains a level of reliability comparable to that of traditional encyclopedias. The lack of…

Physics and Society · Physics 2021-05-24 Fumiko Ogushi , János Kertész , Kimmo Kaski , Takashi Shimada

Ecological networks allow us to study the structure and function of ecosystems and gain insights on species resilience/stability. The study of this ecological networks is usually a snapshop focused in a limited specific range of space and…

Populations and Evolution · Quantitative Biology 2014-07-17 Andrzej Jarynowski , Fco. Alejandro Lopez-Nunez , Han Fan

The structure of ecological networks, in particular food webs, determines their ability to evolve further, i.e. evolvability. The knowledge about how food web evolvability is determined by the structures of diverse ecological networks can…

Populations and Evolution · Quantitative Biology 2015-07-13 Jianxi Luo

Ecosystems, which are intricate amalgams of biological communities and their surrounding environments, continually evolve under the influence of their myriad interactions. The world is currently facing intensifying environmental…

Biological Physics · Physics 2023-11-23 Ikumi Kobayashi

The fast-slow dynamics of an eco-evolutionary system are studied, where we consider the feedback actions of environmental resources that are classified into those that are self-renewing and those externally supplied. We show although these…

Systems and Control · Electrical Eng. & Systems 2022-06-01 Lulu Gong , Ming Cao

The magnitude and variability of Earth's biodiversity have puzzled scientists ever since paleontologic fossil databases became available. We identify and study a model of interdependent species where both endogenous and exogenous impacts…

Populations and Evolution · Quantitative Biology 2014-10-10 Frank Stollmeier , Theo Geisel , Jan Nagler

Living systems self-organize in ways that conventional physical frameworks-based on forces, energies, and continuous fields-cannot fully capture. Processes like gene regulation and cellular decision-making involve rule-based logic and…

Other Quantitative Biology · Quantitative Biology 2025-11-18 Hyun Youk

It is usually believed that Darwin's theory leads to a smooth gradual evolution, so that mass extinctions must be caused by external shocks. However, it has recently been argued that mass extinctions arise from the intrinsic dynamics of…

Condensed Matter · Physics 2015-06-25 Per Bak , Maya Paczuski

We study the statistics of ecosystems with a variable number of co-evolving species. The species interact in two ways: by prey-predator relationships and by direct competition with similar kinds. The interaction coefficients change slowly…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Michael Lassig , Ugo Bastolla , Susanna C. Manrubia , Angelo Valleriani

We develop a novel approach to study the global behaviour of large foodwebs for ecosystems where several species share multiple resources. The model extends and generalize some previous works and takes into account self-limitation. Under…

Dynamical Systems · Mathematics 2019-03-12 Vladimir Kozlov , Vladimir G. Tkachev , Sergey Vakulenko , Uno Wennergren

We model evolution of plants in a world, made up of different locations, with multiple environments (mutually exclusive and collectively exhaustive subsets of locations). Each environment (landmass) has temperature, rainfall, and other…

Populations and Evolution · Quantitative Biology 2019-05-27 Alexander , Khazatsky , Albert Yu , Zihao Zhao , Gabe Zuckerman

With the rise of computers, simulation models have emerged beside the more traditional statistical and mathematical models as a third pillar for ecological analysis. Broadly speaking, a simulation model is an algorithm, typically…

Populations and Evolution · Quantitative Biology 2018-12-24 Florian Hartig

For years, a main focus of ecological research has been to better understand the complex dynamical interactions between species which comprise food webs. Using the connectance properties of a widely explored synthetic food web called the…

Populations and Evolution · Quantitative Biology 2024-10-16 Sepideh Vafaie , Deepak Bal , Michael A. S. Thorne , Eric Forgoston

The improbability of a spontaneously generated self-assembling molecule has suggested that life began with a set of simpler, collectively replicating elements, such as an enclosed autocatalytic set of polymers (or protocell). Since…

Adaptation and Self-Organizing Systems · Physics 2013-08-26 Liane Gabora

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

Ecosystems are governed by dynamic processes such as competition for resources, reproduction and dispersal. These shape their biodiversity and how the system responds to change. Current approaches to modelling ecosystems, especially plants,…

Quantitative Methods · Quantitative Biology 2023-03-15 Claire L. Harris , Neil Brummitt , Christina A. Cobbold , Richard Reeve

We introduce an evolutionary metacommunity of multitrophic food webs on several habitats coupled by migration. In contrast to previous studies that focus either on evolutionary or on spatial aspects, we include both and investigate the…

Populations and Evolution · Quantitative Biology 2018-04-20 Korinna T. Allhoff , Eva Marie Weiel , Tobias Rogge , Barbara Drossel

The key idea of this model is that firms are the result of an evolutionary process. Based on demand and supply considerations the evolutionary model presented here derives explicitly Gibrat's law of proportionate effects as the result of…

General Finance · Quantitative Finance 2015-06-11 Joachim Kaldasch

Time evolution of number of species (genera, families, and others), population of them, and size distribution of present ones and life times are studied in terms of a new model, where population of each genetic taxon increases by a (random)…

Populations and Evolution · Quantitative Biology 2007-05-23 Caglar Tuncay
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