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Classical ecological theory predicts that environmental stochasticity increases extinction risk by reducing the average per-capita growth rate of populations. To understand the interactive effects of environmental stochasticity, spatial…

Probability · Mathematics 2015-12-16 Steven N. Evans , Peter L. Ralph , Sebastian J. Schreiber , Arnab Sen

Forest-fire and avalanche models support the notion that frequent catastrophes prevent the growth of very large populations and as such prevent rare large-scale catastrophes. We show that this notion is not universal. A new model class…

Populations and Evolution · Quantitative Biology 2018-08-08 N. Dori , H. Behar , H. Brot , Y. Louzoun

Comprehensive models of stochastic, clonally reproducing populations are defined in terms of general branching processes, allowing birth during maternal life, as for higher organisms, or by splitting, as in cell division. The populations…

Populations and Evolution · Quantitative Biology 2014-10-14 Kais Hamza , Peter Jagers , Fima C. Klebaner

Despite the general acknowledgment of the role of niche and fitness differences in community dynamics, species abundance has been coined as a relevant feature not just regarding niche perspectives, but also according to neutral…

Populations and Evolution · Quantitative Biology 2013-11-08 Rafael D Guariento

Many studies have analyzed how variability in reproductive success affects fitness. However, each study tends to focus on a particular problem, leaving unclear the overall structure of variability in populations. This fractured conceptual…

Populations and Evolution · Quantitative Biology 2011-11-08 Steven A. Frank

Despite its historical and biological stability, the sex ratio at birth (SRB) has risen in parts of the world in the last several decades. The resultant demographic consequences, mostly on sex imbalance, are well documented, typically…

Populations and Evolution · Quantitative Biology 2020-07-13 Zhen Zhang , Qiang Li

We study an ecology-inspired model for a population of bounded size, whose dynamics is governed by random birth, death, and immigration events. Stochastic fluctuations in the number of individuals give rise to a succession of alternating…

Populations and Evolution · Quantitative Biology 2026-05-27 Lucas M. Brugevin , Damián H. Zanette

Bacterial populations in natural conditions are expected to experience stochastic environmental fluctuations, and in addition, environments are affected by bacterial activities since they consume substrates and excrete various chemicals. We…

Populations and Evolution · Quantitative Biology 2020-04-01 Yusuke Himeoka , Namiko Mitarai

We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

Populations and Evolution · Quantitative Biology 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia

We characterize the outcomes of a canonical deterministic model for the intergenerational transmission of capital that features differential fertility. A fertility function determines the relationship between parental capital and the number…

Theoretical Economics · Economics 2026-05-28 Francis Dennig , Bassel Tarbush

An empirical relation indicates that an increase of living standard decreases the Total Fertility Rate (TFR), but this trend was broken in highly developed countries in 2005. The reversal of the TFR was associated with the continuous…

Physics and Society · Physics 2017-11-15 Jozef Černák

Demographic stochasticity is important in determining extinction risks of small populations, but it is largely unknown how its effect depends on the life histories of species. We modeled effects of demographic stochasticity on extinction…

Populations and Evolution · Quantitative Biology 2013-03-19 Tobias Jeppsson , Pär Forslund

Population genetics struggles to model extinction; standard models track the relative rather than absolute fitness of genotypes, while the exceptions describe only the short-term transition from imminent doom to evolutionary rescue. But…

Populations and Evolution · Quantitative Biology 2017-02-20 Jason Bertram , Kevin Gomez , Joanna Masel

Neutral dynamics, where taxa are assumed to be demographically equivalent and their abundance is governed solely by the stochasticity of the underlying birth-death process, has proved itself as an important minimal model that accounts for…

Populations and Evolution · Quantitative Biology 2015-09-09 David Kessler , Samir Suweis , Marco Formentin , Nadav M. Shnerb

Infinitely many distinct trait values may arise in populations bearing quantitative traits, and modeling their population dynamics is thus a formidable task. While classical models assume fixed or infinite population size, models in which…

Populations and Evolution · Quantitative Biology 2025-05-08 Ananda Shikhara Bhat

Growth in the global human population this century will have momentous consequences for societies and the environment. Population growth has come with higher aggregate human welfare, but also climate change and biodiversity loss. Based on…

General Economics · Economics 2021-09-30 Barry W. Brook , Jessie C. Buettel , Sanghyun Hong

Recreational fishing is a highly socio-ecological process. Although recreational fisheries are self-regulating and resilient, changing anthropogenic pressure drives these fisheries to overharvest and collapse. Here, we evaluate the effect…

Populations and Evolution · Quantitative Biology 2021-02-17 Sukanta Sarkar , Arzoo Narang , Sudipta Kumar Sinha , Partha Sharathi Dutta

Theoretical ecologists have long sought to understand how the persistence of populations depends on biotic and abiotic factors. Classical work showed that demographic stochasticity causes the mean time to extinction to increase…

Populations and Evolution · Quantitative Biology 2014-08-06 Otso Ovaskainen , Baruch Meerson

The abrupt decline in the Total Fertility Rate (TFR) of Puerto Rico since 2000 makes the prospect of a sustained population decline a real possibility. From 2000 to 2021 the TFR declined from 2.1 to 0.9 children per woman, one of the lowest…

Applications · Statistics 2023-08-29 Angélica Rosario Santos , Luis Pericchi Guerra , Hernando Mattei

Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be of main importance in antibiotics resistance. We consider a…

Probability · Mathematics 2019-12-18 Nicolas Champagnat , Sylvie Méléard , Viet Chi Tran