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Statistical systems are conceived from the standpoint of statistical mechanics, as made of a (generally large) number of identical units and exhibiting a (generally large) number of different configurations (microstates), among which only…

General Physics · Physics 2017-06-21 R. Caimmi

In exponential population growth, variability in the timing of individual division events and environmental factors (including stochastic inoculation) compound to produce variable growth trajectories. In several stochastic models of…

Populations and Evolution · Quantitative Biology 2023-12-25 Eric W. Jones , Joshua Derrick , Roger M. Nisbet , Will Ludington , David A. Sivak

In the companion paper of this set (Capitan and Cuesta, 2010) we have developed a full analytical treatment of the model of species assembly introduced in Capitan et al. (2009). This model is based on the construction of an assembly graph…

Populations and Evolution · Quantitative Biology 2015-02-18 Jose A. Capitan , Jose A. Cuesta , Jordi Bascompte

Fossil systems are defined to be X-ray bright galaxy groups with a 2-magnitude difference between their two brightest galaxies within half the projected virial radius,and represent an interesting extreme of the population of galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Eugenia Diaz-Gimenez , Ariel Zandivarez , Robert Proctor , Claudia Mendes de Oliveira , L. Raul Abramo , .

In phylogenetic studies, biologists often wish to estimate the ancestral discrete character state at an interior vertex $v$ of an evolutionary tree $T$ from the states that are observed at the leaves of the tree. A simple and fast…

Populations and Evolution · Quantitative Biology 2018-05-03 Lina Herbst , Thomas Li , Mike Steel

Concerns about biodiversity and the long-term stability of forest ecosystems have lead to changing attitudes with respect to plantations. These artificial communities are ubiquitous, yet provide reduced habitat value in comparison to their…

Populations and Evolution · Quantitative Biology 2009-10-05 Tom Adams , Graeme Ackland , Glenn Marion , Colin Edwards

Urban agglomerations exhibit complex emergent features of which Zipf's law, i.e.\ a power-law size distribution, and fractality may be regarded as the most prominent ones. We propose a simplistic model for the generation of city-like…

Physics and Society · Physics 2014-09-15 Diego Rybski , Anselmo Garcia Cantu Ros , Jürgen P. Kropp

Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose several discrete-time population models to investigate the…

Dynamical Systems · Mathematics 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

We study a spatially explicit harvesting model in periodic or bounded environments. The model is governed by a parabolic equation with a spatially dependent nonlinearity of Kolmogorov--Petrovsky--Piskunov type, and a negative external…

Analysis of PDEs · Mathematics 2010-06-15 Lionel Roques , Mickaël D. Chekroun

The expansion of a population into new habitat is a transient process that leaves its footprints in the genetic composition of the expanding population. How the structure of the environment shapes the population front and the evolutionary…

Populations and Evolution · Quantitative Biology 2018-11-26 Daniel A. Beller , Kim M. J. Alards , Francesca Tesser , Ricardo A. Mosna , Federico Toschi , Wolfram Möbius

This work is devoted to studying the dynamics of a structured population that is subject to the combined effects of environmental stochasticity, competition for resources, spatio-temporal heterogeneity and dispersal. The population is…

Probability · Mathematics 2018-01-24 Alexandru Hening , Dang H. Nguyen , George Yin

Close analysis of the published interpretation of the number of rock-shelter sites in Australia provides further evidence that there was no intensification in the growth of human population between 1000 and 10,000 years BP. An alternative…

Populations and Evolution · Quantitative Biology 2013-10-22 Ron W Nielsen aka Jan Nurzynski

Evolutionary adaptation is the process that increases the fit of a population to the fitness landscape it inhabits. As a consequence, evolutionary dynamics is shaped, constrained, and channeled, by that fitness landscape. Much work has been…

Populations and Evolution · Quantitative Biology 2010-12-17 Bjørn Østman , Arend Hintze , Christoph Adami

Recent advances have allowed for both morphological fossil evidence and molecular sequences to be integrated into a single combined inference of divergence dates under the rule of Bayesian probability. In particular the fossilized…

Populations and Evolution · Quantitative Biology 2016-05-04 Alexei J. Drummond , Tanja Stadler

Satellite imaging of night light provides a global record of lighted development from 1992 to present. Not all settlements can be detected with night light, but the continuum of built environments where a rapidly growing majority of the…

Physics and Society · Physics 2020-05-26 C. Small

Background: The accumulation of deleterious mutations of a population directly contributes to the fate as to how long the population would exist. Muller's ratchet provides a quantitative framework to study the effect of accumulation.…

Populations and Evolution · Quantitative Biology 2011-09-22 Shuyun Jiao , Yanbo Wang , Bo Yuan , Ping Ao

In this manuscript we investigate the long-term behavior of a single-species fishery, which is harvested by several fleets. The time evolution of this population is modeled by a discrete time stochastic age-structured model. We assume that…

Populations and Evolution · Quantitative Biology 2018-11-20 V. Riquelme , T. J. Quinn , H. Ramírez C

A good understanding of cities is crucial to implement urban planning policies leading to social and economic sustainability and an efficient use of resources. While urban concentration has been associated with both positive and negative…

Physics and Society · Physics 2025-09-09 Gaëtan Laziou , Rémi Lemoy

Predictive modeling in archaeology is essential for the understanding of people's behavior in the past and for guiding heritage conservation. However, spatial sampling bias caused by uneven research effort can severely limit model…

Applications · Statistics 2025-08-05 Mehmet Sıddık Çadırcı , Golnaz Shahtahmassebi

Many models of population dynamics are formulated as deterministic iterated maps although real populations are stochastic. This is justifiable in the limit of large population sizes, as the stochastic fluctuations are negligible then.…

Populations and Evolution · Quantitative Biology 2025-09-16 Snehal M. Shekatkar