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Many species live in colonies that prosper for a while and then collapse. After the collapse the colony survivors disperse randomly and found new colonies that may or may not make it depending on the new environment they find. We use birth…

Probability · Mathematics 2015-06-23 Rinaldo B. Schinazi

For over hundreds of millions of years, sea turtles and their ancestors have swum in the vast expanses of the ocean. They have undergone a number of evolutionary changes, leading to speciation and sub-speciation. However, in the past few…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Aditya Jyoti Paul

The probability of the survival of the population of individuals of both sexes of given mature age, procreation rate and structure stability has been searched in the numerical experiment. The populations with long period of reproduction and…

Condensed Matter · Physics 2007-05-23 Kazimierz Pater

Researchers puzzle over questions as to how rare species survive extinction, and why a significant proportion of microbial taxa are dormant. Computational simulation modeling by a genetic algorithm provides some answers. First, a…

Populations and Evolution · Quantitative Biology 2025-07-01 Sasanka Sekhar Chanda

Many species live in colonies that thrive for a while and then collapse. Upon collapse very few individuals survive. The survivors start new colonies at other sites that thrive until they collapse, and so on. We introduce spatial and…

Probability · Mathematics 2019-03-05 Fábio Prates Machado , Alejandro Roldán-Correa , Rinaldo B. Schinazi

Let $N$ be a natural number. We consider a population which lives on $I_N=\{-N,-N+1,\dots,N-1,N\}$. Each individual gives birth at rate $\lambda$ on each of its neighboring sites and dies at rate 1. No births are allowed from the inside of…

Probability · Mathematics 2026-02-10 Rinaldo B. Schinazi

As avid anglers we were always interested in the survival chances of fish in turbulent oceans. This paper addresses this question mathematically. We show that a fish with bounded aquatic locomotion speed can reach any point in the ocean if…

Optimization and Control · Mathematics 2016-06-07 Dmitri Burago , Sergei Ivanov , Alexei Novikov

Coexistence of competing species is, due to unavoidable fluctuations, always transient. In this Letter, we investigate the ultimate survival probabilities characterizing different species in cyclic competition. We show that they often obey…

Populations and Evolution · Quantitative Biology 2009-01-30 Maximilian Berr , Tobias Reichenbach , Martin Schottenloher , Erwin Frey

We consider a particular Branching Random Walk in Random Environment (BRWRE) on $\sN_0$ started with one particle at the origin. Particles reproduce according to an offspring distribution (which depends on the location) and move either one…

Probability · Mathematics 2009-12-01 Christian Bartsch , Nina Gantert , Michael Kochler

Using a lattice model based on Monte Carlo simulations, we study the role of the reproduction pattern on the fate of an evolving population. Each individual is under the selection pressure from the environment and random mutations. The…

Statistical Mechanics · Physics 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

We consider a stochastic model for an evolving population. We show that in the presence of genotype extinctions the population dies out for a low mutation probability but may survive for a high mutation probability. This turns upside down…

Populations and Evolution · Quantitative Biology 2014-10-24 Rinaldo B. Schinazi

Despite decades of conservation efforts on the nesting beaches, the critical status of leatherback turtles shows that their survival predominantly depends on our ability to reduce at-sea mortality. Although areas where leatherbacks meet…

Populations and Evolution · Quantitative Biology 2016-08-14 J. Y. Georges , A. Billes , S. Ferraroli , S. Fossette , J. Fretey , D. Grémillet , Y. Le Maho , A. E. Myers , H. Tanaka , G. C. Hays

Star-shaped branching patterns of genealogies are common in marine species. High-fecundity marine populations are characterized by low ratios of effective to actual population size, which reflect high variance in reproductive success among…

Populations and Evolution · Quantitative Biology 2022-02-18 Hiro-Sato Niwa

Fermi's Paradox is the contradiction between the fact that it would seem to be highly probable that there are other technologically advanced species beyond the Earth, and the fact that there is no generally accepted evidence for their…

Popular Physics · Physics 2018-12-19 Kent A. Peacock

We derive catastrophic senescence of the Pacific salmon from an aging model which was recently proposed by Stauffer. The model is based on the postulates of a minimum reproduction age and a maximal genetic lifespan. It allows for…

Condensed Matter · Physics 2009-11-07 Hildegard Meyer-Ortmanns

This paper addresses the theoretical conditions necessary for some subject of study to survive forever. A probabilistic analysis leads to some prerequisite conditions for preserving, say, electronic data indefinitely into the future. The…

Populations and Evolution · Quantitative Biology 2008-12-04 David A. Eubanks

Competition between biological species in marine environments is affected by the motion of the surrounding fluid. An effective 2D compressibility can arise, for example, from the convergence and divergence of water masses at the depth at…

Populations and Evolution · Quantitative Biology 2019-01-24 Abigail Plummer , Roberto Benzi , David R. Nelson , Federico Toschi

We study the probabilities of evolution based on random mutations and natural selection. We conclude that evolution to multicellular eukaryots, or even prokaryots, is unlikely to be the result of only random mutations. Complex organisms…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Hoeneisen , G. Trueba

The dispersal stages of organisms with sessile adults must be able to select habitats with suitable conditions for establishment and survival, and must also be able to reach those locations. For marine planktonic larvae, movement due to…

Populations and Evolution · Quantitative Biology 2013-07-02 Thomas P. Adams , Dmitry Aleynik , Michael Burrows

The dynamics leading to extinction or coexistence of competing species is of great interest in ecology and related fields. Recently a model of intra- and interspecific competition between two species was proposed by Gabel et al. [Phys. Rev.…

Populations and Evolution · Quantitative Biology 2015-06-15 Renato Vieira dos Santos , Ronald Dickman
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