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Traditionally, population models distinguish individuals on the basis of their current state. Given a distribution, a discrete time model then specifies (precisely in deterministic models, probabilistically in stochastic models) the…

Populations and Evolution · Quantitative Biology 2023-09-21 B. Boldin , O. Diekmann , J. A. J. Metz

Various features of the development of individual living species, including individual humans, are programmed. Is death also programmed, and if yes, how is it implemented and what can be the underlying mechanism providing the inevitability…

Chaotic Dynamics · Physics 2019-05-23 Mark Edelman

Drosophila melanogaster, a small dipteran of African origin, represents one of the best-studied model organisms. Early work in this system has uniquely shed light on the basic principles of genetics and resulted in a versatile collection of…

Populations and Evolution · Quantitative Biology 2018-10-12 Annabelle Haudry , Stefan Laurent , Martin Kapun

We identify a new natural coalescent structure, which we call the seed-bank coalescent, that describes the gene genealogy of populations under the influence of a strong seed-bank effect, where "dormant forms" of individuals (such as seeds…

Probability · Mathematics 2016-08-10 Jochen Blath , Adrián González Casanova , Noemi Kurt , Maite Wilke-Berenguer

Humans, like all organisms, are subject to fundamental biophysical laws. Van Valen predicted that, because of zero-sum dynamics, all populations of all species in a given environment flux the same amount of energy on average. Damuth's…

Populations and Evolution · Quantitative Biology 2019-02-15 Joseph R. Burger , Vanessa P. Weinberger , Pablo A. Marquet

Two mathematical models of macroevolution are studied. These models have population dynamics at the species level, and mutations and extinction of species are also included. The population dynamics are updated by difference equations with…

Populations and Evolution · Quantitative Biology 2014-04-16 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

We consider population models in which the individuals reproduce, die and also migrate in space. The population size scales according to some parameter $N$, which can have different interpretations depending on the context. Each individual…

Probability · Mathematics 2012-12-21 Ankit Gupta

Contrary to common belief, both the Earth's human population and its economic output have grown faster than exponential, i.e., in a super-Malthusian mode, for most of the known history. These growth rates are compatible with a spontaneous…

Condensed Matter · Physics 2009-10-31 Anders Johansen , Didier Sornette

Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

Analysis of PDEs · Mathematics 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

This paper focuses on the maximum speed at which biological evolution can occur. I derive inequalities that limit the rate of evolutionary processes driven by natural selection, mutations, or genetic drift. These \emph{rate limits} link the…

Populations and Evolution · Quantitative Biology 2024-06-17 Luis Pedro García-Pintos

Extending and modifying his domain of life by artifact production is one of the main characteristics of humankind. From the first hominid, who used a wood stick or a stone for extending his upper limbs and augmenting his gesture strength,…

Human-Computer Interaction · Computer Science 2014-10-01 Didier Fass

The birth of new genes is an important motor of evolutionary innovation. Whereas many new genes arise by gene duplication, others originate at genomic regions that do not contain any gene or gene copy. Some of these newly expressed genes…

We investigate by means of a simple theoretical model the emergence of prime numbers as life cycles, as those seen for some species of cicadas. The cicadas, more precisely, the Magicicadas spend most of their lives below the ground and then…

Populations and Evolution · Quantitative Biology 2009-11-10 Pauoo R. A. Campos , Viviane M. de Oliveira , R. Giro , Douglas S. Galvao

Natural selection has produced an extraordinary diversity of life histories spanning many orders of magnitude in body size, vital rates, and biological times. In general, big and cold organisms grow and reproduce slowly and live long lives;…

Populations and Evolution · Quantitative Biology 2024-12-30 Joseph R. Burger

This paper uses a recent explanation for the fundamental haploid-diploid lifecycle of eukaryotic organisms to present a new memetic algorithm that differs from all previous known work using diploid representations. A form of the Baldwin…

Neural and Evolutionary Computing · Computer Science 2019-11-19 Michail-Antisthenis Tsompanas , Larry Bull , Andrew Adamatzky , Igor Balaz

The rapid development of sequencing technologies represents new opportunities for population genetics research. It is expected that genomic data will increase our ability to reconstruct the history of populations. While this increase in…

Populations and Evolution · Quantitative Biology 2014-12-04 Olivier Mazet , Willy Rodríguez , Lounès Chikhi

We present an evolutionary self-governing model based on the numerical atomic rule $Z(a,b)=ab/\gcd(a,b)^2$, for $a,b$ positive integers. Starting with a sequence of numbers, the initial generation $Gin$, a new sequence is obtained by…

Number Theory · Mathematics 2016-06-29 Cristian Cobeli , Mihai Prunescu , Alexandru Zaharescu

The question as to why most higher organisms reproduce sexually has remained open despite extensive research, and has been called "the queen of problems in evolutionary biology". Theories dating back to Weismann have suggested that the key…

Populations and Evolution · Quantitative Biology 2015-09-04 Andrew Lewis-Pye , Antonio Montalban

We present a statistical analysis of biological evolution processes. Specifically, we study the stochastic replication-mutation-death model where the population of a species may grow or shrink by birth or death, respectively, and…

Populations and Evolution · Quantitative Biology 2007-05-23 E. Ben-Naim , P. L. Krapivsky

Since Newton, all classical and quantum physics depends upon the "Newtonian Paradigm". Here the relevant variables of the system are identified. The boundary conditions creating the phase space of all possible values of the variables are…

Physics and Society · Physics 2022-07-13 Stuart A. Kauffman , Andrea Roli