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What is a population? This review considers how a population may be defined in terms of understanding the structure of the underlying genetics of the individuals involved. The main approach is to consider statistically identifiable groups…

Populations and Evolution · Quantitative Biology 2013-06-05 Daniel John Lawson

We consider a family of models describing the evolution under selection of a population whose dynamics can be related to the propagation of noisy traveling waves. For one particular model, that we shall call the exponential model, the…

Disordered Systems and Neural Networks · Physics 2009-11-13 E. Brunet , B. Derrida , A. H. Mueller , S. Munier

Studying how diverse human populations are related is of historical and anthropological interest, in addition to providing a realistic null model for testing for signatures of natural selection or disease associations. Furthermore,…

Populations and Evolution · Quantitative Biology 2018-07-10 Jeffrey P. Spence , Matthias Steinrücken , Jonathan Terhorst , Yun S. Song

We consider a simple theoretical model to investigate the impact of inheritances on the wealth distribution. Wealth is described as a finite resource, which remains constant over different generations and is divided equally among offspring.…

Physics and Society · Physics 2021-11-17 Pedro Patrício , Nuno A. M. Araújo

The distributed genome hypothesis states that the set of genes in a population of bacteria is distributed over all individuals that belong to the specific taxon. It implies that certain genes can be gained and lost from generation to…

Probability · Mathematics 2010-11-08 F. Baumdicker , W. R. Hess , P. Pfaffelhuber

We introduce a population-age-time (PAT) model which describes the temporal evolution of the population distribution in age. The surprising result is that the qualitative nature of the population distribution dynamics is robust with respect…

Populations and Evolution · Quantitative Biology 2021-11-30 Z. C. Feng , Y. Charles Li

Understanding how knowledge is created and propagates within groups is crucial to explain how human populations have evolved through time. Anthropologists have relied on different theoretical models to address this question. In this work,…

Dynamical Systems · Mathematics 2019-11-14 Sylvain Billiard , Maxime Derex , Ludovic Maisonneuve , Thomas Rey

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

We introduce a population dynamics model, where individual genomes are represented by bit-strings. Selection is described by death probabilities which depend on these genomes, and new individuals continuously replace the ones that die,…

Statistical Mechanics · Physics 2009-11-10 P. M. C. de Oliveira , J. S. Sa' Martins , D. Stauffer , S. Moss de Oliveira

The number of extant individuals within a lineage, as exemplified by counts of species numbers across genera in a higher taxonomic category, is known to be a highly skewed distribution. Because the sublineages (such as genera in a clade)…

Applications · Statistics 2009-01-09 Panagis Moschopoulos , Max Shpak

Gender information is no longer a mandatory input when registering for an account at many leading Internet companies. However, prediction of demographic information such as gender and age remains an important task, especially in…

Machine Learning · Computer Science 2021-02-09 Yifan Hu , Changwei Hu , Thanh Tran , Tejaswi Kasturi , Elizabeth Joseph , Matt Gillingham

Recent improvements in high-throughput genotyping and sequencing technologies have afforded the collection of massive, genome-wide datasets of DNA information from hundreds of thousands of individuals. These datasets, in turn, provide…

Populations and Evolution · Quantitative Biology 2014-12-19 Pier Francesco Palamara

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

Multilingual generative language models (LMs) are increasingly fluent in a large variety of languages. Trained on the concatenation of corpora in multiple languages, they enable powerful transfer from high-resource languages to low-resource…

Computation and Language · Computer Science 2023-02-27 Asım Ersoy , Gerson Vizcarra , Tasmiah Tahsin Mayeesha , Benjamin Muller

Background: A wide range of diseases show some degree of clustering in families; family history is therefore an important aspect for clinicians when making risk predictions. Familial aggregation is often quantified in terms of a familial…

Applications · Statistics 2018-01-31 Morten Valberg , Mats Julius Stensrud , Odd O. Aalen

Driven by the popularity of television shows such as Who Do You Think You Are? many millions of users have uploaded their family tree to web projects such as WikiTree. Analysis of this corpus enables us to investigate genealogy…

Social and Information Networks · Computer Science 2014-09-02 Michael Fire , Thomas Chesney , Yuval Elovici

Goods, styles, ideologies are adopted by society through various mechanisms. In particular, adoption driven by innovation is extensively studied by marketing economics. Mathematical models are currently used to forecast the sales of…

Physics and Society · Physics 2014-04-02 Baptiste Coulmont , Virginie Supervie , Romulus Breban

We linked names and contact information to publicly available profiles in the Personal Genome Project. These profiles contain medical and genomic information, including details about medications, procedures and diseases, and demographic…

Computers and Society · Computer Science 2013-04-30 Latanya Sweeney , Akua Abu , Julia Winn

We propose a mathematical model to measure how multiple repetitions may influence in the ultimate proportion of the population never hearing a rumor during a given outbreak. The model is a multi-dimensional continuous-time Markov chain that…

Probability · Mathematics 2021-05-11 Alejandra Rada , Cristian F. Coletti , Elcio Lebensztayn , Pablo M. Rodriguez

We examine genetic statistics used in the study of structured populations. In a 1999 paper, Wakeley observed that the coalescent process associated with the finite island model can be decomposed into a scattering phase and a collecting…

Populations and Evolution · Quantitative Biology 2008-11-11 Sivan Leviyang