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The standard methods to calculate the Total Fertility Rate require the reliable age-specific fertility rate including birth data and the related age-specific women's population data. Historically, the number of births was often not counted…

Populations and Evolution · Quantitative Biology 2020-04-21 Weidong Huang

Human history leaves fingerprints in human languages. Little is known over language evolution and its study is of great importance. Here, we construct a simple stochastic model and compare its results to statistical data of real languages.…

Physics and Society · Physics 2015-05-13 V. Schwämmle , P. M. C. de Oliveira

To learn about the past from a sample of genomic sequences, one needs to understand how evolutionary processes shape genetic diversity. Most population genetic inference is based on frameworks assuming adaptive evolution is rare. But if…

Populations and Evolution · Quantitative Biology 2014-03-25 Richard A. Neher

Spatiotemporal patterns of population changes within and across countries have various implications. Different geographical, demographic and econo-societal factors seem to contribute to migratory decisions made by individual inhabitants.…

Physics and Society · Physics 2018-03-22 Kohei Tamura , Naoki Masuda

We consider the evolution of a population of fixed size with no selection. The number of generations $G$ to reach the first common ancestor evolves in time. This evolution can be described by a simple Markov process which allows one to…

Statistical Mechanics · Physics 2009-09-29 Damien Simon , Bernard Derrida

If one goes backward in time, the number of ancestors of an individual doubles at each generation. This exponential growth very quickly exceeds the population size, when this size is finite. As a consequence, the ancestors of a given…

Biological Physics · Physics 2007-05-23 B. Derrida , S. C. Manrubia , D. H. Zanette

Random graphs, where the connections between nodes are considered random variables, have wide applicability in the social sciences. Exponential-family Random Graph Models (ERGM) have shown themselves to be a useful class of models for…

Methodology · Statistics 2012-08-02 Ian Fellows , Mark S. Handcock

Large whole-genome sequencing projects have provided access to much of the rare variation in human populations, which is highly informative about population structure and recent demography. Here, we show how the age of rare variants can be…

Populations and Evolution · Quantitative Biology 2014-06-09 Iain Mathieson , Gil McVean

DNA databases are widely used in forensic science to identify unknown offenders. When no exact match is found, familial DNA searches can help by identifying first-degree relatives using likelihood ratios. If multiple subpopulations are…

Applications · Statistics 2025-12-08 Monchai Kooakachai , Tiwakorn Chapalee , Chairat Thitiyan , Patsaya Jumnongwut

In this article, we review existing probabilistic models for modeling abundance of fixed-length strings (k-mers) in DNA sequencing data. These models capture dependence of the abundance on various phenomena, such as the size and repeat…

Quantitative Methods · Quantitative Biology 2022-01-03 Askar Gafurov , Tomáš Vinař , Broňa Brejová

The regularized random forest (RRF) was recently proposed for feature selection by building only one ensemble. In RRF the features are evaluated on a part of the training data at each tree node. We derive an upper bound for the number of…

Machine Learning · Computer Science 2013-06-21 Houtao Deng , George Runger

A simplified model for the growth of a population is studied in which random effects arise because reproducing individuals have a certain probability of surviving until the next breeding season and hence contributing to the next generation.…

Populations and Evolution · Quantitative Biology 2016-04-05 Henry C. Tuckwell

Statistical inference about the speciation process has often been based on the isolation-with-migration (IM) model, especially when the research aim is to learn about the presence or absence of gene flow during divergence. The generalised…

Populations and Evolution · Quantitative Biology 2016-02-05 Rui J. Costa , Hilde Wilkinson-Herbots

We use population synthesis to construct distributions of gamma-ray bursts (GRBs) for different proposed progenitor models. We use a description of star formation that takes into account the evolution of metallicity with redshift and galaxy…

Astrophysics · Physics 2007-05-23 Patrick A. Young , Chris L. Fryer

From the mid-2000s to the 2010s, K-pop moved beyond its status as a regionally popular genre in Asia and established itself as a global music genre with enthusiastic fans around the world. However, little is known about how the vast number…

Social and Information Networks · Computer Science 2025-09-09 Ryota Nakamura , Keita Nishimoto , Ichiro Sakata , Kimitaka Asatani

Research done using model organisms has been fundamental to the biological understanding of human genes, diseases and phenotypes. Model organisms provide tractable systems for experiments to enhance understanding of biological mechanisms…

Kingman's coalescent is a random tree that arises from classical population genetic models such as the Moran model. The individuals alive in these models correspond to the leaves in the tree and the following two laws of large numbers…

Probability · Mathematics 2014-06-24 Andrej Depperschmidt , Peter Pfaffelhuber , Annika Scheuringer

Cultural transmission of reproductive success states that successful men have more children and pass this raised fecundity to their offspring. Balaresque and colleagues found high frequency haplotypes in a Central Asian Y chromosome…

Populations and Evolution · Quantitative Biology 2015-09-18 Elsa G. Guillot , Murray P. Cox

The method of "random Fourier features (RFF)" has become a popular tool for approximating the "radial basis function (RBF)" kernel. The variance of RFF is actually large. Interestingly, the variance can be substantially reduced by a simple…

Machine Learning · Computer Science 2017-02-22 Ping Li

South Korea has become one of the most important economies in Asia. The largest Korean multinational firms are affiliated with influential family-owned business groups known as the chaebol. Despite the surging academic popularity of the…

General Economics · Economics 2023-06-16 Artur F. Tomeczek
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