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A cluster tree provides a highly-interpretable summary of a density function by representing the hierarchy of its high-density clusters. It is estimated using the empirical tree, which is the cluster tree constructed from a density…

Statistics Theory · Mathematics 2017-02-14 Jisu Kim , Yen-Chi Chen , Sivaraman Balakrishnan , Alessandro Rinaldo , Larry Wasserman

Motivated by the wide range of known self-replicating systems, some far from genetics, we study a system composed by individuals having an internal dynamics with many possible states that are partially stable, with varying mutation rates.…

Biological Physics · Physics 2015-10-07 Tommaso Brotto , Guy Bunin , Jorge Kurchan

The process of urbanization is one of the most important phenomenon of our societies and it is only recently that the availability of massive amounts of geolocalized historical data allows us to address quantitatively some of its features.…

Physics and Society · Physics 2017-10-20 Giulia Carra , Marc Barthelemy

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 consider the effect of non-constant parameters on the human-forest interaction logistic model coupled with human technological growth introduced in "Deforestation and world population sustainability: a quantitative analysis"[1]. In…

Populations and Evolution · Quantitative Biology 2021-12-21 Gerardo Aquino , Mauro Bologna

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

Human populations have a complex history of introgression and of changing population size. Human genetic variation has been affected by both these processes, so that inference of past population size depends upon the pattern of gene flow…

Populations and Evolution · Quantitative Biology 2017-03-29 John Hawks

Reconstruction of population histories is a central problem in population genetics. Existing coalescent-based methods, like the seminal work of Li and Durbin (Nature, 2011), attempt to solve this problem using sequence data but have no…

Populations and Evolution · Quantitative Biology 2020-05-11 Younhun Kim , Frederic Koehler , Ankur Moitra , Elchanan Mossel , Govind Ramnarayan

The Gapminder project set out to use statistics to dispel simplistic notions about global development. In the same spirit, we use persistent homology, a technique from computational algebraic topology, to explore the relationship between…

Algebraic Topology · Mathematics 2018-01-12 Andrew Banman , Lori Ziegelmeier

Poverty prediction models are used to address missing data issues in a variety of contexts such as poverty profiling, targeting with proxy-means tests, cross-survey imputations such as poverty mapping, top and bottom incomes studies, or…

General Economics · Economics 2025-05-12 Paolo Verme

Many aspects of the historical relationships between populations in a species are reflected in genetic data. Inferring these relationships from genetic data, however, remains a challenging task. In this paper, we present a statistical model…

Populations and Evolution · Quantitative Biology 2012-11-20 Joseph K. Pickrell , Jonathan K. Pritchard

The concept of random deaths in a computational model for population dynamics is critically examined. We claim that it is just an artifact, albeit useful, of computational models to limit the size of the populations and has no biological…

Statistical Mechanics · Physics 2007-05-23 J. S. Sa' Martins , S. Cebrat

Mast fruiting represents a synchronous population behaviour which can spread on large landscape areas. This reproductive pattern is generally perceived as a synchronous periodic production of large seed crops and has a significant practical…

Quantitative Methods · Quantitative Biology 2016-02-12 Ciprian Palaghianu , Marian Dragoi

Statistics on migration flows are often derived from census data, which suffer from intrinsic limitations, including costs and infrequent sampling. When censuses are used, there is typically a time gap - up to a few years - between the data…

Computers and Society · Computer Science 2021-06-01 Massimiliano Luca , Gianni Barlacchi , Nuria Oliver , Bruno Lepri

Mortality, birth rates and retirement play a major role in demographic changes. In most cases, mortality rates decreased in the past century without noticeable decrease in fertility rates, this leads to a significant increase in population…

Populations and Evolution · Quantitative Biology 2009-11-13 M. A. Sumour , A. H. El-Astal , M. M. Shabat , M. A. Radwan

Despite its historical and biological stability, the sex ratio at birth (SRB) has risen in parts of the world in the last several decades. The resultant demographic consequences, mostly on sex imbalance, are well documented, typically…

Populations and Evolution · Quantitative Biology 2020-07-13 Zhen Zhang , Qiang Li

In the present work we study the relationship between population allocation and the combined effects of urban size and energy consumption, for two given areas and through a major part of the twentieth century. Along these lines a general…

Physics and Society · Physics 2016-06-17 Josep M Casas-Busquet , Agustí Poch-Parés

High quality census data are not always available in developing countries. Instead, mobile phone data are becoming a trending proxy to evaluate population density, activity and social characteristics. They offer additional advantages for…

Physics and Society · Physics 2019-09-18 Hadrien Salat , Zbigniew Smoreda , Markus Schläpfer

About 45,000 years ago, symbolic and technological complexity of human artefacts increased drastically. Computer simulations of Powell, Shennan and Thomas (2009) explained it through an increase of the population density, facilitating the…

Physics and Society · Physics 2015-05-30 M. A. Sumour , M. A. Radwan , M. M. Shabat , Ali H. El-Astal

Since steep declines in a population's size also typically alter its composition, population bottlenecks are considered highly important for evolution. However, despite such significance, the mechanisms governing the impact of a given…

Populations and Evolution · Quantitative Biology 2022-06-28 Emanuele Crosato , Jeffrey N. Philippson , Shashi Thutupalli , Richard G. Morris