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The structure of an evolving network contains information about its past. Extracting this information efficiently, however, is, in general, a difficult challenge. We formulate a fast and efficient method to estimate the most likely history…

Physics and Society · Physics 2020-09-16 Gábor Timár , Rui A. da Costa , Sergey N. Dorogovtsev , José F. F. Mendes

Migration plays a crucial role in urban growth. Over time, individuals opting to relocate led to vast metropolises like London and Paris during the Industrial Revolution, Shanghai and Karachi during the last decades and thousands of smaller…

Physics and Society · Physics 2025-04-03 Rafael Prieto-Curiel , Carmen Cabrera-Arnau

1. Animal movement patterns contribute to our understanding of variation in breeding success and survival of individuals, and the implications for population dynamics. 2. Over time, sensor technology for measuring movement patterns has…

Quantitative Methods · Quantitative Biology 2018-01-11 Leah R. Johnson , Philipp H. Boersch-Supan , Richard A. Phillips , Sadie J. Ryan

Time evolutions of number of cities, population of cities, world population, and size distribution of present languages are studied in terms of a new model, where population of each city increases by a random rate and decreases by a random…

Physics and Society · Physics 2016-12-27 Caglar Tuncay

Recent methodological advances are enabling better examination of speciation and extinction processes and patterns. A major open question is the origin of large discrepancies in species number between groups of the same age. Existing…

Populations and Evolution · Quantitative Biology 2015-09-01 Sacha Laurent , Marc Robinson-Rechavi , Nicolas Salamin

Knowing where people live is a fundamental component of many decision making processes such as urban development, infectious disease containment, evacuation planning, risk management, conservation planning, and more. While bottom-up, survey…

Artificial Intelligence · Computer Science 2017-08-31 Caleb Robinson , Fred Hohman , Bistra Dilkina

This work focuses on clustering populations with a hierarchical dependency structure that can be described by a tree. A particular example that is the focus of our work is the phylogenetic tree, with nodes often representing biological…

Methodology · Statistics 2023-02-28 Hanxi Sun , Heejung Shim , Vinayak Rao

This paper presents Living Globe, an application for visualization of demo- graphic data supporting the temporal comparison of data from several countries represented on a 3D globe. Living Globe allows the visual exploration of the…

Human-Computer Interaction · Computer Science 2016-07-21 Eduardo Duarte , Pedro Bordonhos , Paulo Dias , Beatriz Sousa Santos

Here the term "high frequency" refers to daily, weekly or monthly birth data. The fluctuations of daily birth numbers show a succession of spikes and dips which, at least at first sight, looks almost as random as white noise. However in…

Biological Physics · Physics 2018-08-01 Claudiu Herteliu , Peter Richmond , Bertrand M. Roehner

In 2012 the world's population exceeded 7 billion, and since 2008 the number of individuals living in urban areas has surpassed that of rural areas. This is the result of an overall increase of life expectancy in many countries that has…

Physics and Society · Physics 2015-12-14 Filippo Simini , Charlotte James

Forecasting is critical in areas such as finance, biology, and healthcare. Despite the progress in the field, making accurate forecasts remains challenging because real-world time series contain both global trends, local fine-grained…

Machine Learning · Computer Science 2026-01-01 Zihao Chen , Alexandre Andre , Wenrui Ma , Ian Knight , Sergey Shuvaev , Eva Dyer

Data describing the growth of the world population in the past 12,000 years are analysed. It is shown that, if unchecked, population does not increase exponentially but hyperbolically. This analysis reveals three approximately-determined…

Populations and Evolution · Quantitative Biology 2016-01-21 Ron W. Nielsen

When an advantageous mutation occurs in a population, the favorable allele may spread to the entire population in a short time, an event known as a selective sweep. As a result, when we sample $n$ individuals from a population and trace…

Probability · Mathematics 2007-05-23 Rick Durrett , Jason Schweinsberg

Aging, as defined in terms of the slope of the probability of death versus time (hazard curve), is a generic phenomenon observed in nearly all complex systems. Theoretical models of aging predict hazard curves that monotonically increase in…

Biological Physics · Physics 2023-12-20 Cagatay Eskin , Dervis C. Vural

We review recent progress on ancestral processes related to mutation-selection models, both in the deterministic and the stochastic setting. We mainly rely on two concepts, namely, the killed ancestral selection graph and the pruned…

Probability · Mathematics 2020-03-17 Ellen Baake , Anton Wakolbinger

Natural rivers connect to each other to form networks. The geometric structure of a river network can significantly influence spatial dynamics of populations in the system. We consider a process-oriented model to describe population…

Analysis of PDEs · Mathematics 2019-06-26 Yu Jin , Rui Peng , Junping Shi

Mathematical models could be helpful in assisting the Indian Government's new initiative of issuing biometric cards to its citizens. In this note, we look into the role of mathematical models in estimating the missing, non-enumerated…

Applications · Statistics 2011-10-11 Arni S. R. Srinivasa Rao

Recovery of population size history from molecular sequence data is an important problem in population genetics. Inference commonly relies on a coalescent model linking the population size history to genealogies. The high computational cost…

Statistics Theory · Mathematics 2018-01-17 James E. Johndrow , Julia A. Palacios

Understanding patterns in mortality across subpopulations is essential for local health policy decision making. One of the key challenges of subnational mortality rate estimation is the presence of small populations and zero or near zero…

Applications · Statistics 2025-12-16 Ameer Dharamshi , Monica Alexander , Celeste Winant , Magali Barbieri

Plant-capture is a variant of classical capture-recapture methods used to estimate the size of a population. In this method, decoys referred to as "plants" are introduced into the population in order to estimate the capture probability. The…

Methodology · Statistics 2025-06-25 Yiran Wang , Martin Lysy , Audrey Béliveau