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Dynamic high resolution data on human population distribution is of great importance for a wide spectrum of activities and real-life applications, but is too difficult and expensive to obtain directly. Therefore, generating fine-scaled…

Computer Vision and Pattern Recognition · Computer Science 2018-11-29 Zefang Zong , Jie Feng , Kechun Liu , Hongzhi Shi , Yong Li

There has been growing interest on forecasting mortality. In this article, we propose a novel dynamic Bayesian approach for modeling and forecasting the age-at-death distribution, focusing on a three-components mixture of a Dirac mass, a…

Applications · Statistics 2021-12-20 Emanuele Aliverti , Stefano Mazzuco , Bruno Scarpa

This paper takes a quick look at Bayesian joint models (BJM) for longitudinal and survival data. A general formulation for BJM is examined in terms of the sampling distribution of the longitudinal and survival processes, the conditional…

Methodology · Statistics 2020-05-27 Carmen Armero

In this study, we couple a population dynamics model with a model for optimal foraging to study the interdependence between individual-level cost-benefits and population-scale dynamics. Specifically, we study the logistic growth model,…

Populations and Evolution · Quantitative Biology 2024-08-06 Jimmy Calvo-Monge , Baltazar Espinoza , Fabio Sanchez

Stochastic reduced models are an important tool in climate systems whose many spatial and temporal scales cannot be fully discretized or underlying physics may not be fully accounted for. One form of reduced model, the linear inverse model…

Methodology · Statistics 2020-04-29 Dallas Foster , Darin Comeau , Nathan M. Urban

We extend our earlier mean field approximation of the Bolker-Pacala model of population dynamics by dividing the population into N classes, using a mean field approximation for each class but also allowing migration between classes as well…

Probability · Mathematics 2016-11-01 Mariya Bessonov , Stanislav Molchanov , Joseph Whitmeyer

Biological data sets are often high-dimensional, noisy, and governed by complex interactions among sparse signals. This poses major challenges for interpretability and reliable feature selection. Tasks such as identifying motif interactions…

Methodology · Statistics 2025-11-20 Marta S. Lemanczyk , Lucas Kock , Johanna Schlimme , Nadja Klein , Bernhard Y. Renard

We show that a simple nonlinear differential equation (originally studied in the physics of disordered systems) is able to mathematically describe the global population growth over the past 12000 years. Different regimes of population…

Populations and Evolution · Quantitative Biology 2026-05-27 Alessio Zaccone , Kostya Trachenko

The parameters of temporal models, such as dynamic Bayesian networks, may be modelled in a Bayesian context as static or atemporal variables that influence transition probabilities at every time step. Particle filters fail for models that…

Machine Learning · Statistics 2013-05-09 Yusuf Erol , Lei Li , Bharath Ramsundar , Stuart J. Russell

The transition density of a stochastic, logistic population growth model with multiplicative intrinsic noise is analytically intractable. Inferring model parameter values by fitting such stochastic differential equation (SDE) models to data…

Applications · Statistics 2015-08-17 Jonathan Heydari , Conor Lawless , David A. Lydall , Darren J. Wilkinson

Modeling fish growth is an important research topic in ecological and fishery sciences because body weight statistics directly affect the total biomass of fish in a habitat, which in turn affects their population dynamics. Many models of…

Populations and Evolution · Quantitative Biology 2025-06-10 H. Yoshioka , Y. Yoshioka , M. Tsujimura

In ecology, the description of species composition and biodiversity calls for statistical methods that involve estimating features of interest in unobserved samples based on an observed one. In the last decade, the Bayesian nonparametrics…

Methodology · Statistics 2026-04-28 Alessandro Colombi , Raffaele Argiento , Federico Camerlenghi , Lucia Paci

The Gompertz model since 1825 has significantly contributed to interpretation of ageing in biological and social sciences. However, in modern research findings, it is clear that the Gompertz model is not successful to describe the whole…

Populations and Evolution · Quantitative Biology 2007-05-23 Byung Mook Weon

We study in detail a recently proposed simple discrete model for evolution on smooth landscapes. An asymptotic solution of this model for long times is constructed. We find that the dynamics of the population are governed by correlation…

Condensed Matter · Physics 2009-10-28 David A. Kessler , Herbert Levine , Douglas Ridgway , Lev Tsimring

This paper considers a nonlinear model for population dynamics with age structure. The fertility rate with respect to age is non constant and has the form proposed by [17]. Moreover, its multiplicative structure and the multiplicative…

General Mathematics · Mathematics 2023-12-06 Dragos-Patru Covei , Traian A. Pirvu , Catalin Sterbeti

This work introduces a Bayesian smoothing approach for the joint graduation of mortality rates across multiple populations. In particular, dynamical linear models are used to induce smoothness across ages through structured dependence,…

In many studies of environmental change of the past few centuries, 210Pb dating is used to obtain chronologies for sedimentary sequences. One of the most commonly used approaches to estimate the ages of depths in a sequence is to assume a…

Applications · Statistics 2026-03-12 Marco A Aquino-López , Maarten Blaauw , J Andrés Christen , Nicole K. Sanderson

The propagation of a beneficial mutation in a spatially extended population is usually studied using the phenomenological stochastic Fisher-Kolmogorov (SFKPP) equation. We derive here an individual based, stochastic model founded on the…

Biological Physics · Physics 2017-08-02 Bahram Houchmandzadeh , Marcel Vallade

Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose several discrete-time population models to investigate the…

Dynamical Systems · Mathematics 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

Estimates of future migration patterns are of broad interest in demography. Forced migration, including refugee and asylum seekers, plays an important role in overall migration patterns, but is notoriously difficult to forecast. Focusing on…

Applications · Statistics 2025-10-21 Herbert Susmann , Adrian E. Raftery