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We consider a discrete model that describes a locally regulated spatial population with mortality selection. This model was studied in parallel by Bolker and Pacala and Dieckmann, Law and Murrell. We first generalize this model by adding…

Probability · Mathematics 2007-05-23 Nicolas Fournier , Sylvie Meleard

Ecologists are interested in modeling the population growth of species in various ecosystems. Studying population dynamics can assist environmental managers in making better decisions for the environment. Traditionally, the sampling of…

Methodology · Statistics 2021-02-04 Rebecca E. Atanga , Edward L. Boone , Ryad A. Ghanam , Ben Stewart-Koster

In this paper we identify the changing frequency behaviour of multinomial counts of fish species discarded by vessels in the Irish Sea. We use a Bayesian hierarchical model which captures dynamic frequency changes via a shrinkage model…

Applications · Statistics 2014-07-24 Andrew C. Parnell , Norman Graham , Andrew L. Jackson , Mafalda Viana

Marine mammals are increasingly vulnerable to human disturbance and climate change. Their diving behavior leads to limited visual access during data collection, making studying the abundance and distribution of marine mammals challenging.…

Understanding what controls apparently random fluctuations in fish recruitment is a major challenge in fisheries science. Our current inability to anticipate recruitment failures has led to costly management actions and in some cases…

Populations and Evolution · Quantitative Biology 2015-09-07 Charles T. Perretti , Stephan B. Munch , Michael J. Fogarty , George Sugihara

In this study, a method will be developed and applied for estimating biological migration parameters of the biomass of a fishery resource by means of a decision analysis of the spatial behavior of the fleet. First, a model of discrete…

General Economics · Economics 2018-12-20 Hugo Salgado , Ariel Soto-Caro

To better understand current trends of urban population growth in Sub-Saharan Africa, high-quality spatiotemporal population estimates are necessary. While the joint use of remote sensing and deep learning has achieved promising results for…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Sebastian Hafner , Stefanos Georganos , Theodomir Mugiraneza , Yifang Ban

The LIGO-Virgo-KAGRA catalog has been analyzed with an abundance of different population models due to theoretical uncertainty in the formation of gravitational-wave sources. To expedite model exploration, we introduce an efficient and…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Matthew Mould , Noah E. Wolfe , Salvatore Vitale

The impact of climate change on populations will be contingent upon their contemporary adaptive evolution. In this study, we investigated the contemporary evolution of four populations of the cold-water kelp Laminaria digitata by analysing…

Populations and Evolution · Quantitative Biology 2024-04-23 Lauric Reynes , Louise Fouqueau , D. Aurelle , Stéphane Mauger , Christophe Destombe , Myriam Valero

The study of population dynamics originated with early sociological works but has since extended into many fields, including biology, epidemiology, evolutionary game theory, and economics. Most studies on population dynamics focus on the…

Machine Learning · Computer Science 2024-06-07 Noah Golowich , Elad Hazan , Zhou Lu , Dhruv Rohatgi , Y. Jennifer Sun

We consider a stochastic population model where the intrinsic or demographic noise causes cycling between states before the population eventually goes extinct. A master equation approach coupled with a WKB (Wentzel-Kramers-Brillouin)…

Populations and Evolution · Quantitative Biology 2014-12-16 Garrett Nieddu , Lora Billings , Eric Forgoston

In epidemiological surveys, data missing not at random (MNAR) due to survey nonresponse may potentially lead to a bias in the risk factor estimates. We propose an approach based on Bayesian data augmentation and survival modelling to reduce…

Methodology · Statistics 2017-08-29 Juho Kopra , Juha Karvanen , Tommi Härkänen

In this work we explore the temporal dynamics of spatial heterogeneity during the process of tumorigenesis from healthy tissue. We utilize a spatial stochastic process model of mutation accumulation and clonal expansion in a structured…

Populations and Evolution · Quantitative Biology 2015-11-03 K. Storey , M. D. Ryser , K. Leder , J. Foo

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

The proliferation of mobile devices has led to the collection of large amounts of population data. This situation has prompted the need to utilize this rich, multidimensional data in practical applications. In response to this trend, we…

Applications · Statistics 2024-07-18 Tomoya Wakayama , Shonosuke Sugasawa

Binned data often appears in different fields of research, and it is generated after summarizing the original data in a sequence of pairs of bins (or their midpoints) and frequencies. There may exist different reasons to only provide this…

Methodology · Statistics 2024-09-13 Asael Fabian Martínez , Carlos Díaz-Avalos

We use a damped mass-spring model within an N-body code to simulate the tidal evolution of the spin and orbit of a self-gravitating viscoelastic spherical body moving around a point-mass perturber. The damped mass-spring model represents a…

Earth and Planetary Astrophysics · Physics 2016-06-16 Julien Frouard , Alice C. Quillen , Michael Efroimsky , David Giannella

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

We review some results on abstract linear and nonlinear population models with age and spatial structure. The results are mainly based on the assumption of maximal $L_p$-regularity of the spatial dispersion term. In particular, this…

Analysis of PDEs · Mathematics 2017-09-14 Christoph Walker

In this paper, by resorting to classical methods of statistical mechanics, we build a kinetic model able to reproduce the observed statistical weight distribution of many diverse species. The kinetic description of the time variations of…

Populations and Evolution · Quantitative Biology 2022-06-02 Stefano Gualandi , Giuseppe Toscani , Eleonora Vercesi
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