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This paper proposes a novel modelling and control framework for growth models that incorporate a size spectrum in conjunction with numerical computation and extensive field surveys. In fisheries management, the size spectrum, characterized…

Optimization and Control · Mathematics 2026-02-10 Hidekazu Yoshioka , Yumi Yoshioka , Motoh Tsujimura , Ayumi Hashiguchi

Advances in cellular imaging technologies, especially those based on fluorescence in situ hybridization (FISH) now allow detailed visualization of the spatial organization of human or bacterial cells. Quantifying this spatial organization…

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

Very large spatio-temporal lattice data are becoming increasingly common across a variety of disciplines. However, estimating interdependence across space and time in large areal datasets remains challenging, as existing approaches are…

Computation · Statistics 2018-07-20 Philipp Hunziker , Julian Wucherpfennig , Aya Kachi , Nils-Christian Bormann

We propose an online spatiotemporal articulation model estimation framework that estimates both articulated structure as well as a temporal prediction model solely using passive observations. The resulting model can predict future mo- tions…

Robotics · Computer Science 2016-04-13 Suren Kumar , Vikas Dhiman , Madan Ravi Ganesh , Jason J. Corso

Spatial heterogeneity plays an important role in complex ecosystem dynamics, and therefore is also an important consideration in sustainable resource management. However, little is known about how spatial effects can influence management…

Populations and Evolution · Quantitative Biology 2015-09-29 Nao Takashina , Akihiko Mougi

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal…

Physics and Society · Physics 2025-11-20 Zsófia Simon , Jari Saramäki

Spatiotemporal data mining (STDM) has a wide range of applications in various complex physical systems (CPS), i.e., transportation, manufacturing, healthcare, etc. Among all the proposed methods, the Convolutional Long Short-Term Memory…

Machine Learning · Computer Science 2025-11-19 Junfeng Wu , Hadjer Benmeziane , Kaoutar El Maghraoui , Liu Liu , Yinan Wang

Nonstationary non-Gaussian spatial data are common in many disciplines, including climate science, ecology, epidemiology, and social sciences. Examples include count data on disease incidence and binary satellite data on cloud mask…

Computation · Statistics 2020-11-30 Benjamin Seiyon Lee , Jaewoo Park

Modern methods for quantifying and predicting species distribution play a crucial part in biodiversity conservation. Occupancy models are a popular choice for analyzing species occurrence data as they allow to separate the observational…

Methodology · Statistics 2024-03-19 Jafet Belmont , Sara Martino , Janine Illian , Håvard Rue

In this paper, we investigate the complex dynamics of a spatial plankton-fish system with Holling type III functional responses. We have carried out the analytical study for both one and two dimensional system in details and found out a…

Pattern Formation and Solitons · Physics 2011-03-18 Ranjit Kumar Upadhyay , Weiming Wang , N. K. Thakur

This article introduces novel and practicable Bayesian factor analysis frameworks that are computationally feasible for moderate to large spatiotemporal data. Previous Bayesian analysis of spatiotemporal data has utilized a Bayesian factor…

Methodology · Statistics 2025-02-18 Yifan Cheng , Cheng Li

The multivariate sequential ordinal model is investigated for use in the Bayesian analysis of spatio-temporal ordinal data. The sequential ordinal model likelihood is equivalent to a binary model conditional on unknown regression…

Nonstationary and non-Gaussian spatial data are common in various fields, including ecology (e.g., counts of animal species), epidemiology (e.g., disease incidence counts in susceptible regions), and environmental science (e.g.,…

Methodology · Statistics 2024-04-01 Remy MacDonald , Benjamin Seiyon Lee

1. Spatial memory plays a role in the way animals perceive their environments, resulting in memory-informed movement patterns that are observable to ecologists. Developing mathematical techniques to understand how animals use memory in…

Quantitative Methods · Quantitative Biology 2022-02-17 Peter R. Thompson , Andrew E. Derocher , Mark A. Edwards , Mark A. Lewis

Spatio-temporal models are widely used in many research areas including ecology. The recent proliferation of the use of in-situ sensors in streams and rivers supports space-time water quality modelling and monitoring in near real-time. A…

Many forest management planning decisions are based on information about the number of trees by species and diameter per unit area. This information is commonly summarized in a stand table, where a stand is defined as a group of forest…

Applications · Statistics 2014-11-04 Andrew O. Finley , Sudipto Banerjee , Aaron R. Weiskittel , Chad Babcock , Bruce D. Cook

We introduce a Bayesian approach for analyzing high-dimensional multinomial data that are referenced over space and time. In particular, the proportions associated with multinomial data are assumed to have a logit link to a latent…

Methodology · Statistics 2018-12-11 Jonathan R. Bradley , Christopher K. Wikle , Scott H. Holan

Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment.…

Quantitative Methods · Quantitative Biology 2018-09-07 Walter de Back , Thomas Zerjatke , Ingo Roeder

For many taxonomic groups, online biodiversity portals used by naturalists and citizen scientists constitute the primary source of distributional information. Over the last decade, site-occupancy models have been advanced as a promising…