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A rapid growth in spatial open datasets has led to a huge demand for regression approaches accommodating spatial and non-spatial effects in big data. Regression model selection is particularly important to stably estimate flexible…

Applications · Statistics 2020-10-02 Daisuke Murakami , Mami Kajita , Seiji Kajita

Geographic Information Systems (GIS) and related technologies have generated substantial interest among statisticians with regard to scalable methodologies for analyzing large spatial datasets. A variety of scalable spatial process models…

Machine Learning · Statistics 2021-09-10 Sudipto Banerjee

In fishery science, harvest management of size-structured stochastic populations is a long-standing and difficult problem. Rectilinear precautionary policies based on biomass and harvesting reference points have now become a standard…

Populations and Evolution · Quantitative Biology 2025-08-15 Felipe Montealegre-Mora , Carl Boettiger , Carl J. Walters , Christopher L. Cahill

This paper addresses the problem of optimizing sensor deployment locations to reconstruct and also predict a spatiotemporal field. A novel deep learning framework is developed to find a limited number of optimal sampling locations and based…

Signal Processing · Electrical Eng. & Systems 2019-10-30 Jiahong Chen , Teng Li , Jing Wang , Clarence W. de Silva

Spatial statistics is concerned with the analysis of data that have spatial locations associated with them, and those locations are used to model statistical dependence between the data. The spatial data are treated as a single realisation…

Methodology · Statistics 2022-02-09 Noel Cressie , Matthew Sainsbury-Dale , Andrew Zammit-Mangion

Nonlinear dynamical stochastic models are ubiquitous in different areas. Excitable media models are typical examples with large state dimensions. Their statistical properties are often of great interest but are also very challenging to…

Statistics Theory · Mathematics 2019-01-29 Nan Chen , Andrew J. Majda , Xin T. Tong

Spatial-temporal forecasting plays an important role in many real-world applications, such as traffic forecasting, air pollutant forecasting, crowd-flow forecasting, and so on. State-of-the-art spatial-temporal forecasting models take…

Machine Learning · Computer Science 2024-01-22 Xinyu Su , Jianzhong Qi , Egemen Tanin , Yanchuan Chang , Majid Sarvi

We analyze the long term behavior of interacting populations which can be controlled through harvesting. The dynamics is assumed to be discrete in time and stochastic due to the effect of environmental fluctuations. We present extinction…

Populations and Evolution · Quantitative Biology 2021-02-18 Alexandru Hening

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

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

Methodology · Statistics 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

Traditional spatio-temporal models for areal data typically begin with spatial structure imposed at the level of random effects and later extend to include temporal dynamics. We propose an alternative hierarchical modeling framework that…

Many wild species affected by human activities require multiple surveys with differing designs to capture behavioural response to wide ranging habitat conditions and map and quantify them. While data from for example intersecting but…

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

The difficulty of monitoring biodiversity at fine scales and over large areas limits ecological knowledge and conservation efforts. To fill this gap, Species Distribution Models (SDMs) predict species across space from spatially explicit…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Lukas Picek , Christophe Botella , Maximilien Servajean , César Leblanc , Rémi Palard , Théo Larcher , Benjamin Deneu , Diego Marcos , Pierre Bonnet , Alexis Joly

We study a spatial, one-shot prisoner's dilemma (PD) model in which selection operates on both an organism's behavioral strategy (cooperate or defect) and its choice of when to implement that strategy across a set of discrete time slots.…

Populations and Evolution · Quantitative Biology 2020-12-01 Tim Johnson , Oleg Smirnov

Functional spatio-temporal data naturally arise in many environmental and climate applications where data are collected in a three-dimensional space over time. The MATLAB D-STEM v1 software package was first introduced for modelling…

Methodology · Statistics 2021-01-28 Yaqiong Wang , Francesco Finazzi , Alessandro Fassò

We develop a novel dynamical method to examine spatial interaction models (SIMs). For each SIM, we use our dynamical framework to model emigration patterns. We look at the resulting population distributions to see if they are realistic or…

Physics and Society · Physics 2019-11-25 James Wilkinson , Theodore Emms , Tim S. Evans

In the autonomous ocean monitoring task, the sampling robot moves in the environment and accumulates data continuously. The widely adopted spatial modeling method - standard Gaussian process (GP) regression - becomes inadequate in…

Robotics · Computer Science 2023-06-13 Weizhe Chen , Lantao Liu

Mechanistic home range models are important tools in modeling animal dynamics in spatially-complex environments. We introduce a class of stochastic models for animal movement in a habitat of varying preference. Such models interpolate…

Quantitative Methods · Quantitative Biology 2007-05-25 A. H. Barnett , P. R. Moorcroft

System dynamics (SD) is an effective approach for helping reveal the temporal behavior of complex systems. Although there have been recent developments in expanding SD to include systems' spatial dependencies, most applications have been…

Computational Engineering, Finance, and Science · Computer Science 2015-06-03 Christian Neuwirth , Angela Peck , Slobodan Simonovic