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Spatio-temporal areal data can be seen as a collection of time series which are spatially correlated according to a specific neighboring structure. Incorporating the temporal and spatial dimension into a statistical model poses challenges…

Assessing associations between a response of interest and a set of covariates in spatial areal models is the leitmotiv of ecological regression. However, the presence of spatially correlated random effects can mask or even bias estimates of…

Methodology · Statistics 2021-06-02 A. Adin , T. Goicoa , J. S. Hodges , P. Schnell , M. D. Ugarte

We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

Populations and Evolution · Quantitative Biology 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

Machine Learning · Statistics 2022-05-04 Thomas Lartigue , Sach Mukherjee

We study spatiotemporal correlations and temporal diversities of handset-based service usages by analyzing a dataset that includes detailed information about locations and service usages of 124 users over 16 months. By constructing the…

Physics and Society · Physics 2012-11-07 Hang-Hyun Jo , Márton Karsai , Juuso Karikoski , Kimmo Kaski

Products manufactured from the same batch or utilized in the same region often exhibit correlated lifetime observations due to the latent heterogeneity caused by the influence of shared but unobserved covariates. The unavailable…

Methodology · Statistics 2021-07-15 Xuxue Sun , Mingyang Li

Global, population-wide oscillations in models of cyclic dominance may result in the collapse of biodiversity due to the accidental extinction of one species in the loop. Previous research has shown that such oscillations can emerge if the…

Populations and Evolution · Quantitative Biology 2016-12-14 Attila Szolnoki , Matjaz Perc

Spatial documentation is exponentially increasing given the availability of Big IoT Data, enabled by the devices miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence…

Methodology · Statistics 2020-10-01 Francisco Louzada , Diego C. Nascimento , Osafu Augustine Egbon

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

Methodology · Statistics 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

We consider the problem of causal discovery (structure learning) from heterogeneous observational data. Most existing methods assume a homogeneous sampling scheme, which leads to misleading conclusions when violated in many applications. To…

Methodology · Statistics 2022-02-01 Fangting Zhou , Kejun He , Yang Ni

The savanna biome is characterised by a continuous vegetation cover, comprised of herbaceous and woody plants. The coexistence of species in arid savannas, where water availability is the main limiting resource for plant growth, provides an…

Populations and Evolution · Quantitative Biology 2019-11-26 Lukas Eigentler , Jonathan A Sherratt

Spatial patterning and synchronization are pervasive features of plankton communities, yet the mechanisms that allow such patterns to persist coherently under environmental noise remain unresolved. In vertically structured aquatic…

Pattern Formation and Solitons · Physics 2026-03-26 Ju Kang , Yiyuan Niu , Yuanzhi Li , Quan-Xing Liu , Chengjin Chu

Auto-logistic and related auto-models, implemented approximately as autocovariate regression, provide simple and direct modelling of spatial dependence. The autologistic model has been widely applied in ecology since Augustin, Mugglestone…

Quantitative Methods · Quantitative Biology 2015-05-01 David C. Bardos , Gurutzeta Guillera-Arroita , Brendan A. Wintle

We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

Statistics Theory · Mathematics 2019-12-23 Hai Shu , Bin Nan

A complex interplay between species governs the evolution of spatial patterns in ecology. An open problem in the biological sciences is characterising spatio-temporal data and understanding how changes at the local scale affect global…

Quantitative Methods · Quantitative Biology 2023-08-15 Robert A. McDonald , Rosanna Neuhausler , Martin Robinson , Laurel G. Larsen , Heather A. Harrington , Maria Bruna

The health impact of long-term exposure to air pollution is now routinely estimated using spatial ecological studies, due to the recent widespread availability of spatial referenced pollution and disease data. However, this areal unit study…

Applications · Statistics 2014-12-16 Duncan Lee , Christophe Sarran

This study addresses the critical challenge of modeling and mapping urban air quality to ascertain pollutant concentrations in unmonitored locations. The advent of low-cost sensors, particularly those deployed in vehicular networks,…

In credit risk analysis, survival models with fixed and time-varying covariates are widely used to predict a borrower's time-to-event. When the time-varying drivers are endogenous, modelling jointly the evolution of the survival time and…

Risk Management · Quantitative Finance 2025-09-03 Victor Medina-Olivares , Finn Lindgren , Raffaella Calabrese , Jonathan Crook

Cities are typical dynamic complex systems that connect people and facilitate interactions. Revealing universal collective patterns behind spatio-temporal interactions between residents is crucial for various urban studies, of which we are…

Physics and Society · Physics 2024-06-11 Chenxin Liu , Yu Yang , Bingsheng Chen , Tianyu Cui , Fan Shang , Jingfang Fan , Ruiqi Li

Face-to-face interactions reveal recurring patterns, suggesting the possibility of shared underlying mechanisms. More specifically, inter-contact durations, contact durations and number of contacts per edge share similar heavy-tail…

Physics and Society · Physics 2026-04-02 Juliette Gambaudo , Mathieu Génois
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