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Ecological systems are governed by complex interactions which are mainly nonlinear. In order to capture this complexity and nonlinearity, statistical models recently gained popularity. However, although these models are commonly applied in…

Quantitative Methods · Quantitative Biology 2011-07-29 Can Ozan Tan , Uygar Ozesmi , Meryem Beklioglu , Esra Per , Bahtiyar Kurt

Accurate travel time estimation is essential for navigation and itinerary planning. While existing research employs probabilistic modeling to assess travel time uncertainty and account for correlations between multiple trips, modeling the…

Machine Learning · Computer Science 2024-11-28 Chen Xu , Qiang Wang , Lijun Sun

Spatio-temporal models are widely used in many research areas from ecology to epidemiology. However, most covariance functions describe spatial relationships based on Euclidean distance only. In this paper, we introduce the R package…

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

Conservation science depends on an accurate understanding of what's happening in a given ecosystem. How many species live there? What is the makeup of the population? How is that changing over time? Species Distribution Modeling (SDM) seeks…

Machine Learning · Computer Science 2021-07-23 Sara Beery , Elijah Cole , Joseph Parker , Pietro Perona , Kevin Winner

We introduce a nonstationary spatio-temporal statistical model for gridded data on the sphere. The model specifies a computationally convenient covariance structure that depends on heterogeneous geography. Widely used statistical models on…

Applications · Statistics 2016-02-25 Stefano Castruccio , Joseph Guinness

We develop a class of nearest-neighbor mixture models that provide direct, computationally efficient, probabilistic modeling for non-Gaussian geospatial data. The class is defined over a directed acyclic graph, which implies conditional…

Methodology · Statistics 2022-06-28 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Nonstationarity in spatial and spatio-temporal processes is ubiquitous in environmental datasets, but is not often addressed in practice, due to a scarcity of statistical software packages that implement nonstationary models. In this…

Computation · Statistics 2025-12-10 Quan Vu , Xuanjie Shao , Raphaël Huser , Andrew Zammit-Mangion

In ecology we may find scenarios where the same phenomenon (species occurrence, species abundance, etc.) is observed using two different types of samplers. For instance, species data can be collected from scientific sampling with a…

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

This paper proposes a physical-statistical modeling approach for spatio-temporal data arising from a class of stochastic convection-diffusion processes. Such processes are widely found in scientific and engineering applications where…

Applications · Statistics 2020-08-07 Xiao Liu , Kyongmin Yeo , Siyuan Lu

This study demonstrates how to use the "spmoran" package implementing scalable spatial regression models for Gaussian and non-Gaussian data. Implemented models include spatially varying coefficient models, models with group effects, spatial…

Other Statistics · Statistics 2024-01-24 Daisuke Murakami

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

Climate science produces a wealth of complex, high-dimensional, multivariate data from observations and numerical models. These data are critical for understanding climate changes and their socioeconomic impacts. Climate scientists are…

Human-Computer Interaction · Computer Science 2024-08-01 Abdullah-Al-Raihan Nayeem , Dongyun Han , Huikyo Lee , Donghoon Kim , Daniel Feldman , William J. Tolone , Daniel Crichton , Isaac Cho

Species distribution models (SDM) are a key tool in ecology, conservation and management of natural resources. Two key components of the state-of-the-art SDMs are the description for species distribution response along environmental…

Methodology · Statistics 2021-11-08 Jarno Vanhatalo , Marcelo Hartmann , Lari Veneranta

Spatiotemporal processes have the potential to be one of the most influential factors governing how fisheries targeting sedentary species respond to harvesting. Despite this, management strategy evaluation often fails to account for space…

Populations and Evolution · Quantitative Biology 2021-09-07 Christopher D. Nottingham , Russell B. Millar

Environmental monitoring is a task that requires to surrogate system-wide information with limited sensor readings. Under the proximity principle, an environmental monitoring system can be based on the virtual sensing logic and then rely on…

Applications · Statistics 2022-06-17 M. Lambardi di San Miniato , R. Bellio , L. Grassetti , P. Vidoni

Analysing non-Gaussian spatial-temporal data requires introducing spatial as well as temporal dependence in generalised linear models through the link function of an exponential family distribution. Unlike in Gaussian likelihoods, inference…

Methodology · Statistics 2025-12-29 Soumyakanti Pan , Lu Zhang , Jonathan R. Bradley , Sudipto Banerjee

Spatial ecological networks are widely used to model interactions between georeferenced biological entities (e.g., populations or communities). The analysis of such data often leads to a two-step approach where groups containing similar…

Applications · Statistics 2014-02-24 Vincent Miele , Franck Picard , Stéphane Dray

We introduce a scalable approach to Gaussian process inference that combines spatio-temporal filtering with natural gradient variational inference, resulting in a non-conjugate GP method for multivariate data that scales linearly with…

Machine Learning · Computer Science 2021-11-03 Oliver Hamelijnck , William J. Wilkinson , Niki A. Loppi , Arno Solin , Theodoros Damoulas