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UID:pretalx-foss4g-2026-BHEB3E@talks.osgeo.org
DTSTART;TZID=JST:20260902T163000
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DESCRIPTION:Open geospatial data have become increasingly available in rece
 nt years\, enabling researchers and practitioners to analyze complex spati
 al phenomena at unprecedented spatial and temporal resolutions. Government
  statistics\, environmental monitoring networks\, and socio-economic indic
 ators are now widely distributed through open data platforms and can be in
 tegrated with geographic information systems (GIS). However\, many spatial
  datasets contain multiple interrelated variables that evolve simultaneous
 ly across both space and time. Examples include regional economic indicato
 rs\, demographic statistics\, environmental measurements\, and infrastruct
 ure activity. Understanding the interactions among these variables is esse
 ntial for studying spatial systems\, yet most existing spatial modeling ap
 proaches treat each variable separately.\n\nTraditional spatial regression
  models such as the spatial autoregressive (SAR) model and the spatial err
 or model (SEM) are widely used in spatial econometrics and spatial statist
 ics. These models capture spatial dependence through spatial weight matric
 es representing relationships among geographic units such as administrativ
 e regions or grid cells. While these methods have proven useful for analyz
 ing spatial spillovers and diffusion processes\, they are typically formul
 ated for a single response variable. When multiple spatial variables are a
 nalyzed separately\, potential interactions among them cannot be represent
 ed explicitly. As a result\, the joint dynamics of spatial systems may rem
 ain partially unexplained.\n\nThis presentation introduces a multivariate 
 spatio-temporal regression framework designed to analyze multiple spatial 
 variables simultaneously. The proposed model extends classical spatial reg
 ression models to a multivariate setting by representing dependent variabl
 es as vectors that evolve across both geographic space and time. In this f
 ramework\, spatial dependence is represented through spatial weight matric
 es commonly used in GIS-based spatial analysis\, while temporal dependence
  is incorporated through autoregressive structures. The resulting model ca
 ptures three important types of interactions: spatial spillovers across ne
 ighboring regions\, temporal persistence within each variable\, and cross-
 variable interactions among multiple spatial indicators.\n\nThe proposed m
 odeling framework is expressed in a compact matrix form and estimated usin
 g maximum likelihood methods. The likelihood-based estimation approach ena
 bles efficient parameter estimation while maintaining statistical interpre
 tability. Under suitable conditions\, the parameters of the model are iden
 tifiable\, meaning that spatial effects and cross-variable interactions ca
 n be uniquely recovered from observed spatial data. Because the model stru
 cture generalizes classical spatial econometric specifications\, it natura
 lly nests widely used models such as multivariate spatial autoregressive a
 nd spatial error models.\n\nTo evaluate the statistical performance of the
  proposed framework\, Monte Carlo simulation experiments were conducted un
 der a variety of spatial and temporal dependence scenarios. The simulation
 s demonstrate that the estimation procedure can accurately recover true mo
 del parameters even when complex cross-variable spatial interactions are p
 resent. These results indicate that the multivariate formulation provides 
 a robust statistical tool for modeling multidimensional spatial dependence
 .\n\nThe practical applicability of the approach is demonstrated using reg
 ional data from Japan. The empirical analysis focuses on the joint spatial
  dynamics of prefectural fertility rates and regional gross domestic produ
 ct (GDP). These variables are closely related through demographic and econ
 omic processes and are likely to influence one another across neighboring 
 regions. Using GIS-based regional datasets and spatial weight matrices rep
 resenting prefectural adjacency relationships\, the multivariate spatio-te
 mporal model is estimated to capture both spatial spillovers and cross-var
 iable interactions. Model comparison based on the Akaike Information Crite
 rion indicates that the multivariate specification provides a better fit t
 o the data than conventional univariate spatial regression models. The res
 ults suggest that explicitly modeling multidimensional spatial dependence 
 improves both statistical performance and interpretability of regional pro
 cesses.\n\nBeyond this specific example\, the proposed framework has broad
  implications for spatial data science and geospatial analytics. Many open
  geospatial datasets—including environmental observations\, urban indica
 tors\, transportation data\, and socio-economic statistics—contain multi
 ple variables that interact across both space and time. The multivariate s
 patio-temporal regression framework provides a statistical methodology for
  analyzing such datasets while accounting for spatial dependence structure
 s commonly used in GIS analysis. Because the model relies on spatial weigh
 t matrices and likelihood-based estimation\, it can be integrated with exi
 sting geospatial workflows and open-source statistical environments. It is
  also potentially useful for policy evaluation\, regional forecasting\, di
 saster recovery assessment\, and evidence-based planning using linked spat
 ial indicators.\n\nFor the FOSS4G community\, this work highlights the imp
 ortance of combining statistical modeling with open geospatial infrastruct
 ures. While GIS platforms provide powerful tools for visualizing and manag
 ing spatial data\, rigorous statistical models are essential for understan
 ding spatial interactions and making reliable inferences from complex data
 sets. The proposed modeling approach contributes to this integration by of
 fering a statistically grounded framework for analyzing multidimensional s
 patial processes using GIS-based regional data.\n\nFuture work will focus 
 on implementing the proposed modeling framework in open-source statistical
  and geospatial software environments\, enabling researchers and practitio
 ners to apply multivariate spatial modeling techniques to a wide range of 
 open geospatial datasets. By bridging statistical methodology and open geo
 spatial data analysis\, the approach aims to support more comprehensive mo
 deling of complex spatial systems in both research and applied domains.
DTSTAMP:20260717T225734Z
LOCATION:Cosmos1
SUMMARY:Multivariate Spatio-Temporal Modeling for Regional GIS Data: A Stat
 istical Framework for Analyzing Multidimensional Spatial Interactions - Sa
 eko Ohta
URL:https://talks.osgeo.org/foss4g-2026/talk/BHEB3E/
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