Geospatial Theories and Methods

Yongze Song
Associate Professor
Curtin University, Australia
Important concepts in geospatial analysis:
- Spatial association: second-dimension spatial association, second-dimension outliers, interactive detector for spatial association, local pathways of association
- Spatial autocorrelation: heterogeneous spatial autocorrelation,
- Geostatistics or Kriging: segment-based regression kriging,
- Spatial heterogeneity: spatial stratified heterogeneity, local stratified heterogeneity, generalized heterogeneity, geographically optimal zones-based heterogeneity, locally explained heterogeneity, wavelet geographically weighted regression, spatio-temporal unmixing with heterogeneity,
- Spatial interaction: robust Interaction, interactive detector for spatial association, geographical pattern interaction,
- Geographical similarity: geographically optimal similarity,
- Geocomplexity: geocomplexity,
- Spatial graph network: geographical graph neural network, dynamic spatiotemporal graph network,
- Spatial fusion: spatial context-aware fusion,
- Spatial anisotropy: spatial irregular anisotropy,
- Spatial accessibility: D2SFCA spatiotemporal accessibility,
- Spatial decision-making: MFSD spatial decision making,
- Spatial big data: spatial big data-based city redefinition,
- Spatial path analysis: local pathways of association
- Spatial segmentation: spatial heterogeneity-based segmentation, gaussian mixture segmentation,
- Spatial trade-off: spatial trade-off relation, dynamic trade-off, spatial delta model,
- Spatial unmixing: spatio-temporal unmixing with heterogeneity
- Robust spatial models: robust geographical detector, robust interaction detector
- Advanced geographical detector models: Optimal Parameters-based Geographical Detector (OPGD), Robust Interaction Detector (RID), Local indicator of stratified power (LISP), Geographically Optimal Zones-based Heterogeneity (GOZH), Geographical Pattern Interaction (GPI), Interactive Detector for Spatial Associations (IDSA), Robust Geographical Detector (RGD), Locally explained heterogeneity model, Generalized Heterogeneity Model (GHM), Heterogeneous spatial autocorrelation (HSA)
Part I. Spatial prediction via spatial feature modeling
- Second-Dimension Spatial Association (SDA). International Journal of Applied Earth Observation and Geoinformation.
- Second-Dimension Outliers (SDO). International Journal of Geographical Information Science.
- Geographically Optimal Similarity (GOS). Mathematical Geosciences.
- Heterogeneous spatial autocorrelation (HSA). International Journal of Geographical Information Science. (Top 4 Most Read Article in the last 1 year, 2025)
- R Code for HSA model
- Geocomplexity explains spatial errors. International Journal of Geographical Information Science. (Top 30 Most Cited Article in the last 3 years, 2025; No. 1 Most Read Article, 2023)
- Generalized Heterogeneity Model (GHM). International Journal of Geographical Information Science. (Top 4 Most Cited Article in the last 3 years, 2025; Top 10 Most Read Article, 2024)
- Segment-based Regression Kriging (SRK). IEEE Transactions on Intelligent Transportation Systems. Highly Cited Paper
- Dynamic Trade-Off Model (DTOM). IEEE Transactions on Intelligent Transportation Systems. Highly Cited Paper
- Dynamic spatiotemporal graph network. GIScience & Remote Sensing.
- Geographically informed graph neural network (GIGNN). Spatial Statistics
- Spatial context-aware fusion (SCAF). International Journal of Digital Earth.
Part II. Spatial heterogeneity and driver analysis
- Optimal Parameters-based Geographical Detector (OPGD). GIScience & Remote Sensing (2020). Highly Cited Paper; No. 1 Most Cited Article in the history of the journal GIScience & Remote Sensing (over 40 years).
- Robust Interaction Detector (RID). Spatial Statistics. Highly Cited Paper
- Local indicator of stratified power (LISP). International Journal of Geographical Information Science.
- Geographically Optimal Zones-based Heterogeneity (GOZH). ISPRS Journal of Photogrammetry and Remote Sensing.
- Geographical Pattern Interaction (GPI). International Journal of Geographical Information Science. (Top 1 Most Rear Article in the last 30 days, 2025)
- Interactive Detector for Spatial Associations (IDSA). International Journal of Geographical Information Science. (No. 2 Most Cited Article, 2023)
- Robust Geographical Detector (RGD). International Journal of Applied Earth Observation and Geoinformation.
- Python Code for RGD model
- Spatial irregular anisotropy in urban heat effects. Sustainable Cities and Society
- Locally explained heterogeneity model. International Journal of Digital Earth.
- Local pathways of association (LPA). International Journal of Applied Earth Observation and Geoinformation.
- Spatial Heterogeneity-based Segmentation (SHS) for the homogeneous segmentation of line data. IEEE Transactions on Intelligent Transportation Systems.
- Wavelet Geographically Weighted Regression (WGWR). Scientific Reports.
- Spatio-temporal unmixing with heterogeneity (STUH). International Journal of Applied Earth Observation and Geoinformation.
Part III. Spatial urban methods: modeling patterns, accessibility, and decisions
- Spatial Delta Model (SDM) for quantifying the difference between access and accessibility. International Journal of Applied Earth Observation and Geoinformation
- Spatial Trade-Off Relation (STOR) for spatial quantity-quality relationship modelling. International Journal of Applied Earth Observation and Geoinformation.
- D2SFCA model for the spatiotemporal accessibility analysis. GIScience & Remote Sensing. Highly Cited Paper
- MFSD model for spatial decision making. Renewable and Sustainable Energy Reviews.
- Spatial Big Data Method for redefining cities. International Journal of Geographical Information Science.
- Gaussian Mixture Segmentation (GMS). IEEE Transactions on Intelligent Transportation Systems.
Members

Zehua Zhang
Postdoc Researcher: Curtin University
PhD: Curtin University (Chancellor Commendation Award)
Master: University of Melbourne (with Distinction)
- Robust Interaction Detector (RID). Spatial Statistics. Highly Cited Paper
- Heterogeneous spatial autocorrelation (HSA). International Journal of Geographical Information Science. (Top 4 Most Read Article in the last 1 year, 2025)
- R Code for HSA model
- Geocomplexity explains spatial errors. International Journal of Geographical Information Science. (Top 30 Most Cited Article in the last 3 years, 2025; No. 1 Most Read Article, 2023)
- Robust geographical detector (RGD). International Journal of Applied Earth Observation and Geoinformation.
- Geographically informed graph neural network (GIGNN). Spatial Statistics

Peng Luo
Postdoc Researcher: Massachusetts Institute of Technology (MIT)
PhD: Technical University of Munich
Master: Peking University
- Generalized Heterogeneity Model (GHM). International Journal of Geographical Information Science. (Top 4 Most Cited Article in the last 3 years, 2025; Top 10 Most Read Article, 2024)
- Geocomplexity explains spatial errors. International Journal of Geographical Information Science. (Top 30 Most Cited Article in the last 3 years, 2025; No. 1 Most Read Article, 2023)
- Geographically Optimal Zones-based Heterogeneity (GOZH). ISPRS Journal of Photogrammetry and Remote Sensing.
- Geographical Pattern Interaction (GPI). International Journal of Geographical Information Science. (Top 1 Most Rear Article in the last 30 days, 2025)
- Locally explained heterogeneity model. International Journal of Digital Earth.
- Spatio-temporal unmixing with heterogeneity (STUH). International Journal of Applied Earth Observation and Geoinformation.

Pengcheng Zhang
PhD Researcher: The Hong Kong Polytechnic University
- Dynamic spatiotemporal graph network. GIScience & Remote Sensing.
- Gaussian Mixture Segmentation (GMS). IEEE Transactions on Intelligent Transportation Systems.
- Geographical Pattern Interaction (GPI). International Journal of Geographical Information Science.
- Locally explained heterogeneity model. International Journal of Digital Earth.
- Local indicator of stratified power (LISP). International Journal of Geographical Information Science.
- Local pathways of association (LPA). International Journal of Applied Earth Observation and Geoinformation.

Rui Qu
Research Associate: Curtin University
PhD: Chengdu University of Technology
- Local pathways of association (LPA). International Journal of Applied Earth Observation and Geoinformation.
- Spatial irregular anisotropy in urban heat effects. Sustainable Cities and Society

Kai Ren
Research Associate: Curtin University
- Second-Dimension Outliers (SDO). International Journal of Geographical Information Science.
- Spatial irregular anisotropy in urban heat effects. Sustainable Cities and Society
Open-Source Geospatial Software (200,000+ downloads)
| Optimal Parameters-based Geographical Detectors (OPGD) for spatial factor exploration. R package “GD” | publication – Highly Cited Paper – No. 1 Most Cited Article in GIScience & Remote Sensing in 2021-2023 – No. 1 Monthly Most Cited Article in GIScience & Remote Sensing in each month since May 2023 until now (ResearchGate) | |
| Geographically Optimal Similarity (GOS) for spatial prediction. R package “geosimilarity” | publication | |
| Second-Dimension Spatial Association (SDA) for spatial prediction. R package “SecDim” | publication | |
| Geocomplexity. R package “geocomplexity” | publication | |
| Interactive Detector for Spatial Association (IDSA) for spatial factor exploration. R package “IDSA” | publication – No. 2 Most Cited Article in International Journal of Geographical Information Science (IJGIS) in 2021-2023 | |
| Homogenous Segmentation (HS) for segmenting spatial lines data. R package “HS” | publication | |
| Segment-based Kriging (SK) for spatial prediction. R package “SK” | publication – Highly Cited Paper | |
| Energy Decomposition Analysis (EDA) for analysing carbon emission factors. R package “EDA” | publication | |
| SDGdetector: Detecting Sustainable Development Goals (SDGs) in Text. R package “SDGdetector” | publication | |
| gdverse: Analysis of Spatial Stratified Heterogeneity. R package “gdverse” | publication | |
| localsp: Local Indicator of Stratified Power. R package “localsp” | publication | |
| cisp: A Correlation Indicator Based on Spatial Patterns. R package “cisp” | publication |











