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Articles

Calibrating Spatial Stratified Heterogeneity for Heavy-Tailed Distributed Data

ORCID Icon, , , ORCID Icon, ORCID Icon &
Received 28 Nov 2023, Accepted 29 Mar 2024, Published online: 18 Jun 2024

References

  • Anselin, L. 1995. Local indicators of spatial association—LISA. Geographical Analysis 27 (2):93–115. doi: 10.1111/j.1538-4632.1995.tb00338.x.
  • Cao, F., Y. Ge, and J. Wang. 2013. Optimal discretization for geographical detectors-based risk assessment. GIScience and Remote Sensing 50:78–92. doi: 10.1080/15481603.2013.778562.
  • Cao, F., Y. Ge, and J. Wang. 2014. Spatial data discretization methods for geocomputation. International Journal of Applied Earth Observation and Geoinformation 26:432–40. doi: 10.1016/j.jag.2013.09.005.
  • Chen, Z., B. Yu, C. Yang, Y. Zhou, S. Yao, X. Qian, C. Wang, B. Wu, and J. Wu. 2021. An extended time series (2000–2018) of global NPP-VIIRS-like nighttime light data from a cross-sensor calibration. Earth System Science Data 13 (3):889–906. doi: 10.5194/essd-13-889-2021.
  • Clauset, A., C. R. Shalizi, and M. E. J. Newman. 2009. Power-law distributions in empirical data. SIAM Review 51 (4):661–703. doi: 10.1137/070710111.
  • Fang, C., B. Pang, and H. Liu. 2017. Global city size hierarchy: Spatial patterns, regional features, and implications for China. Habitat International 66:149–62. doi: 10.1016/j.habitatint.2017.06.002.
  • Fisher, W. D. 1958. On grouping for maximum homogeneity. Journal of the American Statistical Association 53 (284):789–98. doi: 10.1080/01621459.1958.10501479.
  • Gao, B.-B., J.-F. Wang, H.-M. Fan, K. Xu, M.-G. Hu, and Z.-Y. Chen. 2015. A stratified optimization method for a multivariate marine environmental monitoring network in the Yangtze River estuary and its adjacent sea. International Journal of Geographical Information Science 29 (8):1332–49. doi: 10.1080/13658816.2015.1024254.
  • Gao, F., S. Li, Z. Tan, Z. Wu, X. Zhang, G. Huang, and Z. Huang. 2021. Understanding the modifiable areal unit problem in dockless bike sharing usage and exploring the interactive effects of built environment factors. International Journal of Geographical Information Science 35 (9):1905–25. doi: 10.1080/13658816.2020.1863410.
  • Goodchild, M. F. 2004. The validity and usefulness of laws in geographic information science and geography. Annals of the Association of American Geographers 94 (2):300–03. doi: 10.1111/j.1467-8306.2004.09402008.x.
  • Guo, J., J. Wang, C. Xu, and Y. Song. 2022. Modeling of spatial stratified heterogeneity. GIScience & Remote Sensing 59 (1):1660–77. doi: 10.1080/15481603.2022.2126375.
  • Hu, B., S. Fu, J. Luo, H. Lin, Q. Yin, V. Tao, B. Jiang, L. Zuo, and Y. Meng. 2023. Geographical detector-based assessment of multi-level explanatory powers of determinants on China’s medical-service resumption during the COVID-19 epidemic. Environment and Planning B: Urban Analytics and City Science 50 (7):1739–58. doi: 10.1177/23998083221143122.
  • Hu, B., P. Ning, Y. Li, C. Xu, G. Christakos, and J. Wang. 2021. Space-time disease mapping by combining Bayesian maximum entropy and Kalman filter: The BME-Kalman approach. International Journal of Geographical Information Science 35 (3):466–89. doi: 10.1080/13658816.2020.1795177.
  • Hu, B., P. Ning, J. Qiu, V. Tao, A. T. Devlin, H. Chen, J. Wang, and H. Lin. 2021. Modeling the complete spatiotemporal spread of the COVID-19 epidemic in mainland China. International Journal of Infectious Diseases 110:247–57. doi: 10.1016/j.ijid.2021.04.021.
  • Hu, B., J. Qiu, H. Chen, V. Tao, J. Wang, and H. Lin. 2020. First, second and potential third generation spreads of the COVID-19 epidemic in mainland China: An early exploratory study incorporating location-based service data of mobile devices. International Journal of Infectious Diseases 96:489–95. doi: 10.1016/j.ijid.2020.05.048.
  • Hu, B., L. Zou, S. Qi, Q. Yin, J. Luo, L. Zuo, and Y. Meng. 2022. Evaluating the vulnerability of Siberian crane habitats and the influences of water level intervals in Poyang Lake Wetland, China. Remote Sensing 14 (12):2774. doi: 10.3390/rs14122774.
  • Jenks, G. F., and F. C. Caspall. 1971. Error on choroplethic maps: Definition, measurement, reduction. Annals of the Association of American Geographers 61 (2):217–44. doi: 10.1111/j.1467-8306.1971.tb00779.x.
  • Jiang, B. 2013. Head/tail breaks: A new classification scheme for data with a heavy-tailed distribution. The Professional Geographer 65 (3):482–94. doi: 10.1080/00330124.2012.700499.
  • Jiang, B. 2015a. Geospatial analysis requires a different way of thinking: The problem of spatial heterogeneity. GeoJournal 80 (1):1–13. doi: 10.1007/s10708-014-9537-y.
  • Jiang, B. 2015b. Head/tail breaks for visualization of city structure and dynamics. Cities 43:69–77. doi: 10.1016/j.cities.2014.11.013.
  • Jiang, B. 2015c. Wholeness as a hierarchical graph to capture the nature of space. International Journal of Geographical Information Science 29 (9):1632–48. doi: 10.1080/13658816.2015.1038542.
  • Jiang, B. 2019. A recursive definition of goodness of space for bridging the concepts of space and place for sustainability. Sustainability 11 (15):4091. doi: 10.3390/su11154091.
  • Jiang, B., and S. A. Brandt. 2016. A fractal perspective on scale in geography. ISPRS International Journal of Geo-Information 5 (6):95. doi: 10.3390/ijgi5060095.
  • Jiang, B., and C. de Rijke. 2021. Structural beauty: A structure-based computational approach to quantifying the beauty of an image. Journal of Imaging 7 (5):78. doi: 10.3390/jimaging7050078.
  • Jiang, B., and C. de Rijke. 2022. Representing geographic space as a hierarchy of recursively defined subspaces for computing the degree of order. Computers, Environment and Urban Systems 92:101750. doi: 10.1016/j.compenvurbsys.2021.101750.
  • Jiang, B., and J.-T. Huang. 2021. A new approach to detecting and designing living structure of urban environments. Computers, Environment and Urban Systems 88:101646. doi: 10.1016/j.compenvurbsys.2021.101646.
  • Jiang, B., and J. Yin. 2014. Ht-index for quantifying the fractal or scaling structure of geographic features. Annals of the Association of American Geographers 104 (3):530–40. doi: 10.1080/00045608.2013.834239.
  • Li, J., C. Xu, M. Chen, and W. Sun. 2019. Balanced development: Nature environment and economic and social power in China. Journal of Cleaner Production 210:181–89. doi: 10.1016/j.jclepro.2018.10.293.
  • Li, L., J. Wang, Z. Cao, and E. Zhong. 2008. An information-fusion method to identify pattern of spatial heterogeneity for improving the accuracy of estimation. Stochastic Environmental Research and Risk Assessment 22 (6):689–704. doi: 10.1007/s00477-007-0179-1.
  • Liao, Y., D. Li, N. Zhang, C. Xia, R. Zheng, H. Zeng, S. Zhang, J. Wang, and W. Chen. 2019. Application of sandwich spatial estimation method in cancer mapping: A case study for breast cancer mortality in the Chinese mainland, 2005. Statistical Methods in Medical Research 28 (12):3609–26. doi: 10.1177/0962280218811344.
  • Liu, T., J. Wang, C. Xu, J. Ma, H. Zhang, and C. Xu. 2018. Sandwich mapping of rodent density in Jilin Province, China. Journal of Geographical Sciences 28 (4):445–58. doi: 10.1007/s11442-018-1483-z.
  • Luo, P., Y. Song, D. Zhu, J. Cheng, and L. Meng. 2022. A generalized heterogeneity model for spatial interpolation. International Journal of Geographical Information Science 37 (3):1–26. doi: 10.1080/13658816.2022.2147530.
  • Matheron, G. 1963. Principles of geostatistics. Economic Geology 58 (8):1246–66. doi: 10.2113/gsecongeo.58.8.1246.
  • Moran, P. A. P. 1950. Notes on continuous stochastic phenomena. Biometrika 37 (1–2):17–23. doi: 10.1093/biomet/37.1-2.17.
  • Song, Y., J. Wang, Y. Ge, and C. Xu. 2020. An optimal parameters-based geographical detector model enhances geographic characteristics of explanatory variables for spatial heterogeneity analysis: Cases with different types of spatial data. GIScience & Remote Sensing 57 (5):593–610. doi: 10.1080/15481603.2020.1760434.
  • Tobler, W. R. 1970. A computer movie simulating urban growth in the Detroit region. Economic Geography 46:234. doi: 10.2307/143141.
  • Wang, J., B. Gao, and A. Stein. 2020. The spatial statistic trinity: A generic framework for spatial sampling and inference. Environmental Modelling & Software 134:104835. doi: 10.1016/j.envsoft.2020.104835.
  • Wang, J.-F., R. Haining, T.-J. Liu, L.-F. Li, and C.-S. Jiang. 2013. Sandwich estimation for multi-unit reporting on a stratified heterogeneous surface. Environment and Planning A: Economy and Space 45 (10):2515–34. doi: 10.1068/a44710.
  • Wang, J., R. Haining, T. Zhang, C. Xu, M. Hu, Q. Yin, L. Li, C. Zhou, G. Li, and H. Chen. 2024. Statistical modeling of spatially stratified heterogeneous data. Annals of the American Association of Geographers 114 (3):499–519. doi: 10.1080/24694452.2023.2289982.
  • Wang, J., X. Li, G. Christakos, Y. Liao, T. Zhang, X. Gu, and X. Zheng. 2010. Geographical detectors-based health risk assessment and its application in the neural tube defects study of the Heshun Region, China. International Journal of Geographical Information Science 24 (1):107–27. doi: 10.1080/13658810802443457.
  • Wang, J., T. Zhang, and B. Fu. 2016. A measure of spatial stratified heterogeneity. Ecological Indicators 67:250–56. doi: 10.1016/j.ecolind.2016.02.052.
  • Yang, J., J. Wang, X. Liao, H. Tao, and Y. Li. 2022. Chain modeling for the biogeochemical nexus of cadmium in soil–rice–human health system. Environment International 167:107424. doi: 10.1016/j.envint.2022.107424.
  • Yin, Q., J. Wang, Z. Ren, J. Li, and Y. Guo. 2019. Mapping the increased minimum mortality temperatures in the context of global climate change. Nature Communications 10 (1):4640. doi: 10.1038/s41467-019-12663-y.
  • Zhang, L., W. Liu, K. Hou, J. Lin, C. Song, C. Zhou, B. Huang, X. Tong, J. Wang, W. Rhine, et al. 2019. Air pollution exposure associates with increased risk of neonatal jaundice. Nature Communications 10 (1):3741. doi: 10.1038/s41467-019-11387-3.

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