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Spatial indices for measuring three-dimensional patterns in a voxel-based space

Author

Listed:
  • Anthony Jjumba

    (Simon Fraser University)

  • Suzana Dragićević

    (Simon Fraser University)

Abstract

Spatial indices are used to quantitatively describe the spatial arrangements of the features within a study region. However, most of the indices used are two-dimensional in their representation of the surface characteristics, and this is insufficient to quantify the three-dimensional properties of an area or geospatial features. With the increased availability of 3D data from laser scanning and other collection methods, a voxel-based representation of space is an important methodology that allows for an intuitive visualization of geospatial features and their analysis with 3D GIS techniques. The objective of this study is to conceptualize, develop, and implement indices that can characterize three-dimensional space and can be used to analyze the structure of spatial features in a landscape. The indices for three-dimensional space that are implemented are, namely, surface area volume, fractal dimension, lacunarity, and Moran’s I which are all useful in the quantification of spatial organization found in ecological landscapes. In addition to providing the quantitative descriptors, the results indicate that a voxel-based representation provides a straightforward means of characterizing the form and composition of the spatial features using 3D indices.

Suggested Citation

  • Anthony Jjumba & Suzana Dragićević, 2016. "Spatial indices for measuring three-dimensional patterns in a voxel-based space," Journal of Geographical Systems, Springer, vol. 18(3), pages 183-204, July.
    • Handle: RePEc:kap:jgeosy:v:18:y:2016:i:3:d:10.1007_s10109-016-0231-0
    DOI: 10.1007/s10109-016-0231-0
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    References listed on IDEAS

    as
    1. Manuel Ruiz & Fernando López & Antonio Páez, 2010. "Testing for spatial association of qualitative data using symbolic dynamics," Journal of Geographical Systems, Springer, vol. 12(3), pages 281-309, September.
    2. Daniel A. Griffith, 2000. "A linear regression solution to the spatial autocorrelation problem," Journal of Geographical Systems, Springer, vol. 2(2), pages 141-156, July.
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    Cited by:

    1. Yingxue Rao & Jiang Zhou & Min Zhou & Qingsong He & Jiayu Wu, 2020. "Comparisons of three‐dimensional urban forms in different urban expansion types: 58 sample cities in China," Growth and Change, Wiley Blackwell, vol. 51(4), pages 1766-1783, December.
    2. Olympia Koziatek & Suzana Dragićević, 2019. "A local and regional spatial index for measuring three-dimensional urban compactness growth," Environment and Planning B, , vol. 46(1), pages 143-164, January.

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    More about this item

    Keywords

    Spatial indices; Voxel-based space; 3D; Spatial pattern in 3D; Geographic surface structure; GIS;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C39 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Other
    • Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics

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