The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Smooth Pycnophylactic Interpolation for Geographical Regions
Abstract
Census enumerations are usually packaged in irregularly shaped geographical regions. Interior values can be interpolated for such regions, without specification of “control points,” by using an analogy to elliptical partial differential equations. A solution procedure is suggested, using finite difference methods with classical boundary conditions. In order to estimate densities, an additional nonnegativity condition is required. Smooth contour maps, which satisfy the volume preserving and nonnegativity constraints, illustrate the method using actual geographical data. It is suggested that the procedure may be used to convert observations from one bureaucratic partitioning of a geographical area to another.
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Ramankutty, N., Evan, A. T., Monfreda, C., & Foley, J. A. (2008) · Global Biogeochemical Cycles · doi:10.1029/2007gb002952 · Cited by 1,942
Spatial data analysis: theory and practice
(2004) · Choice Reviews Online · doi:10.5860/choice.41-3486 · Cited by 965
A Framework for the Areal Interpolation of Socioeconomic Data
Goodchild, M. F., Anselin, L., & Deichmann, U. (1993) · Environment and Planning A: Economy and Space · doi:10.1068/a250383 · Cited by 417
Lee, B. A., Reardon, S. F., Firebaugh, G., Farrell, C. R., Matthews, S. A., & O'Sullivan, D. (2008) · American Sociological Review · doi:10.1177/000312240807300504 · Cited by 373
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Stanley, K., Yoo, E.-H., Paul, T., & Bell, S. (2018) · International Journal of Geographical Information Science · doi:10.1080/13658816.2018.1434888 · Cited by 42
Metadata
- Authors
- Tobler, W. R.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1979-09
- Volume
- 74
- Issue
- 367
- Pages
- 519-530
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2021563159
- Cited by
- 678
- References
- 29
- FWCI
- 12.22
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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