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Cited by 678

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

Tobler, Waldo R.·1979·Journal of the American Statistical Association

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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Crossref · 10.1080/01621459.1979.10481647

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Metadata

Authors
Tobler, W. R.
Venue
Journal of the American Statistical Association
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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CoChat. (2026). Citation check: Smooth Pycnophylactic Interpolation for Geographical Regions. https://app.cochat.ai/papers/10.1080/01621459.1979.10481647
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Tobler, W. R. (1979). Smooth Pycnophylactic Interpolation for Geographical Regions. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1979.10481647

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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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