The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Spatial Entropy
Open accessAbstract
A major problem in information theory concerns the derivation of a continuous measure of entropy from the discrete measure. Many analysts have shown that Shannon's treatment of this problem is incomplete, but few have gone on to rework his analysis. In this paper, it is suggested that a new measure of discrete entropy which incorporates interval size explicitly is required; such a measure is fundamental to geography and this statistic has been called spatial entropy. The use of the measure is first illustrated by application to one‐and two‐dimensional aggregation problems, and then the implications of this statistic for Wilson's entropy‐maximizing method are traced. Theil's aggregation statistic is reinterpreted in spatial terms, and finally, some heuristics are suggested for the design of real and idealized spatial systems in which entropy is at a maximum.
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Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
Hierarchical Grouping to Optimize an Objective Function
Ward, J. H. (1963) · Journal of the American Statistical Association · doi:10.1080/01621459.1963.10500845 · Cited by 20,598
Information theory and statistical mechanics
Jaynes, E. T. (1957) · Physical Review · doi:10.1103/physrev.106.620 · Cited by 12,931
The Entropy Law and the Economic Process
Georgescu-Roegen, N. (1971) · Harvard University Press eBooks · doi:10.4159/harvard.9780674281653 · Cited by 4,866
The Entropy Law and the Economic Process.
Green, M. J., & Georgescu-Roegen, N. (1973) · The Economic Journal · doi:10.2307/2231206 · Cited by 2,985
Economics and Information Theory
Sastry, M. V. R., & Theil, H. (1969) · Econometrica · doi:10.2307/1912805 · Cited by 2,117
Hartley, R. V. L. (1928) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1928.tb01236.x · Cited by 1,828
Jaynes, E. (1968) · IEEE Transactions on Systems Science and Cybernetics · doi:10.1109/tssc.1968.300117 · Cited by 1,750
Probability and Information Theory with Applications to Radar
(1953) · Elsevier eBooks · doi:10.1016/c2013-0-05390-x · Cited by 1,283
Entropy in urban and regional modelling
Wilson, A. (2021) · Handbook on Entropy, Complexity and Spatial Dynamics · doi:10.4337/9781839100598.00009 · Cited by 1,252
Cited by
The Modifiable Areal Unit Problem in Multivariate Statistical Analysis
Fotheringham, A. S., & Wong, D. W. S. (1991) · Environment and Planning A: Economy and Space · doi:10.1068/a231025 · Cited by 1,540
Pallotta, G., Vespe, M., & Bryan, K. (2013) · Entropy · doi:10.3390/e15062218 · Cited by 695
Entropy in Urban and Regional Modelling: Retrospect and Prospect. 城市和区域建模中的熵:回顾与展望
Wilson, A. (2010) · Geographical Analysis · doi:10.1111/j.1538-4632.2010.00799.x · Cited by 147
Metadata
- Authors
- Batty, M.
- Venue
- Geographical Analysis
- Publisher
- Wiley
- Published
- 1974-01
- Volume
- 6
- Issue
- 1
- Pages
- 1-31
- ISSN
- 0016-7363 (ISSN-L)
- 1538-4632
- OpenAlex
- W3190894976
- Cited by
- 257
- References
- 17
- FWCI
- 26.36
- Type
- journal article
- Language
- en
- Open access
- bronze
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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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