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A New Statistical Approach to Geographic Variation Analysis
Abstract
The authors discuss the problems of describing geographic variation data and develop statistical methods for categorizing sets of populations sampled from different localities. The general approach of the simultaneous test procedures, available with a variety of statistical tests and for continuous as well as for categorical data, is employed with these techniques. Geographical regions are defined as sets of connected localities, with connectedness being defined geometrically. Maximal acceptable connected sets of localities (defined as regions) or coarsest acceptable connected partitions of the entire set of localities are found by these procedures. These are illustrated with several examples.
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The Gabriel Graph minimises the spatial density of connected nodes and produces even sparser results than a Delaunay triangulation.
“The Gabriel Graph is a model that minimises the spatial density of connected nodes.It does not require any parameters and produces even sparser results than a Delaunay triangulation.”
From Exploratory network reconstruction with sparse archaeological data and XTENT (2022) · cites this paper as Gabriel and Sokal, 1969
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Deep profiling of mouse splenic architecture with CODEX multiplexed imaging
Goltsev, Y., Samusik, N., Kennedy-Darling, J., Bhate, S., Hale, M., Vazquez, G., Black, S., & Nolan, G. P. (2018) · Cell · doi:10.1016/j.cell.2018.07.010 · Cited by 1,501
“Pairwise and Combinatorial (i-niches) Statistics of Cellto-Cell Contacts in Mouse Spleen To provide a high-level view of the cell-type interaction landscape, the total counts of contacts between every pair of cell types in the Delaunay neighborhood graph (Gabriel and Sokal, 1969) (Figure 4A and associated Mendeley dat…”
In toto imaging and reconstruction of post-implantation mouse development at the single-cell level
McDole, K., Guignard, L., Amat, F., Berger, A., Malandain, G., Royer, L. A., Turaga, S. C., Branson, K., & Keller, P. J. (2018) · Cell · doi:10.1016/j.cell.2018.09.031 · Cited by 522
Exploratory network reconstruction with sparse archaeological data and XTENT
Ducke, B., & Suchowska, P. (2022) · Journal of Archaeological Method and Theory · doi:10.1007/s10816-021-09529-3 · Cited by 12
Metadata
- Authors
- Gabriel, K. R., & Sokal, R. R.
- Venue
- Systematic Zoology
- Publisher
- Oxford University Press (OUP)
- Published
- 1969-09
- Volume
- 18
- Issue
- 3
- Pages
- 259
- ISSN
- 0039-7989
- Cited by
- 854
- References
- 0
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