Vegetation dynamics in grasslans, healthlands and mediterranean ligneous formations pp 177-180 | Cite as
The spatial autocorrelation matrix
Chapter
Abstract
Among the numerous approaches proposed for the analysis of spatial processes, the autocorrelation index (Geary, 1954) introduced by Cliff & Ord (1973) possesses remarkable properties. For any given variable (presence/absence, cover, quantitative measures of abundance) and random distribution of sampling points in space, this index tests the null hypothesis of absence of correlation for values recorded at two neighbouring points, using a non parametric model for equiprobability of N ! attributions of N numerical values at N sampling points.
Keywords
Spatial Pattern Spatial Autocorrelation Neighbouring Point Plant Pattern Contiguity Relationship
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- Chessel, D., 1978. Description non paramétrique de la dispersion spatiale des individus d’une espèce. In: Biométrie et Ecologie, Legay J. M. & R. Tomassone éd. Soc. fr. Biométrie, Paris, 45–135.Google Scholar
- Chessel, D. & Croze, J. P., 1978. Un indice de dispersion pour les mesures de présence-absence: application à la répartition des animaux et des plantes. Bull. Ecol. 9: 19–28.Google Scholar
- Cliff, A. D. & Ord, J. K., 1973. Spatial autocorrelation. Pion, London, 178 p.Google Scholar
- Geary, R. C., 1954. The contiguity ratio and statistical mapping. Incorporated Statistician 5: 115–145.CrossRefGoogle Scholar
- Goodall, D. W., 1974. A new method for the analysis of spatial pattern by random pairing of quadrats. Vegetatio 29: 135–146.CrossRefGoogle Scholar
- Greig-Smith, P., 1952. The use of random and contiguous quadrats in the study of plant communities. Ann. Bot. N. S. 16: 293–316.Google Scholar
- Gros, G., 1978. Structure et échantillonnage des peuplements spontanés des framboisiers (Rubus idaeus L.) dans les Vosges. 3 rd cycle thesis, INRA, Colmar, 60 p.Google Scholar
- Hill, M. O., 1973. The intensity of spatial pattern in plant communities. J. Ecol. 61: 225–235.CrossRefGoogle Scholar
- Kershaw, K. A., 1957. The use of cover and frequency in the detection of pattern in plant communities. Ecology 38: 291–299.CrossRefGoogle Scholar
- Ludwig, J. A., 1979. A test of different quadrat variance methods for the analysis of spatial pattern. In: Spatial and Temporal analysis in Ecology, Cormack R. M. & J. K. Ord ed., international cooperative Publishing House, Fairland, 289–304.Google Scholar
- Matheron, G., 1965. Les variables régionalisées et leur estimation. Masson, Paris, 305 p.Google Scholar
- Mead, R., 1974. A test for spatial pattern at several scales using data from a grid of contiguous quadrats. Biometrics 30: 295–307.CrossRefGoogle Scholar
- Thompson, H. R., 1958. The statistical study of plant distribution patterns using a grid of quadrats. Austr. J. Bot. 6: 322–342.CrossRefGoogle Scholar
- Walter, S. D., 1974. On the detection of household aggregation of disease. Biometrics 30: 525–538.PubMedCrossRefGoogle Scholar
- Zahl, S., 1974. Application of the S-method to the analysis of spatial pattern. Biometrics 30: 513–524.PubMedCrossRefGoogle Scholar
Copyright information
© Dr W. Junk Publishers, The Hague 1981