Spectral techniques in spatial analysis

Forest Ecology and Management

Volumn 94, Issue 1-3, 1997, Pages 165-174

  Renshaw, Eric ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Cartesian spectrum; Clustering; Inhibition; Polar spectrum; Spatial randomness; Species invasion; Spectral tests

Indexed keywords

CLUSTERING; METHODOLOGY; SPATIAL PATTERN; SPECTRAL TECHNIQUE;

EPILOBIUM; ONAGRACEAE; PINACEAE; PINUS SYLVESTRIS; PINUS THUNBERGII; SEQUOIA SEMPERVIRENS; TAXODIACEAE;

EID: 0030613053     PISSN: 03781127     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-1127(96)03977-1     Document Type: Article

References (28)

1. Bartlett, M.S., 1964. The spectral analysis of two-dimensional point processes. Biometrika, 51: 299-311.
2. Bartlett, M.S., 1975. The Statistical Analysis of Spatial Pattern. Chapman and Hall, London.
3. Bell, A.D. and Tomlinson, P.B., 1980. Adaptive architecture in rhizomatous plants. Bot. J. Linn. Soc., 80: 125-160.
4. Brünig, E.F., 1966. Der Heidewald von Sarawak und Brunei - eine Studie seiner Vegetation und Ökologien. Habil. Thesis, University of Hamburg, 136 pp.
5. Cochrane, L.A. and Ford, E.D., 1978. Growth of a sitka spruce plantation: analysis and stochastic description of the development of the branching structure. J. Appl. Ecol., 15: 227-244.
6. Diggle, P.J., 1983. Statistical Analysis of Spatial Point Patterns. Academic Press, London.
7. Fisher, R.A., 1929. Tests of significance in harmonic analysis. Proc. R. Soc. Edin. A, 125: 54-59.
8. Ford, E.D., 1976. The canopy of a Scots pine forest: description of a surface of complex roughness. Agric. Met., 17: 9-32.
9. Ford, E.D. and Renshaw, E., 1984. The interpretation of process from pattern using two-dimensional spectral analysis: modelling single species patterns in vegetation. Vegetatio, 56: 113-123.
10. McBratney, A.B. and Webster, R., 1981. Detection of ridge and furrow pattern by spectral analysis of crop yield. Int. Stat. Rev., 49: 45-52.
11. Mercer, W.B. and Hall, A.D., 1911. The experimental error of field trials. J. Agric. Sci., 4: 107-132.
12. Mugglestone, M.A., 1990. Spectral Analysis of Spatial Processes. Ph.D. Thesis (unpublished), University of Edinburgh.
13. Mugglestone, M.A. and Renshaw, E., 1996a. A practical guide to the spectral analysis of spatial point processes Comp. Stats. Data Anal. 21: 43-65.
14. Mugglestone, M.A. and Renshaw, E., 1996b. The exploratory analysis of bivariate spatial point patterns using cross-spectra Environments, 7: 361-377.
15. Mugglestone, M.A. and Renshaw, E., 1997. Spectral tests for randomness of spatial point patterns (submitted for publication).
16. Newbery, D. McC., Renshaw, E. and Brünig, E.F., 1986. Spatial pattern of trees in kerangas forest, Sarawak. Vegetatio, 65: 77-89.
17. Priestley, M.B., 1964. The analysis of two-dimensional stationary processes with discontinuous spectra. Biometrika, 51: 195-217.
18. Rabiner, L.R. and Gold, B., 1975. Theory and Application of Digital Signal Processing. Prentice-Hall, New Jersey.
19. Raupach, M.R., 1979. Anomalies In Flux-Gradient Relationships over Forest. Boundary-Layer Meteorol., 16: 467-486.
20. Renshaw, E., 1984. Competition experiments for light in a plant monoculture: an analysis based on two-dimensional spectra. Biometrics, 40: 717-728.
21. Renshaw, E., 1991. Modelling Biological Populations in Space and Time. Cambridge University Press.
22. Renshaw, E., 1994. The linear spatial-temporal interaction process and its relation to 1 / ω-noise. J. R. Stat. Soc. B, 56: 75-91.
23. Renshaw, E. and Ford, E.D., 1983. The interpretation of process from pattern using two-dimensional spectral analysis. Appl. Stat., 32: 51-63.
24. Renshaw, E. and Ford, E.D., 1984. The description of spatial pattern using two-dimensional spectral analysis. Vegetatio, 56: 75-85.
25. Ripley, B.D., 1977. Modelling Spatial Patterns (with discussion). J. Roy. Stat. Soc., B, 39: 172-212.
26. Routledge, R.D., 1987. Rhizome architecture for dispersal in Eleocharis palustris. Can. J. Bot., 65: 1218-23.
27. Siegel, A.F., 1980. Testing for periodicity in a time series. J. Am. Stat. Assoc., 75: 345-348.
28. Strauss, D.J., 1975. A Model for Clustering. Biometrika, 62: 467-475.