Summary
Multivariate techniques can be applied to both the static approach to succession (determining trends from data collected at one time) and the dynamic approach (observing actual change following perturbation). Such applications, which are few in number, are reviewed; and two studies are described in more detail: a numerical analysis of Australian rain-forest succession by Williams et al. (1969b), and a study of lawn succession as influenced by shading and trampling effects, by the author. Complex data embodying threefold relationships (sites × times × species) are shown to be amenable to multivariate analyses, and to representation of successional change by trajectories in an ordination field. Multivariate approaches have advantage over classificatory approaches for the description and understanding of interactions between spatial pattern, and change through time. Problems of experimental design and modelling for such studies are discussed.
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References
Allen, T. F. H. & J. F. Koonce. 1973. Multivariate approaches to algal stratagems and tactics in systems analysis of phytoplankton. Ecology. 54(6): 1234–1246.
Austin, M. P. 1968. Pattern in a Zerna erecta dominated community. J. Ecol. 56: 197–218.
Austin, M. P. 1971. Role of regression analysis in plant ecology. Proc. Ecol. Soc. Aust. 6: 63–75.
Austin, M. P. 1972. Models and analysis of descriptive vegetation data. In: Mathematical Models in Ecology (ed. J. Jeffers). Brit. Ecol. Soc. Symp. 12: 61–86. Blackwell, London.
Austin, M. P. 1976a. On non-linear species response models in ordination. Vegetatio 33: 33–41.
Austin, M. P. 1976b. Performance of four ordination techniques assuming three different non-linear species response models. Vegetatio 33: 43–49.
Austin, M. P. & I. Noy-Meir. 1971. The problem of non-linearity in ordination: experiments with two-gradient models. J. Ecol. 59: 763–773.
Birks, H. J. B. 1974. Numerical zonations of Flandarian pollen data. New Phytol. 73: 351–358.
Bray, J. R. & J. T. Curtis. 1957. An ordination of upland forest communities of southern Wisconsin. Ecol. Monogr. 27: 325–349.
Clifford, H. T. & W. Stephenson. 1975. An Introduction to Numerical Classification. Academic Press, New York, 229 pp.
Connell, J. H. & R. Slatyer. 1977. Mechanisms of succession in natural communities and their role in community stability and organisation. Amer. Nat. 111 (in press).
Curtis, J. T. & R. P. McIntosh. 1951. An upland forest continuum in the prairie-forest border region of Wisconsin. Ecology 32: 476–496.
Dale, M. B. 1975. On objectives of methods of ordination. Vegetatio 30: 15–32.
Dale, M. B., P. MacNaughton-Smith, W. T. Williams & G. N. Lance. 1970. Numerical classification of sequences. Aust. Comput. J. 2: 9–13.
Dale, M. B. & D. A. Walker. 1970. Information analysis of pollen diagrams I. Pollen Spores 12: 21–37.
Goff, P. G. 1968. Use of size statification and differential weighting to measure forest trends. Amer. Midl. Nat. 79: 402–418.
Goff, P. G. & P. H. Zedler. 1968. Structural gradient analysis of upland forest in the Western Great Lakes Area. Ecol. Monogr. 38: 65–86.
Goff, P. G. & P. H. Zedler. 1972. Derivation of species succession vectors. Amer. Midl. Nat. 87: 397–412.
Gordon, A. D. 1974. Numerical methods in Quaternary paleoecology III. Sequential sampling strategies. New Phytol. 73: 781.
Gordon, A. D. & H. J. B. Birks. 1972. Numerical methods in Quaternary palaeoecology I. Zonation of pollen diagram. New Phytol. 71: 961–79.
Gordon, A. D. & H. J. B. Birks. 1974. Numerical methods in Quaternary paleoecology II. Comparison of pollen diagrams. New Phytol. 73: 221–249.
Greig-Smith, P. 1964. Quantitative Plant Ecology (2nd ed.). Butterworths, London. 256 pp.
Greig-Smith, P. 1969. Analysis of vegetation data: the user viewpoint. In: Statistical Ecology III. Many species populations, ecosystems and system analysis. (eds. G. P. Patil, E. C. Pielou & W. E. Waters), pp. 149–162. Penn. State Univ. Press, London.
Habeck, J. R. 1968. Forest succession in the Glacier Park cedar-hemlock forests. Ecology 49: 872–880.
Hopkins, D. 1968. Vegetation of the Olokemeji Forest Reserve. Nigeria. J. Ecol. 56: 97–115.
Horn, H. S. 1975. Markovian properties of forest succession. In: Ecology and Evolution of Communities, (eds. M. L. Cody & J. M. Diamond), pp. 196–211. Harvard University Press, Cambridge, Mass.
Itow, S. 1963. Grassland vegetation in uplands of Western Honshu, Japan. II. Succession and grazing indicators. Jap. J. Bot. 18(2): 133–167.
Knapp, R. (ed.). 1974. Handbook of Vegetation Science. Chapter 8. Vegetation Dynamics. Junk, The Hague. 364 pp.
Maarel, E. van der. 1969. On the use of ordination models in phytosociology. Vegetatio 19: 21–46.
McIntosh, R. P. 1967. The continuum concept of vegetation. Bot. Rev. 33: 130–187.
Major, J. 1974. Differences in duration of successional seres. In: Vegetation Dynamics (R. Knapp, ed.). Handb. Veget. Sci. 8: 133–139. Junk, The Hague.
Norris, J. M. & M. B. Dale. 1971. Transition matrix approach to numerical classification of soil profiles. Proc. Soil Sci. Soc. Am. 35: 487.
Noy-Meir, I. 1974. Catenation: quantitative methods for the definition of coenoclines. Vegetatio 29: 89–99.
Noy-Meir, I. & D. J. Anderson. 1971. Multiple pattern analysis or multiscale ordination: pathway to a vegetation hologram. In: Statistical Ecology III. Many Species Populations, Ecosystems and Systems Analysis (eds. G. P. Patil, E. C. Pielou & W. E. Waters), pp. 207–232. Pennsylvania State Univ. Press. London.
Noy-Meir, I. & R. H. Whittaker, 1977a. Continuous multivariate methods in community analysis: some problems and developments. Vegetatio 33: 79–98.
Noy-Meir, I. & R. H. Whittaker. 1977b. Recent development in continuous multivariate techniques. In: Ordination of Plant Communities (ed. R. H. Whittaker). Junk, The Hague (in press).
Orlóci, L. 1966. Geometric models in ecology. I. The theory and application of some ordination methods. J. Ecol. 54: 193–215.
Orlóci, L. 1967. An agglomerative method for classification of plant communities. J. Ecol. 55: 193–206.
Orlóci, L. 1975. Multivariate Analysis in Vegetation Research. Junk, The Hague. 276 pp.
Pennington, W. & M. J. Sackin. 1975. An application of principal components analysis to the zonation of two Late Devonian profiles. New Phytol. 75: 419–453.
Rabotnov, T. A. 1974. Differences between fluctuations and successions. In: Vegetation Dynamics (ed. R. Knapp). Handb. Veget. Sci. 8: 19–24. Junk, The Hague.
Rochow, J. J. 1972. A vegetational description of a Mid-Missouri forest using gradient analysis techniques. Amer. Midl. Nat. 88: 377–396.
Shugart, H., D. Crow & J. Hett. 1973. Forest succession models, rationale and methodology for modelling forest succession over large regions. Forest Sci. 19: 203–212.
Spenceley, A. P. 1973. The effect of the stratification of vegetation on the analysis of successional data. J. Ecol. 61: 767–774.
Walker, D. A. 1971. Quantification in historical plant ecology. Proc. Ecol. Soc. Aust. 6: 91–104.
Watt, A. S. 1947. Pattern and process in the plant community. J. Ecol. 35: 1–22.
Webb, L. J., J. C. Tracey & W. T. Williams. 1972. Regeneration and pattern in sub-tropical rain forest. J. Ecol. 60: 675–696.
Webb, L. J., J. C. Tracey, W. T. Williams & Lance. 1971. Prediction of agricultural potential from intact forest vegetation. J. Appl. Ecol. 3: 99–121.
Whittaker, R. H. 1967. Gradient analysis of vegetation. Biol. Rev. 49: 201–264.
Whittaker, R. H. (ed.). 1973. Handbook of Vegetation Science, Part V. Ordination and Classification of Communities. Junk, The Hague. 737 pp.
Whittaker, R. H. 1975. Communities and Ecosystems. (2nd ed.). Macmillan, New York. 385 pp.
Whittaker, R. H. & H. G. Gauch. 1973. Evaluation of ordination techniques. In: Ordination and Classification of Communities (ed. R. H. Whittaker). Handb. Veget. Sci. 5: 289–321. Junk, The Hague.
Williams, W. T. (ed.). 1976. Pattern Analysis in Agricultural Science. CSIRO, Melbourne. 331 pp.
Williams, W. T., M. B. Dale & G. N. Lance. 1971. Two outstanding ordination problems. Aust. J. Bot. 19: 251–258.
Williams, W. T. & J. M. Lambert. 1960. Multivariate methods in plant ecology. II. The use of an electronic digital computer for association analysis. J. Ecol. 48: 689–710.
Williams, W. T. & G. N. Lance. 1968a. Choice of strategy in the analysis of complex data. Statistician 18: 31–44.
Williams, W. T. & G. N. Lance. 1968b. Application of computer classification techniques to problems in land survey. Bull. Inst. Int. Statist. 42: 345–355.
Williams, W. T., G. N. Lance, L. J. Webb & J. G. Tracey. 1973. Studies in the numerical analysis of complex rain-forest communities. VI. Models for the classification of quantitative data. J. Ecol.: 61: 47–70.
Williams, W. T., G. N. Lance, L. J. Webb, J. G. Tracey & J. H. Connell. 1969a. Studies in the numerical analysis of complex rainforest communities. IV. A method for the elucidation of smallscale forest pattern. J. Ecol. 57: 635–654.
Williams, W. T. G. N. Lance, L. J. Webb, J. G. Tracey & M. B. Dale. 1969b. Studies in the numerical analysis of complex rainforest communities. III. The analysis of successional data. J. Ecol. 57: 515–536.
Williams, W. T. & W. Stephenson. 1973. The analysis of three-dimensional data (sites × species × times) in marine ecology. J. Exp. Mar. Biol. Ecol. 11: 207–227.
Zedler, P. H. & F. G. Goff. 1973. Size-association analysis of forest successional trends in Wisconsin. Ecol. Monogr. 43: 79–94.
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I should like to thank B. Chabot, D. Cohen, H. Gauch, C. Mohler, T. Wentworth, R. H. Whittaker and the referees for helpful comments on the paper and S. Conley for assisting in preparing it. The paper was prepared while visiting the Section of Ecology and Systematics at Cornell University and I thank S. A. Levin for making the facilities available.
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Austin, M.P. Use of ordination and other multivariate descriptive methods to study succession. Plant Ecol 35, 165–175 (1977). https://doi.org/10.1007/BF02097067
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DOI: https://doi.org/10.1007/BF02097067