๐”– Bobbio Scriptorium
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Non-linear ordination in several dimensions

โœ Scribed by D. W. Goodall; R. W. Johnson


Publisher
Springer Netherlands
Year
1982
Tongue
English
Weight
933 KB
Volume
48
Category
Article
ISSN
1385-0237

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โœฆ Synopsis


A method is described for fitting a model in which site characteristics are represented by a set of orthogonal axes, while the probability that a particular species will be present, and its quantity if it is present, are each related to the axes of the system by symmetrical hypersurfaces with an optimum, decreasing asymptotically to zero as conditions depart from the optimum, The method needs initial estimates of the positions of the sample sites within the axis system. Given these starting points, they can be progressively improved by an iterative procedure. Results are reported of an extensive series of tests using artificial data, and of an analysis of field data from brigalow woodland in Queensland.


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## Abstract The effect of retaining the nonโ€linear term (ยฝ __u__) in the strainโ€displacement equations for frame analysis using Eulerian moving coโ€ordinates is discussed. The resulting nonโ€linear equilibrium equations are solved using the energy search method of analysis. Two examples are discussed