Analysis of the phase space, asymptotic behavior and by Sköldstam 1975- Markus

By Sköldstam 1975- Markus

Research of the part house of heavy symmetric best (ISBN 9173739944)

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Extra info for Analysis of the phase space, asymptotic behavior and stability for heavy symmetric top and tippe top

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In plot-based methods of point-pattern analysis, data are generally collected in randomly distributed quadrats by tallying the number of ecological objects occurring in each quadrat. The data are then analyzed using approaches such as χ2 analysis, assuming that a completely spatially random (CSR) distribution would produce a Poisson distribution in the sample. ) In both the plot and plotless methods, the overall goal is to determine whether the distribution of ecological objects differs significantly from a CSR distribution.

PRIOR TO ANALYSIS After the research question has been specified, the first step is to compile information on possible drivers of the spatial structures of the system of interest, to determine the appropriate data types for analysis, and to critically inspect a visualization of the pattern based on the ecological information available. Next, the point-pattern data type must be determined and it must be decided whether the pattern is, in good approximation, homogeneous or if it is heterogeneous.

2007c, 2009). In this case, it may already be evident from visualization that the pattern is not random. , Wiegand et al. 2009). Such analyses require the use of more sophisticated point-process models, with known properties, that serve as a “point of reference” or benchmark. The parameters of these models, if they fit the data well, can be used to succinctly summarize the properties of the point pattern. In other cases, we may strive to test specific ecological hypotheses and their affects on the development of the spatial structure of a point pattern.

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