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Graphical comparison of resemblance measures in phytosociology

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Abstract

A simple graphical method, COREM, is described for the comparison of quantitative resemblance measures. The basis of the method is the ordered comparison case series (OCCAS) composed of relevé pairs ranked in decreasing order of similarity. For a given OCCAS, values of given resemblance functions are calculated and plotted in COREM.

Delta resemblance (DR) is defined as the rate of change between two neighbouring relevé pairs in the OCCAS. High mean delta resemblance (% MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqaqpepeea0xe9qqVa0l% b9peea0lb9sq-JfrVkFHe9peea0dXdarVe0Fb9pgea0xa9pue9Fve9% Ffc8meGabaqaciGacaGaaeqabaWaaeaaeaaakeaadaqdaaqaaGqaai% aa-reacaWFsbaaaaaa!392E!\[\overline DR \]) of a resemblance measure indicates a high power of resolution and small standard deviation (SDDR) is indicative of linearity. A measure of efficiency combines % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqaqpepeea0xe9qqVa0l% b9peea0lb9sq-JfrVkFHe9peea0dXdarVe0Fb9pgea0xa9pue9Fve9% Ffc8meGabaqaciGacaGaaeqabaWaaeaaeaaakeaadaqdaaqaaGqaai% aa-reacaWFsbaaaaaa!392E!\[\overline DR \] and SDDR in the coefficient of variation for delta resemblance (CVDR). An efficient measure shows balanced sensitivity to the common and differential species. With the method COREM locally optimal resemblance measures may be selected for any given set of relevés which produce the sharpest separation of clusters. A reasonable compromise is to use types of measures, such as the similarity ratio (SIM6), Czekanowski coefficient (SIM8), or floristic similarity (SIM9), which have the best chance of being successful in most relevé sets. A study of transformation functions on Braun-Blanquet values with the help of COREM demonstrates that the combined transformation is the most advantageous for clustering. It is shown that standardization by relevés, or conversion to unit sum has undesirable effects.

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Authors and Affiliations

  1. Botanical Department, Museum of Natural History, Pf. 222, Budapest, Hungary, H-1476

    L. J. Hajdu

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  1. L. J. Hajdu
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During the preparation of this paper the author was a recipient of a Postgraduate Scholarship, Deutscher Akademischer Austauschdients, Dortmund, KFA Abteilung Algenforschung, Germany. The author would like to thank L. Orlóci, P. Juhász-Nagy and E. van der Maarel for valuable suggestions, and comments.

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Hajdu, L.J. Graphical comparison of resemblance measures in phytosociology. Vegetatio 48, 47–59 (1981). https://doi.org/10.1007/BF00117360

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