Operational Point Homology by Cartesian Transformation to Standard Shape: Examples from Setal Positions in Phytoseiid Mites

作者: R. I. C. Hansell , F. L. Bookstein , H. J. Rowell

DOI: 10.1093/SYSBIO/29.1.43

关键词: Taxonomy (biology)Unit circleCartesian coordinate systemSetaMathematicsAxiomAscidaeNomenclatureHomology (biology)Discrete mathematics

摘要: Hansell, R. I. C. (Department of Zoology, University Toronto, Canada M5S lAl), F. L. Bookstein (Center for Human Growth and Development, Michigan, Ann Arbor, Michigan 48109), H. J. Rowell lAl) 1980. Operational point homology by Cartesian transformation to standard shape: Examples from setal positions in phytoseiid mites. Syst. Zool., 29:43-49.-The geometric equivalence loci on organisms is used as a basis the operational definition homology. A mathematical physical method transforming organism outline unit circle mapping internal points are compared with reference taxonomic problems mesostigmatic [Taxonomy, Homology, Shape transformation.] In study organisms, most attributes or character states we measure associated locations, parts points, body. Comparing two depends instructions about correspondences location, that is, modern literature, typified Jardine (1969; see also 1971), taken be "identification things." We have argued elsewhere (Bookstein, 1978a: 120ff.) whenever such unambiguously computed it reduces function which declares equivalences among only. Only this approach can avoid severe logical ambiguities involved "parts" their relationships. (For various approaches determination see, others, Darwin, 1859; Jardine, 1967, 1969a; Owen, 1847; Sattler, 1967; Sneath, 1969.) An interesting example inherent determining phytoseiids Rowell, Chant, Hansell (1978). For closely related family mites, Ascidae, possesses all dorsal setae plus system nomenclature (Fig. 1) has now been accepted (Lindquist Evans, 1965). It an axiom relative position genetically fixed stable ontogenetically. The problem acarologists, according et al. (1978) "

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