ANOTHER APPROACH TO LEAF SHAPE COMPARISONS

Summary Methods for shape comparisons among groups originally developed in zoological studies are found to be useful in examining variation in leaf shape. These methods (sampling outlines by means of truss networks connecting landmarks or pseudolandmarks, and sheared principal components analysis) take advantage of electronic methods of data capture and multivariate data analysis. They have the desirable properties of discriminating between shape variation and variation in size, and of permitting their results to be related directly to the original measurements from which they were obtained. The utility of these methods is demonstrated with respect to a search for possible leaf shape intermediacy in putative Crataegus hybrids, and an examination of geographic variation in the cross-sectional shape of Larix laricina needles.

[1]  G. Hanrahan Multivariate Data Analysis , 2008 .

[2]  T. Dickinson Topodeme differentiation in Ontario taxa of Crataegus (Rosaceae: Maloideae): leaf morphometric evidence , 1986 .

[3]  T. Dickinson THE BIOLOGY OF CANADIAN WEEDS.: 68. Crataegus crus-galli L. sensu lato , 1985 .

[4]  T. Dickinson,et al.  Studies in Crataegus L. (Rosaceae: Maloideae). XIII. Degree and Pattern of Phenotypic Variation in Crataegus sect. Crus-galli in Ontario , 1985 .

[5]  S. Ferson,et al.  Measuring shape variation of two-dimensional outlines , 1985 .

[6]  A. Baker,et al.  Morphometric Variation in Introduced Populations of the Common Myna (Acridotheres tristis): An Application of the Jackknife to Principal Component Analysis , 1984 .

[7]  K. Christensen The morphological variation of some Crataegus populations (Rosaceae) in Greece and Yugoslavia , 1984 .

[8]  I. Noble,et al.  Analyses of digitised leaf images of the Dodonaea viscosa complex in Australia , 1984 .

[9]  F. Rohlf,et al.  A COMPARISON OF FOURIER METHODS FOR THE DESCRIPTION OF WING SHAPE IN MOSQUITOES (DIPTERA: CULICIDAE) , 1984 .

[10]  T. Dickinson,et al.  Studies in Crataegus (Rosaceae: Maloideae). IX. Short-shoot leaf heteroblasty in Crataegus crus-galli sensu lato , 1984 .

[11]  W. Parker,et al.  INTRASPECIFIC VARIATION IN ABIES LASIOCARPA FROM BRITISH COLUMBIA AND WASHINGTON , 1984 .

[12]  R. B. Phillips Shape characters in numerical taxonomy and problems with ratios , 1983 .

[13]  Dwight T. Kincaid,et al.  Quantification of leaf shape with a microcomputer and Fourier transform , 1983 .

[14]  R. Ehrlich,et al.  Comments on the Validity of Fourier Descriptors in Systematics: A Reply to Bookstein et al. , 1983 .

[15]  Fred L. Bookstein,et al.  A Comment upon the Uses of Fourier Methods in Systematics , 1982 .

[16]  D. B. Walden,et al.  Leaf and Stem Heteroblasty in Zea , 1982, Botanical Gazette.

[17]  Fred L. Bookstein,et al.  MULTIVARIATE DISCRIMINATION BY SHAPE IN RELATION TO SIZE , 1981 .

[18]  W. Parker,et al.  IMPLICATIONS OF MORPHOLOGICAL AND ANATOMICAL VARIATION IN ABIES BALSAMEA AND A. LASIOCARPA (PINACEAE) FROM WESTERN CANADA , 1981 .

[19]  J. Maze A COMMENT ON WELLS' DISTANCE COEFFICIENT AS A HYBRIDIZATION INDEX , 1980 .

[20]  J. B. Phipps,et al.  A taxonomic revision of Crataegus (Rosaceae) in Ontario , 1980 .

[21]  Robert S. Hill,et al.  A Numerical Taxonomic Approach to the Study of Angiosperm Leaves , 1980, Botanical Gazette.

[22]  H. Wells A DISTANCE COEFFICIENT AS A HYBRIDIZATION INDEX: AN EXAMPLE USING MIMULUS LONGIFLORUS AND M. FLEMINGII (SCROPHULARIACEAE) FROM SANTA CRUZ ISLAND, CALIFORNIA , 1980 .

[23]  P. Green,et al.  Mathematical Tools for Applied Multivariate Analysis , 1979 .

[24]  J. Owens,et al.  Bud development in Larix occidentalis. II. Cone differentiation and early development , 1979 .

[25]  W. Parker,et al.  Analysis of variation in leaf and twig characters of Abies lasiocarpa and A. amabilis from north-coastal British Columbia , 1979 .

[26]  J. B. Phipps,et al.  MEIOSIS AND POLYPLOIDY IN ONTARIO SPECIES OF CRATAEGUS IN RELATION TO THEIR SYSTEMATICS , 1979 .

[27]  F. Bookstein,et al.  The Measurement of Biological Shape and Shape Change. , 1979 .

[28]  J. Owens,et al.  Bud development in Larix occidentalis. I. Growth and development of vegetative long shoot and vegetative short shoot buds , 1979 .

[29]  Leslie F. Marcus,et al.  Morphometrics: Multivariate Analysis of Biological Data. , 1978 .

[30]  John M. Chambers,et al.  Computational Methods for Data Analysis. , 1978 .

[31]  P. Dagnelie,et al.  Analyse Statistique à Plusieurs Variables , 1977 .

[32]  S. Frontier Étude de la décroissance des valeurs propres dans une analyse en composantes principales: Comparaison avec le modd́le du bâton brisé , 1976 .

[33]  W. Atchley,et al.  Statistical Properties of Ratios. I. Empirical Results , 1976 .

[34]  B. V. Barnes,et al.  Leaf diversity in yellow birch (Betula alleghaniensis) , 1974 .

[35]  Morton B. Brown,et al.  Robust Tests for the Equality of Variances , 1974 .

[36]  H. J. Conn,et al.  Staining procedures used by the Biological Stain Commission. , 1974 .

[37]  Morton B. Brown,et al.  The Small Sample Behavior of Some Statistics Which Test the Equality of Several Means , 1974 .

[38]  N. Jardine,et al.  The observational and theoretical components of homology: a study based on the morphology of the dermal skull‐roofs of rhipidistian fishes , 1969 .

[39]  D. F. Morrison,et al.  Multivariate Statistical Methods , 1968 .

[40]  G. J. Paxman,et al.  Differentiation and Stability in the Development of Nicotiana rustica , 1956 .

[41]  Dorothy Hammond THE EXPRESSION OF GENES FOR LEAF SHAPE IN GOSSYPIUM HIRSUTUM L. AND GOSSYPIUM ARBOREUM L. I. THE EXPRESSION OF GENES FOR LEAF SHAPE IN GOSSYPIUM HIRSUTUM L , 1941 .

[42]  R. Melville,et al.  The Accurate Definition of Leaf Shapes by Rectangular Coordinates , 1937 .

[43]  H. Rickett Forms of Crataegus Crus-Galli , 1937, Botanical Gazette.

[44]  T. Dickinson,et al.  STUDIES IN CRATAEGUS (ROSACEAE: MALOIDEAE) XIV. THE BREEDING SYSTEM OF CRATAEGUS CRUS-GALLI SENSU LATO IN ONTARIO. , 1986, American journal of botany.

[45]  K. Stout Analysis of Variation , 1985 .

[46]  K. Christensen A biometric study of some hybridizing Crataegus populations in Denmark , 1983 .

[47]  J. B. Phipps Biogeographic, Taxonomic, and Cladistic Relationships Between East Asiatic and North American Crataegus , 1983 .

[48]  T. Dickinson Crataegus Crus-galli L Sensu Lato In Southern Ontario: Phenotypic Variation And Variability In Relation To Reproductive Behavior , 1983 .

[49]  A. El-Gazzar The taxonomic significance of leaf morphology in Crataegus (Rosaceae). , 1980 .

[50]  N. Campbell A multivariate approach to variation in microfilariae: examination of species Wuchereria lewisi and Demes of the species W. bancrofti , 1976 .

[51]  J. Byatt Hybridization between Crataegus monogyna Jacq. and C. laevigata (Poiret) DC. in south-eastern England , 1975 .

[52]  J. M. Bostrack,et al.  On the Determination of Leaf Form in an Aquatic Heterophyllous Species of Ranunculus , 1962 .

[53]  R. Melville A metrical study of leaf-shape in hybrids : I. The leaf-shape of some F1 hybrids and their parents. , 1960 .

[54]  D. I. Axelrod,et al.  Pliocene floras of California and Oregon , 1944 .