By Leslie F. Marcus, Marco Corti, Anna Loy, Gavin J. P. Naylor, Dennis E. Slice

ISBN-10: 147579083X

ISBN-13: 9781475790832

ISBN-10: 1475790856

ISBN-13: 9781475790856

This quantity relies at the NATO complex research Institute, "Advances in MorĀ­ phometries" held in eleven Ciocco, Tuscany, Italy from July 18-30, 1993, and directed through Leslie F. Marcus. The "Advances in Morphometries" ASI used to be marketed in Nature and a few expert journals. bulletins have been despatched to suitable associations and departments in the course of the global. simply because NATO required that most of attendees be from NATO international locations, the seventy one people attending represented 9 NATO nations, 4 japanese eu international locations, now well-known as equivalent companions for AS Is, and some contributors from non-NATO international locations. members have been all energetic students in numerous disciplines inside of biology, in addition to laptop technological know-how, statistics, geology and paleontology. Their adventure ranged from that of graduate scholars to senior school, in addition to one emeritus student. an entire checklist of the these attending and their addresses, mobilephone and FAX numbers and, the place to be had, email addresses is given within the individuals checklist. all of the neighborhood preparations have been made via Marco Corti and Anna Loy of the collage of Rome "Ia Sapienza. " They made the preliminary touch with the II Ciocco convention middle after which prepared for laptop and Xerox leases, layout of emblems, association of posters, and book of poster abstracts.

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The important breakthrough was achieved by F. L. Bookstein (1991 ), who realized that the thin-plate spline technique could be invoked for producing a practical solution to the Thompsonian intercalation problem. In a way, Bookstein bridged the gap between the concepts of Albrecht Durer and D' Arcy Thompson. Before passing to the idiosyncratic part of my note, I wish to mention a few of the algebraists who have contributed to the analysis of distance measures. Hopkins ( 1966) provided an intelligent improvement to Jolicoeur's method of assessing multivariate allometry by means of a factor-analytical model of a reduced rank covariance matrix.

1990; Strauss, 1990b; Klingenberg and Zimmermann, 1992a). Some studies, however, show clear deviations from simple allometry in certain structures (Cuzin-Roudy and Laval, 1975; Boag, 1984; Cane, 1993) or subtle curvatures of growth trajectories in the space of log-transformed characters (Bookstein, 1991: Figs. 4; Klingenberg and Zimmermann 1992a; Klingenberg and Spence, 1993). g. , 1993; McLellan, 1993). Three types of data are used to study ontogenetic allometry: longitudinal data based on measurements of the same individuals at several developmental stages, cross-sectional data with different specimens in several known stages, and mixed cross-sectional data collected without information on ontogenetic stage (Cock, 1966).

Teissier, G. 1938. Un essai d'analyse factorielle. Les variants sexuels de Maia squinada. Biotypologie 7:73-96. Thompson, D. W. 1917. On growth and fonn. Cambridge University Press: Cambridge. MULTIVARIATE ALLOMETRY Christian Peter Klingenberg Department of Biological Sciences University of Alberta Edmonton, Alberta T6G 2E9, Canada ABSTRACT The subject of allometry is variation in morphometric variables or other features of organisms associated with variation in size. Such variation can be produced by several biological phenomena, and three different levels of allometry are therefore distinguished: static allometry reflects individual variation within a population and age class, ontogenetic allometry is due to growth processes, and evolutionary allometry is the result of phylogenetic variation among taxa.

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Advances in Morphometrics by Leslie F. Marcus, Marco Corti, Anna Loy, Gavin J. P. Naylor, Dennis E. Slice

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