SHAPE DISTANCES IN GENERAL LINEAR MODELS: ARE THEY REALLY AT ODDS WITH THE GOALS OF MORPHOMETRICS? A REPLY TO KLINGENBERG
LEANDRO R. MONTEIRO
Laboratório de Ciências Ambientais, Centro de Biociencias e Biotecnologia, Universidade Estadual do Norte Fluminense, Avenida Alberto Lamego 2000, Parque Califórnia, Campos dos Goytacazes, 28013-600, Rio de Janeiro, Brasil E-mail: [email protected]
Search for more papers by this authorJOSÉ A. F. DINIZ-FILHO
Departamento de Biologia Geral, Instituto de Ciências Biológicas, Universidade Federal de Goiás, cp 131, 74001-970, Goiânia, Goiás, Brasil E-mail: [email protected]
Search for more papers by this authorSÉRGIO F. DOS REIS
Departamento de Parasitologia, Instituto de Biologia, Universidade Estadual de Campinas, Campinas, 13083-970, Sao Paulo, Brasil E-mail: [email protected]
Search for more papers by this authorEDILSON D. ARAÚJO
Universidade Tiradentes, Campus II, Instituto de Tecnologia e Pesquisa, GPCA, Avenida Murilo Dantas, 300, 49032-490, Aracaju, Sergipe, Brasil E-mail: [email protected]
Search for more papers by this authorLEANDRO R. MONTEIRO
Laboratório de Ciências Ambientais, Centro de Biociencias e Biotecnologia, Universidade Estadual do Norte Fluminense, Avenida Alberto Lamego 2000, Parque Califórnia, Campos dos Goytacazes, 28013-600, Rio de Janeiro, Brasil E-mail: [email protected]
Search for more papers by this authorJOSÉ A. F. DINIZ-FILHO
Departamento de Biologia Geral, Instituto de Ciências Biológicas, Universidade Federal de Goiás, cp 131, 74001-970, Goiânia, Goiás, Brasil E-mail: [email protected]
Search for more papers by this authorSÉRGIO F. DOS REIS
Departamento de Parasitologia, Instituto de Biologia, Universidade Estadual de Campinas, Campinas, 13083-970, Sao Paulo, Brasil E-mail: [email protected]
Search for more papers by this authorEDILSON D. ARAÚJO
Universidade Tiradentes, Campus II, Instituto de Tecnologia e Pesquisa, GPCA, Avenida Murilo Dantas, 300, 49032-490, Aracaju, Sergipe, Brasil E-mail: [email protected]
Search for more papers by this author
Literature Cited
- Atchley, W. R., and B. K. Hall. 1991. A model for development and evolution of complex morphological structures. Biol. Rev. 66: 101–157.
- Bookstein, F. L. 1991. Morphometric tools for landmark data: geometry and biology. Cambridge Univ. Press, Cambridge , UK .
-
1996. Combining the tools of geometric morphometrics. Pp.
131–151
in
L. F. Marcus,
M. Corti,
A. Loy,
G. J. P. Naylor, and
D. E. Slice, eds.
Advances in morphometrics. Plenum Press,
New York
.
10.1007/978-1-4757-9083-2_12 Google Scholar
- Dryden, I. L., and K. V. Mardia. 1998. Statistical shape analysis. John Wiley and Sons, New York .
- Goodall, C. R. 1991. Procrustes methods in the statistical analysis of shape. J. R. Stat. Soc. B 53: 285–339.
- Hendry, A. P., and M. T. Kinnison. 1999. The pace of modern life: measuring rates of contemporary microevolution. Evolution 53: 1637–1653.
-
Johnson, R. A., and
D. W. Wichern. 1988. Applied multivariate statistical analysis. Prentice-Hall,
Englewood Cliffs
,
NJ
.
10.2307/2531616 Google Scholar
- Klingenberg, C. P. 2003. Quantitative genetics of geometric shape: heritability and the pitfalls of the univariate approach. Evolution 57: 191–195.
- Klingenberg, C. P., and L. J. Leamy. 2001. Quantitative genetics of geometric shape in the mouse mandible. Evolution 55: 2342–2352.
- Klingenberg, C. P., and G. S. McIntyre. 1998. Geometric morpho-metrics of developmental instability: analyzing patterns of fluctuating asymmetry with Procrustes methods. Evolution 52: 1363–1375.
- Lynch, M., and B. Walsh. 1998. Genetics and analysis of quantitative traits. Sinauer, Sunderland , MA .
- Monteiro, L. R. 1999. Multivariate regression models and geometric morphometrics: the search for causal factors in the analysis of shape. Syst. Biol. 48: 192–199.
- Monteiro, L. R., J. A. F. Diniz-Filho, S. F. dos Reis, and E. D. Araujo. 2002. Geometric estimates of heritability in biological shape. Evolution 56: 563–572.
- Rohlf, F. J. 1996. Morphometric spaces, shape components and the effect of linear transformations. Pp. 117–130 in L. F. Marcus, M. Corti, A. Loy, G. J. P. Naylor, and D. E. Slice, eds. Advances in morphometrics. Plenum Press, New York .
- 2000. TpsRegr: A program to perform multivariate regression on morphometric data. Ver. 1.25. Dept. of Ecology and Evolution, State University of New York, Stony Brook , NY .
- Spicer, G. S. 1993. Morphological evolution of the Drosophila vi-rilis species group as assessed by rate tests for natural selection on quantitative characters. Evolution 47: 1240–1254.
- Turelli, M., J. H. Gillespie, and R. Lande. 1988. Rate tests for selection on quantitative characters during macroevolution and microevolution. Evolution 42: 1085–1089.
