Logistic regression in comparative wood anatomy: tracheid types, wood anatomical terminology, and new inferences from the Carlquist and Hoekman southern Californian data set

Despite collecting copious amounts of data, wood anatomists rarely perform appropriate statistical analyses, especially in the case of categorical variables. Nevertheless, anatomists have succeeded in identifying strong ecological trends. We show that, with only a slightly more sophisticated analysis, the strength and significance of ‘well-known’ associations can be quantified, and new associations pinpointed. Using logistic regression to reanalyse the classic Carlquist and Hoekman data set for the southern Californian flora, we show strong support for the notion that true tracheid presence lowers vessel grouping; in contrast, vasicentric tracheids are associated with a diversity of vessel grouping strategies. We show that statistical models can refine anatomical interpretations by identifying unusual species. For example, Fremontodendron californicum and Baccharis salicifolia (= B. glutinosa) were identified as unusual in lacking vasicentric tracheids; a consultation of preparations revealed that they are indeed present. For purposes of ecological wood anatomy, anatomical terminology should reflect cell function; we suggest that terminological systems that yield better predictive power in statistical models such as ours are preferable. Finally, we make recommendations ranging from the statistical, e.g. the need to check assumptions and the need for the inclusion of phylogeny, to the biological, e.g. gathering data expressly designed to test functional hypotheses rather than all of the information in standardized lists. © 2007 The Linnean Society of London, Botanical Journal of the Linnean Society, 2007, 154, 331–351.

[1]  J. Grant,et al.  Wood anatomy of Gentianaceae, tribe Helieae, in relation to ecology, habit, systematics, and sample diameter , 2005, Brittonia.

[2]  S. Carlquist VESSEL GROUPING IN DICOTYLEDON WOOD : SIGNIFICANCE AND RELATIONSHIP TO IMPERFORATE TRACHEARY ELEMENTS , 2007 .

[3]  W. Cornwell,et al.  Wood density and vessel traits as distinct correlates of ecological strategy in 51 California coast range angiosperms. , 2006, The New phytologist.

[4]  Julieta A. Rosell,et al.  USING HETEROCHRONY TO DETECT MODULARITY IN THE EVOLUTION OF STEM DIVERSITY IN THE PLANT FAMILY MORINGACEAE , 2006, Evolution; international journal of organic evolution.

[5]  Douglas G Altman,et al.  Dichotomizing continuous predictors in multiple regression: a bad idea , 2006, Statistics in medicine.

[6]  William A. Paddock,et al.  Do Xylem Fibers Affect Vessel Cavitation Resistance?1 , 2005, Plant Physiology.

[7]  M. Olson Commentary: Typology, Homology, and Homoplasy in Comparative Wood Anatomy , 2005 .

[8]  S. Jansen,et al.  Variation in xylem structure from tropics to tundra: evidence from vestured pits. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[9]  J. Sperry,et al.  Analysis of circular bordered pit function I. Angiosperm vessels with homogenous pit membranes. , 2004, American journal of botany.

[10]  J. Sperry,et al.  Analysis of circular bordered pit function II. Gymnosperm tracheids with torus-margo pit membranes. , 2004, American journal of botany.

[11]  S. Jansen,et al.  Ecological trends in the wood anatomy of Vaccinioideae (Ericaceae s.l.) , 2004 .

[12]  J. Reid Experimental Design and Data Analysis for Biologists , 2003 .

[13]  Matthias Schroder,et al.  Logistic Regression: A Self-Learning Text , 2003 .

[14]  E. Paradis,et al.  Analysis of comparative data using generalized estimating equations. , 2002, Journal of theoretical biology.

[15]  N. Holbrook,et al.  HARDLY A RELICT: FREEZING AND THE EVOLUTION OF VESSELLESS WOOD IN WINTERACEAE , 2002, Evolution; international journal of organic evolution.

[16]  E. S. Alves,et al.  ECOLOGICAL TRENDS IN THE WOOD ANATOMY OF SOME BRAZILIAN SPECIES. 2. AXIAL PARENCHYMA, RAYS AND FIBRES , 2002 .

[17]  T. Terrazas,et al.  Variación de la anatomía de la madera de Pachycereus pecten-aboriginum (Cactaceae) , 2009 .

[18]  Prof. Dr. Sherwin Carlquist,et al.  Comparative Wood Anatomy , 2001, Springer Series in Wood Science.

[19]  E. S. Alves,et al.  ECOLOGICAL TRENDS IN THE WOOD ANATOMY OF SOME BRAZILIAN SPECIES. 1. GROWTH RINGS AND VESSELS , 2000 .

[20]  P. Baas,et al.  Ecological and Systematic Wood Anatomy of Alstonia (Apocynaceae) , 1998 .

[21]  T. F. Hansen,et al.  Phylogenies and the Comparative Method: A General Approach to Incorporating Phylogenetic Information into the Analysis of Interspecific Data , 1997, The American Naturalist.

[22]  S. Carlquist Wood Anatomy of Compositae: A Summary, With Comments on Factors Controlling Wood Evolution , 1996 .

[23]  Barbara L. Gartner,et al.  Patterns of xylem variation within a tree and their hydraulic and mechanical consequences , 1995 .

[24]  David G. Kleinbaum,et al.  Logistic Regression. A Self- Learning Text , 1994 .

[25]  D. Collett Modelling Binary Data , 1991 .

[26]  M. Pagel,et al.  The comparative method in evolutionary biology , 1991 .

[27]  D. Hosmer,et al.  Applied Logistic Regression , 1991 .

[28]  Peter Gasson,et al.  IAWA List of Microscopic Features for Hardwood Identification by an IAWA Committee , 1989 .

[29]  P. Baas Terminology of Imperforate Tracheary Elements - In Defence of Llbriform Fibres With Minutely Bordered Pits , 1986 .

[30]  S. Carlquist Terminology of Imperforate Tracheary Elements: A Reply , 1986 .

[31]  S. Carlquist Terminology of Imperforate Tracheary Elements , 1986 .

[32]  J. Felsenstein Phylogenies and the Comparative Method , 1985, The American Naturalist.

[33]  D. Hoekman,et al.  Ecological Wood Anatomy of the Woody Southern Californian Flora , 1985 .

[34]  S. Carlquist Vasicentric Tracheids as a Drought Survival Mechanism in the Woody Flora of Southern California and Similar Regions; Review of Vasicentric Tracheids , 1985 .

[35]  S. Carlquist Vessel Grouping in Dicotyledon Wood , 1984 .

[36]  A. Fahn,et al.  Some Ecological Trends in Vessel Characters , 1983 .

[37]  S. Carlquist Wood Anatomy of Buxaceae: Correlations with Ecology and Phylogeny , 1982 .

[38]  J. Burley,et al.  The application of statistics and computing in wood anatomy , 1982 .

[39]  D. Pregibon Logistic Regression Diagnostics , 1981 .

[40]  S. Carlquist Ecological strategies of xylem evolution , 1975 .

[41]  V. Barnett,et al.  Applied Linear Statistical Models , 1975 .

[42]  P. Baas,et al.  Wood anatomical variation in relation to latitude anf altitude , 1974 .

[43]  P. Baas The wood anatomical range in Ilex (Aquifoliaceae) and its ecological and phylogenetic significance , 1973 .

[44]  R. Greenberg Biometry , 1969, The Yale Journal of Biology and Medicine.

[45]  F. James Rohlf,et al.  Biometry: The Principles and Practice of Statistics in Biological Research , 1969 .

[46]  S. Carlquist Comparative Wood Anatomy: Systematic, Ecological, and Evolutionary Aspects of Dicotyledon Wood , 1990 .

[47]  B. Gardiner,et al.  Linnean Society of London , 1956, Nature.

[48]  C. R. Metcalfe,et al.  Anatomy of the dicotyledons, Vols. 1 & 2 , 1950 .

[49]  I. Bailey THE CAMBIUM AND ITS DERIVATIVE TISSUES II. SIZE VARIATIONS OF CAMBIAL INITIALS IN GYMNOSPERMS AND ANGIOSPERMS , 1920 .

[50]  H. Osborn Origin of Single Characters as Observed in Fossil and Living Animals and Plants , 1915, The American Naturalist.