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use designation, and substrate composition _ Statistical AnalySeS <br />are given in Table 1. <br />Chironomid data, analyzed as <br />presence/absence for this report, were <br />available for 20 upper Rio Grande sites, 18 <br />of which had data for fish and 17 of which <br />had data for environmental variables. Data <br />for benthic macroinvertebrate taxa, analyzed <br />as- presence/absence-, *were- -available-for 30 <br />upper Grande sites, all of which had <br />environmental data available. Fish data <br />were obtained for 32 sites in the upper Rio <br />Grande; however, data were analyzed for <br />only 28 of the sites for which environmental <br />data were available. Analyses for fish were <br />made on presence/absence data and on <br />relative abundance data. Presence/absence <br />data has great utility in assessing faunal <br />regions (e.g., Hawkes et al., 1986; <br />Malmqvist and Maki, 1994). Data for <br />environmental factors, chironomid species <br />distribution, benthic macroinvembrate <br />distribution, and fish distribution and <br />abundance are given in Appendix 2. <br />Data were manipulated with SAS for the <br />Windows operating environment (SAS <br />Institute, Inc., 1990, 1993). Multiple <br />samples for a site were combined to obtain <br />single composite samples per site <br />(Malmgvist and Maki, 1994). To create <br />data files having sites as rows and species as <br />columns, data were manipulated with a <br />combination of SAS and FORTRAN <br />programs (Appendix 3). To create data <br />files for use in CANOCO (ter Braak, <br />1987-1992), SAS programs were used to <br />reformat species data into Cornell <br />condensed format and environmental data <br />into CANOCO full format. <br />Defining Aquadc Ecoregions with <br />Environmental Data <br />To reduce the dimensionality and to <br />circumvent problems of colinearity of some <br />of the 22 environmental variables, principal <br />components analysis (Johnson and Wichern, <br />1982) was performed. Principal <br />components analysis is a multivariate <br />ordination technigne that is useful for <br />reducing the variation in a large set of <br />. individual variables to a smaller set of <br />multivariate combinations of variables <br />(Corkwn and Ciiborowski, 1988; Stewart <br />and L(an, 1994). principal components are <br />uncorrelated axes (orthogonal, or, at 90 <br />degree angles) of variation in multivariate <br />space. The principal components are <br />obtained in such a way that the first axis <br />represents the direction of greatest variation <br />in multivariate space, the second axis <br />accounts for the neat most variation, and so <br />forth. When the number of sample sites is <br />greater than or equal to the number of <br />variables, the number of principal <br />components is equal to the number of sites. <br />Principal components with eigenvalues <br />(amount of variance explained) greater than <br />one were extracted from the environmental <br />correlation matrix for sites using the <br />FACTOR procedure of SAS (SAS Institute, <br />Inc., 1989x). Use of the correlation matrix <br />was equivalent to standardization of <br />variables and it eliminated scaling problems <br />that may arise with a covariance matrix <br />when all of the variables are not on the <br />same scale of measurement. The set of <br />important (eigenvalues greater than one) <br />principal components were then subjected to <br />ai <br />d