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MAYDEN ET AL.-SYSTEMATICS OF WESTERN CYPRINIDS 823 <br />tical analyses and graphical display of results <br />were written by W. J. Rainboth in A Program- <br />ming Language (APL). <br />To study the phylogenetic relationships of <br />these species, measurements were transformed <br />to reduce differences because of size variation <br />in the samples. The transformations were ac- <br />complished through division by standard length <br />(SL sense Hubbs and Lagler, 1958; for most <br />longer body and fin measurements) or prepec- <br />toral length (PPL = tip of snout to pectoral <br />insertion; for most shorter measures associated <br />with cranial features). Prepectoral length was <br />chosen to standardize the cranial measures in- <br />stead of the traditional "head length" (HL; sen- <br />su Hubbs and Lagler, 1958). The former can <br />be more accurately measured between two <br />points, whereas the latter requires an arc mea- <br />surement to a more subjective point. The char- <br />acters were gap-coded using the simple-gap of <br />Archie (1985) of one average standard devia- <br />tion. We employed a standard procedure of or- <br />dering the states of each character in numerical <br />sequence (the smallest value assigned zero) giv- <br />en their single-dimension, magnitude-only re- <br />lationship. The evolutionary polarity of the or- <br />der was determined from the outgroup <br />perspective of H. symmetricus. A Wagner tree <br />was constructed by Phylogenetic Analysis Using <br />Parsimony (PAUP; Swofford, 1985), ordering <br />all characters as above with the outgroup, and <br />employing the branch and bound algorithm of <br />Hendy and Penny (1982) to find all most par- <br />simonious trees. For comparison, an alternative <br />analysis examined the effect of such ordering <br />by using all characters unordered. <br />RESULTS <br />Discrimination of operational taxonomic units <br />(OTUs).-For the principal component analysis <br />(PCA) of log-transformed measurements (Ta- <br />ble 3), 98.3% of the total variance was account- <br />ed for the first (size) axis because of great dis- <br />parity in size of the specimens. Five additional <br />roots were required to account for the next 1% <br />of the variance. These six largest roots, along <br />with the six counts were analyzed using canon- <br />ical variate analysis (CVA). The CVA result for <br />the entire group (Fig. 2) illustrates the distinc- <br />tiveness of Hesperoleucus, Mylopharodon, Ptycho- <br />chedus lucius, and Siuslaw River population of <br />Ptychocheilus umpquae. The remaining three taxa <br />of Ptychocheilus demonstrated significant spatial <br />overlap among axes I and 11. <br />The two groups of specimens, both currently <br />recognized as P. umpquae, revealed in this anal- <br />ysis correspond to specimens from the Umpqua <br />drainage and those from the adjacent but more <br />northern Siuslaw drainage. The distinctive re- <br />sult for the Siuslaw population of P. umpquae <br />was particularly interesting and may alter our <br />present view of the number of species in the <br />genus. However, given the problematic status <br />of the Siuslaw population (C. Bond, pers. comm., <br />see below), the few specimens available, and their <br />small size„ and we defer a definitive treatment <br />until more material becomes available. For our <br />purposes, the specimens of P. umpquae from the <br />Umpqua drainage, the drainage that includes <br />the type locality (Bond, 1980), were used to rep- <br />resent the taxon. Ptychocheilusgrandis, P. oregon- <br />ensis, and P. umpquae (Umpqua River) had con- <br />siderable overlap in the large-scale analysis but <br />were reanalyzed with the easily separable spe- <br />cies removed to evaluate diagnostic features of <br />each (Fig. 3A, B). In this analysis, all three spe- <br />cies could be distinguished easily. The best sin- <br />gle identifying feature was the number of dorsal <br />rays, eight in P. grandis and nine in both P. <br />umpquae and P. oregonensis. Of the 96 specimens <br />examined, a single P. oregonensis had the count <br />typical of P. grandis. The near-perfect nature <br />of this character for group identification caused <br />a loading many times the value of the next high- <br />est character loading (Table 4) and resulted in <br />the single aberrant specimen plotting near spec- <br />imens of P. grandis. A single specimen of P. <br />umpquae had a sin$ilarly aberrant, but noncon- <br />flicting, count of 10 dorsal rays and is plotted <br />far to the left of the other specimens (Fig. 3A). <br />These extreme outliers resulted in bivariate <br />prediction ellipses assuming a seemingly <br />nonpredictive alignment. <br />A third CVA (Fig. 3B) conducted on these <br />three species, omitting the dorsal ray character, <br />resulted in little overlap of prediction ellipses. <br />Margins of ellipses for P. oregonensis and P. <br />umpquae overlapped slightly, but only one of the <br />46 P. oregonensis fell within the predicted values <br />for the other species. Likewise, P. grandis was <br />distinguished from the other two species with <br />little overlap. Thus, even using all characters, <br />except dorsal rays, P. oregonensis and P. umpquae <br />were as distinguishable from one another as ei- <br />ther was from P. grandis, a species already known <br />to be distinct. Most of the separation of P. ore- <br />gonensis and P. umpquae (Umpqua River) oc- <br />curred along the horizontal first axis. This axis <br />had high loadings by principal components 2