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<br />growth. The use of a pooled sample of fishes from all <br />three streams for species occurring in all streams <br />might also be regarded at best as a simplification, and <br />at worst as a method resulting in the loss of any in- <br />tere$ting ecological information, in that any local ad- <br />api?.ions would be obscured. I investigated this pos- <br />sibility of intraspecific variation in morphology and <br />found such variation to exist between populations <br />within different streams in only one feature, relative <br />body depth (measured as the ratio of maximum body <br />depth to standard length). For three different species <br />of sunfishes, the sample, measured from the faster- <br />flowing of the two streams compared, had a statisti- <br />cally significant lower mean value than the sample <br />from the slower stream. Because this same effect was <br />seen in all three species, and a high relative body depth <br />normally is taken to indicate a slow-water habitat pref- <br />erence (Nikolskii 1933, Aleev 1969), I assumed that <br />the observed differences probably involved adaptation <br />to local habitat conditions. Alternative explanations <br />based on phenomena such as character displacement <br />or the founder effect cannot be ruled out, but seem <br />less likely to me, especially considering the absence <br />of additional cases of intraspecific variation. <br />Morphological features studied included measures <br />of body shape and proportions, mouth size and posi- <br />tion, fin shape and location, and internal features such <br />as swim bladder volume, gut length, and red muscle <br />content. As a control for size effects, all length, sur- <br />face area and volume measurements were divided by <br />standard body length, surface area or volume, as ap- <br />propriate, and thereby converted to relative indices; <br />A multivariate analysis of the resultant set of data did <br />not identify size as a principal component. Altogether. <br />I studied 56 features on each species. and each feature <br />was selected for study based on some inferred ecolog- <br />ical significance. (See the Appendix for a list of these <br />features and Gatz [1979J for a complete description <br />and extensive interpretation.) <br /> <br />CommunilY slruclure <br /> <br />The information from the morphological analysis <br />was then used in two complementary ways in the anal- <br />ysis of niche relationships. First, the variance of the <br />data was employed, by using Newman-Kuels tests, to <br />identify boundaries of statistical significance. In this <br />case, I assumed statistical significance to be equivalent <br />to ecological significance. In other words, any mor- <br />phological feature shown to have statistically signifi- <br />cantly different mean values in two species was as- <br />sumed to indicate also that different optimal patterns <br />of resource utilization exist between the species, i.e.. <br />that niche differentiation exists. Although this proce- <br />dure may, by virtue of type II statistical errors, have <br />resulted in missing some differentiating features be- <br />tween species, it seemed the most reasonable ap- <br />proach. To deny that significantly different amounts <br />of red muscle, for example, equip the species involved <br /> <br />for different habits and habitats is to deny that natural <br />selection has any significance. <br />The second way the data were utilized entailed the <br />use of species mean values and to a large degree ig- <br />nored variability. This approach supposes that a sub- <br />stantial separation could result between species if a <br />large number of features differed slightly, even though <br />none differed in a statistically significant manner. <br />The two different forms of analysis of overall com- <br />munity organization permitted by these two modes of <br />assessment follow. <br />In the first case, I borrowed the viewpoint of a nu- <br />merical taxonomist. I assumed that the wide variety <br />of features which I measured was in some sense a <br />random sample of all possible morphological features <br />related to the niche of the fishes. In other words. I <br />assumed that I had measured enough features related <br />to enough different aspects of each species' biology <br />so that most major aspects of the niche had been taken <br />into consideration. Therefore, the number of morpho- <br />logical features not significantly different between two <br />species when expressed as a percentage of the total <br />number of features measured was taken as an index <br />of percentage niche overlap of the two species. Com- <br />munity structure was, in this case, analyzed in terms <br />of percentage overlap between coexisting intrafamilial <br />species pairs. <br />In the second case, the raw morphological data were <br />subjected to further treatment before a measure of <br />niche spacing was undertaken. First, in order to <br />achieve a morphologically defined niche for each <br />species based on independent axes, a factor analysis <br />with orthogonal rotation wa~ performed. Nine factors <br />with eigenvalues greater than one were found which <br />together accounted for 79% of the total variance in the <br />data. Each such factor identifies one set of morpho- <br />logical features which show significant multivariate <br />trends in covariation with each other, but are inde- <br />pendent of any other sets of features. Thus, these in- <br />dependent dimensions are ideally suited for defining <br />a position for each species in N-dimensional (in this <br />case N = 9) space. The average factor scores (to three <br />digits) on each dimension for every species were used <br />to assign positions for all species in niche space as <br />defined by this morphological space. In other words, <br />the center of the niche of each species is taken to be <br />that point in this nine-dimensional space given by the <br />series of nine average factor scores. <br />Next, in order to determine the pattern of spacing <br />of these morphologically defined niches for coexisting <br />species, I calculated Euclidean distances according to <br />the equation: <br /> <br />TABLE I. Percentage overlap in morphology for all species within families in Easl Prong Lillie Yadkin (mean = <br /> <br /> CYPRINIDAE <br /> I 2 3 4 5 6 <br />1. Clinostomus funduloides 100 62 70 79 75 55 <br />2. Hybop,.;. hYP,';nolus 100 64 57 64 52 <br />3. No('omis ll~plocephalus 100 73 84 62 <br />4. Notropis analos/anus 100 73 55 <br />5. Nutrop;s chi/ilicus 100 68 <br />6. Phoxinus areas 100 <br />7. SemOlilus alromacularus <br /> ICT ALURIDAE <br /> I 2 <br />I. JC'laJurus nebu/osus 100 50 <br />2. ^,otufUS ;nsign;s 100 <br /> CENTRARCHIDAE <br /> 1 2 3 <br />I. Lepomis aurilUS 100 77 66 <br />2. Lepomis cJanel/us 100 70 <br />3. L('pomis macrochirus 100 <br /> PERCIDAE <br /> 1 2 <br />I. Erheosloma flabellare 100 52 <br />2. ElheoSfoma olmsted; 100 <br /> <br />factor k: and N = nine dimensions. The standardized <br />means are calculated according to the equation: <br />x',.. = (XI.. - X.l/SO. <br /> <br />where Xi.. = measured mean value for species i in fac- <br />tor k: x. = mean value for all x,.. for factor k, and <br />SO. = standard deviation of factor k. The use of this <br />formula has the effect of making the set of all species <br />means for each factor fit a standardized normal curve, <br />i e a normal curve with a mean of zero and a standard <br />de~'iation of one. The resultant array of Euclidean dis- <br />tances between coexisting species was taken as a sec- <br />ond measure of community structure. <br />The results of these analyses were analyzed in more <br />than one way. First, the results of both the percentage <br />overlap studies and Euclidean distance studies in each <br />of the three streams were compared with each other <br />for the emergence of a repeating pattern. Second, the <br />distribution of Euclidean distances between species <br />was compared to a distribution of distances which <br />would obtain ifall resources were used randomly. This <br />stochastic model which permitted direct testing for the <br />existence of "nonrandom assemblages of interacting <br />species" was developed as follows. First, a series of <br />"random niches" was generated using a random num- <br />bers table to assign a three-digit position for each hy- <br />pothetical species on each of nine independent dimen- <br />sions. Each of the nine random numbers assigned to <br />every hypothetical species was analogous to a mean <br />factor score for a real species on one of the nine factor- <br />analysis axes. Note that because each factor of the <br />factor analysis identified an independent suite of mor- <br />phological features, there need be no necessary rela- <br /> <br />O,.! = ..j r (x'J.k - X'J..)2 <br />.-, <br /> <br />where 0,., = Euclidean distance between species i <br />and speciesj; x',.. = standardized mean for species i in <br />factor k; x'J,. = standardized mean for species j in <br /> <br />tionship between the values found on one d <br />and those found on any other. This is signi! <br />cause it means that the hypothetical species E <br />were not composed of a randomly chosen in <br />combination of morphological features. Ratl <br />generated point in nine-dimensional space rc <br />the location of the center of a niche for a hn <br />species whose mean resource utilization in e, <br />niche dimensions has been randomly chosen. <br />sets of random niches were generated and 1 <br />acters were standardized as above for re; <br />scores. Finally, the distribution of Euclidean I <br />between all pairs of hypothetical species w; <br />mined for each of the 10 sets of random niche <br />these resulting distance distributions which w <br />pared with the distance distributions of reai <br />using Kolomogorov-Smimov goodness of . <br />tests and a randomization test (Sokal and Rol <br /> <br />RESULTS <br /> <br />The percentage niche overlaps for all possil <br />familial comparisons of sympatric species are <br />Tables 1-3. An important point to notice is t <br />the ranges of percentage overlaps and their l <br />(x = 64-66%) are nearly the same in all three <br />irrespective of the number of species present <br />fail to identify any significant differences <br />streams. The direct implication of this resul <br />the overall range of morphologies seen is a <br />function of the number of species present. E <br />ence, then. this broader morphological range <br />that more resources are being utilized and mo <br />