<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 />
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