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<br />"I~
<br />
<br />COPEIA, [970, NO.3
<br />
<br />l=1
<br />
<br />c ~ 1.00000
<br />
<br />( ro~~'lo )
<br />
<br />( ~le90"'"\
<br />~
<br />
<br />L = z c= .94737
<br />( robu~IQ )
<br />110
<br />( elegan, )
<br />og
<br />~
<br />
<br />(-;;;b~;i~-)
<br />IIJ _-'
<br />
<br />~n;-Y
<br />IT)
<br />
<br />L=4 C::.097c7
<br />
<br />l= J
<br />
<br />c:: .94404...
<br />
<br />r~~
<br />~~
<br />~
<br />(CYih~
<br />
<br />l:: 5 C=.84211
<br />
<br />L IO~~;~)
<br />~ .'.qon. ""\
<br />\__~.~__X... 10J _J
<br />(CY~hO )
<br />
<br />l=6 C=.l-ag"l
<br />
<br />if-o~;~t;-)
<br />C3[) elegons )
<br />32: lOB
<br />fCYPhO\
<br />\....t.L)
<br />
<br />
<br />l= 1 C =.77778
<br />
<br />~ObU~
<br />134
<br />B --
<br />
<br />l:: 8
<br />
<br />C=.7360.c
<br />
<br />L:: 9
<br />
<br />C :: .684ZI
<br />
<br />Fig.:I. Results of the taxillletrics program [or :109 Gila speciIllC/lS. (1'\lIl1lher (.[ specimell.. ill'
<br />dieal,",1 ,\"ithill cad, dllsler; ExC = illtergradcs l",t\\'('(:1I e1"RaP/.< allll C)'/>lw; I. = I.evel; C = simi.
<br />larin' ",dllc.)
<br />
<br />ap;illg these values o"er a II cllaracters to p;ct
<br />Ill(' similarity ,'allle for tllat pail". For cx-
<br />ample. if spccimells wcrc the sallie for I!I
<br />of ~o characters. their similarity ,'allle wOllld
<br />he O.CJ:,OO.
<br />Ollce silllilarity ,';dlles lIave heell calcll-
<br />J;llcd. c1usterillg- of objects hef:;lIs. ;\
<br />"duster" is defilled :I,' ;/ grollp of o"jcClS.
<br />cadi more similal' to at kast Olle other mcm-
<br />her (objen) of tile gnlllp than to any object
<br />nnt ill the group. The program clllsters IlIost
<br />similar ohjecls first alld cOlltillues ullti[ all
<br />nbjeCls arc ill olle cluster. Clusterillg is
<br />done by Ie"els. each sllnTssi,'e level iucludiuf.!:
<br />;dl plT,'intls clustering. SuhclllSters, within
<br />a larger cluster, Gill he idelltified by internal
<br />cOllllenions. Conncctiolls arc lillcs of simi-
<br />larit)' hetll'eell memhers of a clustcr. The C
<br />or similarit)' valuc o( a level is the similarity
<br />o( objects cOllnected at that level. All melll-
<br />hers of a cluster at a certain le"c\ arc 1I0t
<br />11('ct'ssarily e<Jually similar.
<br />
<br />RESUUS ANll DISCUSSION
<br />
<br />Taxilllctrks Analysis
<br />
<br />.\ le,el f,y level I1arratioll o( the computer
<br />prillt-out (ollows and is illustrated in Fig. 3.
<br />I.en" I.-Clustcrin~ begau with tll'O cllIS-
<br />Icr,s r<lllllcd at a silllila,it)' vallie of 1.00000.
<br />Olle duster included fOllr fish fmm upper
<br />
<br />(;/"('cn Ri''l'r, three [mill H'hitc Ri,"Cr, [ollr
<br />from lippeI' Colorado RinT, alld cight fmlll
<br />Sail .Iuall Ri,"Cr. .\11 19 fish were typical
<br />,ollll"ln. 'rhe secoIld duster of 15 fish frOlIl
<br />UI'I'IT CreclI Rivl't" illcludnl only tYl'iral
<br />f'!f'gIlIH.
<br />l.en:1 2.-Silllilarity vallie lowered to
<br />11.'1.17:17. NilltY-OIIC lIew '"(:I""ers to the
<br />"mhll-'({t" cluster illcl"ded .1:' fish from uppcr
<br />Cn:ell It;,'c'-. 13 from \Vhite Rivcr, 12 fnllll
<br />Colo,;!,!" 1<"I,'Cr, I [ from San .Juan Ri'Tr.
<br />olle from Virgin Ri''l'r. amI II; lie from IIla(1
<br />River. The "rob win" duster 1I0W cOlltailled
<br />,,() ol,jeClS. The "drgtll"''' duster was
<br />joilled hy 7'1 new mClllhers, fiB frolll upper
<br />(;reClI Ri\"('r, two fmm Lake Powell. alld
<br />four [rom Lakc J\)oha,'c, makillg a total ,,/
<br />R9. Also, a third cluster formed, composed
<br />of six [ish (rolll Lake Powell collsidercd to
<br />he r":gtl7lS X C)'/lltfl illtergrades. IlItergrades.
<br />;,s used here alld ill the remailldcr of this
<br />l';lfler, arc (isll with illtergradillg morphology.
<br />which mayor may 1I0t he.hyhrids_
<br />Level .'l.-Similarity value lowered slightly
<br />to 0.91444. Three Ilew members joilled the
<br />",-ob/l_'ffl" c1ustcr; two fmlll upper GrcclI
<br />River, and Olle from '''hite Ri,-cr. One fi.h
<br />f rom upper Green River joincd the "clcgul1'<"
<br />cluster hut othcrwise it relllailled as ill
<br />I.C\TI 2_ The "C""gll7lS X (J'/lhll" duster did
<br />lint Ch;lnge from Le,'c1 2.
<br />
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