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1,9<br />

rejecting nufl hypotheses that reduced-parameter rnodels fit as<br />

vell as the full Richards nodel.<br />

c. Crocodilian populations often have lots nore<br />

young anirnals than 01d ones. 17<br />

Furtherrnore, practicable<br />

schemes (especially<br />

:lTpli"g<br />

those tnat secure known-age<br />

anrnals) sornetihes exacerbate the problen of disproportion;I<br />

representation by age. For these rJasons, individual' observa_<br />

t1ons of o1der, larger ani-mals often have extrerne statistical<br />

leverage on the shape of fitted growth curves. Thus one neeats<br />

to be careful- when fitting nathematlcal curves to age_stze<br />

data. For.exanple, one or tr^ro observations (perhlps of<br />

aberrant individuals) can lar.gely define the asyhpt;tic ienqth<br />

estimated for a popufation. 10 ihus .""o..6.rd trrit peopre<br />

renain cautious about describing crocodilian ""<br />

growth palrerns<br />

until- their sarnple includes a substantial nirnber of large<br />

an rnals.<br />

d. Given (1) the typicat structure of wild<br />

crocodr l lan-populations, (2) the nature of sampling strategies<br />

conventionally applied to their study, and (3) the behaviol of<br />

our sanple statistics under sirnulation, vre would reconnenal<br />

caution in the use of inferential procedures involving confi_<br />

dence intervals or fornal hypothesis tests. A1I too often our<br />

sample statistics did not fie vithin purported ,,95? confidence<br />

intervalsrr of the known population piraieters.<br />

3. Things one rnight cons.ider doing.<br />

a. If one is interested i; the overall qro,rth<br />

pattern of a crocodilian population, then it,s probably worth<br />

the extra trouble to ensure that older, larqer animals are<br />

represented aq least proportionat to their abunaahce in sanples<br />

to be analyzed.<br />

b. I,Ie believe that either the von Bertalanffy<br />

model or the full Richards hodel Inay often be used for sunnarizing<br />

the grovrth of crocodilians. The forner is rnore appro_<br />

priate if one \./ishes to cornpare results with other published<br />

data; the latter is probably better if one is concer;ed about<br />

the possibitity of technical 'rspecification error.,, ot course<br />

" In a sense, even lf one could examine every rnenber of<br />

a.living crocodilian population, the older, larger individuals<br />

l19l: pl""id..in inadequare ',sampten of the groinrlh trajecEorres<br />

ava IIaD.L e to the sDecies-<br />

18<br />

For exarnple, in our 35 sub-satnples of the C. acutus<br />

growth data, our best estirnation method produced e=titnaE""=ot<br />

asynptotic length ranging froh 263.4cn t-o szz.scrn. inese tvo<br />

extreme values were the exceptions to a general pattern lrith a<br />

sonewhat nore reasonable standard devi;tioh (g3cm), but one<br />

should note that they irere generated from randotn sarn6ies of the<br />

sane population of data boints

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