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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