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Fitting Curves to crocodilian Aqe-<strong>size</strong> Data:<br />

sone Hesitant Recommendal ions<br />

by<br />

C. L. Abercroirbie. III<br />

wofford College<br />

Spartanburg, SC 29303<br />

USA<br />

frrtroiluction<br />

While we are gathered together every tvro years, somebody<br />

usually gets up to tell us about crocodiltan growth rates, and<br />

as he or she tafks, most of us stay around to listen. Beyond<br />

nere politeness, there are at least three reasons for our<br />

forbearance. First, we believe that the relationship betr{reen<br />

crocodilian age and <strong>size</strong> is biologically interesling and<br />

directly relevant to most nanagement strategies. Second, we<br />

understand that after you've caught a croC which is to be<br />

released, you must do sonethinq to justify the trouble,<br />

expense, and fun of the hunt. Measuring an aninalrs <strong>size</strong> is<br />

rrdoing something," and if one can also es€ablish an age for the<br />

varhint, so nuch the better. Third, as scientists most of us<br />

really like to measure things, to systernatize our neasurenencs,<br />

and to te]1 other scientists about what we have neasured. In<br />

our vork rre concentrated on the t'systenatiz ingtr part of the<br />

process, and to do so r^re have (1) evaluated th; fit of three<br />

nodels to sanples from a population of sinulated crocs whose<br />

underlying growth pattern is known and (2) tried to deternine<br />

horat wefl severaf hodels perforrn inductively vhen we use then to<br />

generalize beyond sanples from an actual ciocodile population.<br />

This paper is divided into six sections. In the first<br />

ve explain how we createa our population of sirnulated crocodil_<br />

aans and how we took satmples froh it. In the second section we<br />

describe the rnodel s hrhich we fit to the samples. In the third<br />

section ve evaluate the fit of the variouJ rnodels. Next, in<br />

section four, we describe another set of models and explain how<br />

we applied then to sanples frorn a population of c;ocodvtus<br />

acutus. In the fj.fth section. we evaluate rnodel perfonnance.<br />

And in our concfusion we offer tentative recommendaiions on hovr<br />

one night sunlnarize crocodilian growth patterns.<br />

Section I! Sinulateal populatiorls anal gaDples for AnaLygis<br />

we constructed a simulated crocodile population whose<br />

nembers grow according to a known function. we;Ilornred random<br />

wariability around that qrowth function (rnean ahplitude of the<br />

variability is proportional to a given aniha-l,s predicted<br />

<strong>size</strong>). Frorn ttrat population we tooi trl'enty-five priUaUitity<br />

sanples according to each of three different sahpli;g schenes.

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