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Points 1-5 below describe the construction of the population'<br />

Points 6 anal 7 explain how the samptes vere caught.<br />

1. Each siliulated crocodile in our population is<br />

constructed to have a knor,in aqe (rneasured in days) and a known<br />

total length (heasured in centimeters) .<br />

2. The sinulated population of crocodilians l^tas created<br />

and 'tgrownl according to a formula that gives predicted total<br />

Iength at tine t (PTLt) as a function of age (t) and 4 growth<br />

paramecers:<br />

PTLI =<br />

[Sa1_m<br />

-(S"t"' - n),<br />

So1'n)e(_211+n]t/r)11/(1<br />

where s^ is asyrnptotic fength, ir'is the curve shape parameter,<br />

s^ is ldnqth -loqarithhs, at time zero (hatchling tength), e is the base of<br />

nhtural<br />

t is tine, and T is the grouth-rate<br />

paraheter a: expressed by Brisbln et al. (1986). For this<br />

sinulated population we chose parameter values approximatefy<br />

equal to those estirnated for a south Florida population of<br />

crocodvlus acutus.<br />

'<br />

3. originafly this sinutated population had one animal<br />

at ewery even-day age from 2 days to 8000 days. Then each<br />

sihulatad animal was assigned a "survival probabitity." This<br />

probability decreases r.rith age in such a vray that:<br />

by<br />

a. From t=o to t=36o, survival probability, P, is gliven<br />

P = (o.998076)t;<br />

i.e., about half of the anihals night be expected to die off by<br />

one year of age.<br />

given -<br />

b. Frorn t= 361 to t = a000, survival probability rs<br />

by<br />

F = (0.5)*(o.999711)t'360 -<br />

i.e., aninals that reach one year of age rnight be expected to<br />

ffdecay outl by about IOZ/YeaY.<br />

4. Aninals were "kill-ed off'r according to their P (or<br />

survival probability, as described above) by conparison aqainst<br />

r Many readers wilf recognize the above equation as the<br />

fuII, four-pararneter Richards node1. S" i.s set at 400cm; n 1s<br />

set at 0.273; s" is set at 3ocn; t (agel is measured in days;<br />

T is set at 6000 days. Given these parameter values, the<br />

equation sinplifies to approxinately<br />

PTLr = 177,929-(66.075)*EXP(-o.ooo4243'rt) l^1.3755

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