size: 5036KB - Crocodile Specialist Group
size: 5036KB - Crocodile Specialist Group
size: 5036KB - Crocodile Specialist Group
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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