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Unformatted text preview: N t+1 =200*R 20 = 200*(1.2) 20 = 7667.52 (7) How long does it take for the population to increase 10fold? 10 = 1.2 t ln(10) = t ln(1.2) t = 12.629 12 years and 7month (8) If the number of eggs laid per adult female frog were 10% higher, what percent higher would the projected size after 20 years be? 200 eggs : 1.2 20 *200 = 7667.52 200 + 200*.1 = 220 eggs : f=110*.012 = 1.32 220eggs : 220*1.32 20 =56741.56 56741.56/7667.52 * 100 = 740.025% (9) If there are 520 frogs after 10 years, what is the average annual growth rate and was it larger, smaller, or the same as the estimate from question 3? 520 = 200*R 10 R = 1.1 It is smaller than the annual growth rate in Question 3. (10) If the frogs were iteroparous, but still had the same annual fecundity as in question 1, how would this affect the growth rate? f = 1.2 s = 200 * 0.012 = 2.4 R = f+s = 3.6 Therefore, R is greater than the R in question 1....
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 Summer '08
 GINZBURG
 Statistics, Aristophanes

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