Question

(Note) So I understand this problem, but the "λ = exp(r)" has me confused. Its worded poorly and I am unable to set up the proper equation. please help.

Based on data from this study and others studies he estimates r=-0.015 and λ= exp(r). Assume current

population size (N0) is 3000 individuals. Using the geometric and the exponential growth models, calculate

population size at t=100

a.669.4, 576.2, respectively

b.576.2, 576.2, respectively

c.669.4, 669.4, respectively

d.576.2, 669.4, respectively

e.777.7, 777.7, respectively

Answer 1

ANSWERS: Given 7 M = -0.015. e No = 2o. t = 10. Applying the equation of exponential growth N = No pret model, = 3000 x 2-0.015 x 10 muro = good xolos is not = 3oo x 0.22 = 669.4.

Applying the squation of geomelec prowth reale . Nt. on en (n), en (Nitzig (Given, 10 a evet NE). ) or en n=re. or ret = ln (Nation for time = f, len na reb: OR if = ln (Nie+o) - en (Nu). on -0.05x - 2)(N + 1) - Ân(260) ore Flis + ln Bars) = ln (N+tion) on -105 + 8.00636457 = ln (Nz+100) on 6.50686 457 = ln (Netwo) ere N4+100= e C.50696754 ore N7100 = 669.39 Caus).

Hence, the coreect option is (c) i.e, 669.4, 669.4 respectively.