Due February, 20IS Problems: (Use equations from equation sheet (not textbook) i

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Due February, 20IS Problems: (Use equations from equation sheet (not textbook) in problems.) (Use R instead of .) 1. Cohort Life History Table: Cohort life table for í3 year cicadas. The population in one area is a single cohort with generation time (G) of 13 years: Calculate (a) survivorship, (b) mortality rate, (c) vidual fecundity schedule, (d) basic net reproductive rate and (e) intrinsic growth rate (/year) (r). Developmental stage Fx x x bx 1lxbx 1,000,000 Egg First instar 150,000 Second instar 80,000 Third instar 27,000 Fourth instar 18,000 Fith instar 12.000 1,500,000 Adult 12,000 1,500,000 plant populat tion with generation time (G) of 1 year: Calculate (a) survivorship, (b) mortality rate , (c) individual fecundity schedule, (d) basic net reproductive rate and (e) intrinsic growth rate (year) lxbx nx 25000 6000 4500 1200 650 ·24 Seedling Over wintering plants Flowering plants Fruiting plants 048

Explanation / Answer

Problem 1:

How everything was calculated:

a) Survivorship -> lx=nx/n1, for example for 1st instar -> l2 =n2/n1 = 150,000/1,000,000 = 0.15

b) Mortality rate -> qx=[lx-(lx+1)]/lx, for example for 1st instar -> q2 =[l2-(l3)]/l2 = (0.15-0.08)/0.15 = 0.46

c) Individual fecundity schedule -> bx=Fx/nx = b7 = F7/n7 = 1,500,000/12,000 = 125

d) Basic net reproductive rate Ro=(lxbx)= 1.5

e) Intrinsic growth rate-> r = ln Ro/Tc , where Tc = cohort generation time = 13 years

r = ln (1.5)/13 = 0.031

Problem 2: Use same equations as in problem 1

d) Basic net reproductive rate Ro=(lxbx)= 4.81

e) Intrinsic growth rate-> r = ln Ro/Tc , where Tc = cohort generation time = 1 year

r = ln (1.5)/13 = 1.57

Number alive nx Number of eggs produced at each age Fx Survivorship lx Mortality rate qx Birth/individual fecundity schedule bx lxbx egg 1,000,000 0 1 0.85 0 0 1st Instar 150,000 0 0.15 0.46 0 0 2nd instar 80,000 0 0.08 0.66 0 0 3rd instar 27,000 0 0.027 0.33 0 0 4th instar 18,000 0 0.018 0.16 0 0 5th instar 15,000 0 0.015 0.2 0 0 Adult 12,000 1,500,000 0.012 - 125 1.5

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