1) You are conducting a mark-recapture study of a population of snouters. During your first sampling period you go out and catch/mark/release 141 snouters. You return to your snouter population 2 months later and catch 102 snouters of which 78 are marked. Please estimate how many snouters are in the population. Using this type of estimation technique, what assumptionshave you made about immigration, emigration, births,
and deaths.
2) Assume that for the snouter population rmax= 0.05, N as estimated above and K = 350.a - For this population, calculated N/dt based on the population estimate you did above modeling growth according to the exponential growth equation and what the population size will be one time interval into the future. For N use the estimate you obtained in #1 above. (Please realize that dN/dt is only the rate at which the population changes - you will still need to calculate the new population size)
b - Please repeat 2a but this time calculate dN/dtusing the logistic growthequation and what the population size will be one time interval into the future. For N use the estimate you obtained in #1 above.
c - How do these values differ and why?
3) Please graph the following for the exponential growth equation when r>0. (You may have to do some algebra to figure these out.)
dN/dt = y N= y 1dN/Ndt= y
N =x t= x N= x