You are conducting a markrecapture study of a population of

You are conducting a mark-recapture study of a population of snouters. During your first sampling period you go out and catch/mark/release 135 snouters. You return to your snouter population 2 months later and catch 1088 snouters of which 75 are marked. Please estimate how many snouters are in the population. Using this type of estimation technique, what assumptions have you made about immigration, emigration, births, and deaths. Assume that for the snouter population r_max = 0.03, N as estimated above and K = 800. For this population, calculate dN/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 repeat 2a but this time calculate dN/dt using the logistic 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. How do these values differ and why? Please graph the following for the exponential growth equation. (You may have to do some algebra to figure these out.)

Solution

1)number of snouters caught at first sampling=135

number of snouters marked=75

number of snouters present=1088

number of snouters in population=1088-135-75=>878

The snouters alive=878

the snouters dead=75 as they are marked

the snouters emmigrated orimmigrated=878-75=>803