Assignment 3

# Assignment 3 - Population ecology assignment 3 Structured...

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Unformatted text preview: Population ecology assignment 3: Structured populations 1. Below is a table showing data from a study of a deer population. Ecologists measured the number of deer in each age class each year at the same time of year. Each number in the table shows the number of deer in a given age class counted in a given year. This table is incomplete. The researchers actually observed deer (estimated to be) up to 11 years old. Deer census data x 0 1 2 3 4 5 6 7 8 1966 23 14 15 9 4 5 0 1 1 1967 18 20 9 10 6 3 5 0 0 1968 25 10 16 7 4 2 3 4 0 1969 17 13 8 5 2 3 2 3 2 1970 23 11 7 4 3 0 1 2 2 a. If you assume that this population has a constant life table, how would you estimate px for this population? What are your estimates? This question will require some thought, and is worth thinking about. b. What are your estimates for ￿x in this population? c. What further information would be required to estimate the values of fx for this population? 2. A population has a constant life table, and a reproductive number R = 1.2. What can you say about the value of λ? 3. A population has λ = 1.5 at its stable age distribution. If 50% of individuals counted at age 1 survive to age 2, what is the ratio between age class 1 and age class 2 in the stable age distribution? 4. A scientist studies a population of mice. She ﬁnds that they reproduce once a year, that a reproducing one-year old female produces (on average) 1 female oﬀspring who survives to reproduce, and that a reproducing two-year old female produces (on average) 4 female oﬀspring who survive to reproduce. She also ﬁnds that 50% of females survive from the ﬁrst to the second year and no individuals survive beyond this. a. Make a life table for this population. b. What is the reproductive number R for this population? c. What do you guess would be the stable ﬁnite growth rate λ for this population? d. Use the equation lation. ￿ x ￿x fx λ −x = 1 from class to calculate λ for this popu- c ￿2010 by Jonathan Dushoﬀ and the 3SS teaching team. May be reproduced and distributed, with this notice, for non-commercial purposes only. 2 ...
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