BIOL 2060 Lecture Notes - Lecture 6: Net Reproduction Rate, Top Hat, Generation Time
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You are part of a group of researchers examining the survivorship and fecundity of Bengal Tigers (Panthera tigris tigris) in the Kalakkad Mundanthurai Tiger Reserve in the South Indian state of Tamil Nadu. Parts of the reserve are well-protected from poaching, and other parts are largely unprotected. Over a period of several years, youâve gathered demographic data (summarized below) on tigers in both poached and unpoached locations; assume that mx numbers represent female offspring born per female. Note that your demographic data begins at age 1, and does not include survivorship of cubs from birth to age 1. Also, note that Sx is listed here -- this is related to, but is NOT the same as lx⦠To calculate r, use the formula r = ln(Ro)/T
Including | |||
unpoached | poached | ||
Tiger age (x) | Sx | Sx | Mx |
0 | 1 | 1 | 0 |
1 | 0 | ||
2 | 0.83 | 0.69 | 0.04 |
3 | 0.91 | 0.65 | 0.64 |
4 | 0.9 | 0.62 | 0.78 |
5 | 0.85 | 0.6 | 0.71 |
6 | 0.76 | 0.58 | 0.77 |
7 | 0.73 | 0.58 | 0.77 |
8 | 0.61 | 0.58 | 0.77 |
9 | 0 | 0 | 0 |
a. Use the âunpoachedâ data to produce a life table that extends from birth (age 0) to age 8. Use this life table to estimate the probability of tiger cub survival from birth to age 1 (s1) that would be required to make the tiger population of the unpoached portion of the refuge stationary (neither growing nor shrinking). Calculate Ro, T, and r for this population.
Last winter and spring you studied a population of an annual plant in the desert. All individuals of this species contain both female and male parts (i.e. all plants produce seeds). In a study plot, you monitored a whole generation of this plant, from seeds to death, noting how many seeds or offspring each plant produced. At the beginning, there were 100 individuals or seeds. After 5 months, all the individuals you began monitoring had died. You summarized your data in the following table.
Age (months) | Number surviving to end of month | Average number of seeds produced per individual plant during the month |
1 | 100 | 0 |
2 | 60 | 4 |
3 | 30 | 2 |
4 | 10 | 4 |
5 | 0 | 0 |
Over the course of this study (1 generation), each plant in this population produced an average of how many new individuals or seeds?
a. | 0.6 | |
b. | 1.92 | |
c. | 3.4 | |
d. | 10 | |
e. | 348 |