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Week 4 Assignment I: Growth Phase Calculations is due on August 6, 2020.
https://unity.instructure.com/courses/2951953/assignments/27399843?module item id=58580935 1/3 Week 4 Assignment I: Calculations for the Growth Phase
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To say the least, 2020 has been a difficult year, and the world is in desperate need of some good news. We need a hero, not just good news. Diego (https://www.cnn.com/2020/06/16/americas/diegotortoiseretireshomescliintl/index.html) saved his species (the Espaola Galapagos tortoise) by fathering 800 offspring. Diego is leaving when the population reaches 2,000 tortoises.
Population size is important, as we saw last week. This implies that you started with a large number of genetically diverse founders, but this isn’t always the case. There were 12 females and two males among the Espaola Galapagos tortoises. As a result, you may need to increase the size of your population to maintain stability and avoid an unacceptable loss of genetic diversity over time, even if that genetic diversity is low. If you recall last week’s math and do a little notsofancy algebra, you’ll notice that genetic deterioration occurs at a rate that is the inverse of genetic retention, which you probably remember as 1 (1/2Ne).
Week 4 Assignment I: Growth Phase Calculations https://unity.instructure.com/courses/2951953/assignments/27399843?module item id=58580935 Week 4 Assignment II: Growth Phase Calculations https://unity.instructure.com/courses/2951953/assignments/27399843?module item id=58580935 2/3
According to the equation above, you will retain XX percent of genetic diversity after one generation. If you have a Ne of 5, for example, you will retain 90% of your genetic diversity after one generation. That’s not a good sign! Of course, this also means that at a very large captive population size of 100, you only retain 99.5 percent of genetic diversity after one generation. Which may not appear to be a big deal, but consider the long run.
Please respond to the following questions. Submit your responses through Canvas.
1. What effect does the Ne/N ratio have on the equation above?
What are the consequences of a low or high Ne/N ratio in the real world?
Assume the Espaola Galapagos tortoise captive population had a Ne/N ratio of 0.7 at the start. Calculate their genetic diversity loss rate based on their original population size.
Let us now work on increasing the population. In general, lambda () is used to represent growth rate in SSPs. A population that is increasing at 8% per year is given a value of 1.08, while a population that is decreasing at 8% per year is given a value of 0.92. Alternatively, a >1 indicates constant population growth, while a 1 indicates constant population decline.
can be calculated by dividing the current population size by the previous generation’s population size. Alternatively, = Nt/Nt1
We won’t go into detail here, but has a significant impact on genetic projections. The projections for the aye aye (Daubentonia madagascariensis) from a 2019 SSP for the species are shown below. It’s worth noting that differences in growth rates of 1% (apparently insignificant) have significant consequences for the species.
2. Do the math for the Espaola Galapagos tortoise. Use this calculator (http://www.endmemo.com/algebra/populationgrowth.php) because the math gets complicated when you have 50 generations. )
Take that rate and run the numbers backwards to see if you can predict your population in 50 years. Was this the same phone number as before?
Week 4 Assignment I: Growth Phase Calculations is due on August 6, 2020.
https://unity.instructure.com/courses/2951953/assignments/27399843?module item id=58580935 3/3
20.0 total points
Week 4 Assignment I: Calculations for the Growth Phase
Criteria Evaluations 6.0 pts 6.0 pts 8.0 pts pts pts pts pts pts pts pts pt
Why do you believe this occurs? What biological realities can have an impact on this type of growth? Consider the yearly variations in breeding success.
3. Now it’s time to work on increasing the size of your fictitious captive population.
Determine the size of the initial population.
Determine a reasonable population size target for the next five years.
Calculate the lambda value you’ll need and the number of people you’ll need to produce each year to meet your goal.
Determine the number of breeding pairs that are required. Calculate the success rates of breeding pairs with the following success rates: 0.3, 0.5, and 0.85.
Briefly explain the implications of the various breeding pair success rates.
Correctly interpreted the Ne/N ratio’s effects, both theoretically and in practice, and calculated the rate of genetic diversity loss.
Correctly interpreted the and elaborated on the implications of this rate as well as the biological realities that may influence it.
For your fictional captive population, I created a complete set of growth phase calculations.
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Calculations for the Growth Phase 
Calculations for the Growth Phase