Lec.25.Study.Guide

# Lec.25.Study.Guide - BIS2B Lecture 25 Fall 2008 Logistic...

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BIS2B Fall 2008 D. R. Strong Lecture 25 Logistic Growth, life tables,, & age structure. Density Independent Population Growth Review questions: Complete the sentence. 1.The two rates that tend to increase N are: _birth rate___& immigration rate ____. 2.The two rates that tend to decrease N are: ____& ____. 3.Open (closed) populations include which rates ? ________,_________,________,& _________, (______ &_________) 4. Demography means? _____________(look at Wikipedia definition). 5. Define population density. 6.. We give credit to ___________for discovering the basic logic of population growth with limits (hint, he had huge influence upon Darwin and Wallace regarding their discovery of natural selection). 6. Which of the following understood the logic population growth with limits? Ancient Greeks, Romans, the spectacularly powerful early Chinese societies, early Christian philosophers, the great pre-medieval Islamic philosophers and mathematicians who discovered the decimal system (note that the Romans were suffering with no more than Roman numerals at this time and Europe was a little more than huddled mass cowering before the Vikings during these times), the natural philosophers of 19 th C England: _____________. 6. Recount Malthus’ syllogism of population (you may use modern spelling). 7. Write the finite, discrete formula for exponential (unlimited) population growth, and define terms. 8. Write the continuous, infinitesimal formula or model of unlimited population growth, and define terms. 9. What is a key difference between these two formulas or models? 10. Write the formula that relates r to λ ___________________________. 11. Draw the minimum number of graphs (and label axes unambiguously) showing population size through time for populations growing exponentially: with λ >1, 0< λ <1, λ =1, r>0, r<0, r=0. 10. How many graphs did you draw in 9 that are different one from another? ____________. 11. Why is the word “unambiguously” key to your graphs in 9. _____________________________________________________________________ _____________________________________________________________________. 12. Asking 11 a different way, how could your graphs in 9 have been drawn to be ambiguous (ie. they might be right, sort of look that way, but we really can’t tell, etc.). 1

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BIS2B Fall 2008 D. R. Strong Lecture 25 Logistic Growth, life tables,, & age structure. 13. Give the doubling time for the following three populations, 1% per year increase ____________. 3 % per year increase ____________. 6 % per year increase ____________. 14. Learn to understand the distinction between arithmetic axes, log axes, and semi-log axes. In the illustration below, x and y are vectors of numbers from 1 to 100. In A. they are plotted as y versus x, arithmetically. In B. they are plotted log10 y versus x, semi logarithmically A. B. 2
BIS2B Fall 2008 D. R. Strong Lecture 25 Logistic Growth, life tables,, & age structure.

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Lec.25.Study.Guide - BIS2B Lecture 25 Fall 2008 Logistic...

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