Please help me with these ungraded practice problems. I am a bit confused. Draw the plots using google sheets or excel and please include pictures of the plots and directions on how you plotted it. Equation 3 and 4 are attached as images. Equation (3) is density independent because the population growth that takes place between time t and time t +1 does not depend on the population density N. That is, it is density independent because there is no N term on the right hand side of Equation (3). In contrast, one possible discrete time mathematical model that includes density dependence (equation 4) is where K is the carrying capacity (expressed in units of population density). Note that when Nt= K, the whole term in the exponent equals zero. Since e0 = 1, this means that the ratio Nt+1/Nt does not change from one year to the next when Nt = K. 1a) Draw a plot of the ratio of population densities in Eq. (3) as a function of N if you set if r = 0.05. 1b) Draw a plot of the ratio of population densities in Eq. (4) as a function of N if r = 0.05 and K = 100. 1c) Explain how the plots in Questions #1 and #2 differ with respect to their dependence on N?
Please help me with these ungraded practice problems. I am a bit confused.
Draw the plots using google sheets or excel and please include pictures of the plots and directions on how you plotted it. Equation 3 and 4 are attached as images.
Equation (3) is density independent because the population growth that takes place between time t and time t +1 does not depend on the population density N. That is, it is density independent because there is no N term on the right hand side of Equation (3).
In contrast, one possible discrete time mathematical model that includes density dependence (equation 4) is
where K is the
Nt+1/Nt does not change from one year to the next when Nt = K.
1a) Draw a plot of the ratio of population densities in Eq. (3) as a function of N if you set if r = 0.05.
1b) Draw a plot of the ratio of population densities in Eq. (4) as a function of N if r = 0.05 and K = 100.
1c) Explain how the plots in Questions #1 and #2 differ with respect to their dependence on N?
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