The zero-growth isocline of species 1 (red) crosses the vertical axis at 273.33
ID: 227556 • Letter: T
Question
The zero-growth isocline of species 1 (red) crosses the vertical axis at 273.33 and the horizontal axis at 410, and the zero-growth isocline of species 2 (blue) crosses the vertical axis at 410 and the horizontal axis at 273.33. What is the main characteristic of an isocline (i.e. give its definition) Calculate a and p. Provide a detailed answer. Include the meaning (in mathematical terms) of the intersection between the isoclines, as well as the meaning of their slopes Draw on the graph the arrows representing the direction of population growth within and outside the area under both isoclines (think back to the diagrams shown in Tutorial 7) Based on these arrow, this corresponds to which of the Lotka-Volterra competition outcomes (I, II, III, or IV)? Explain Assuming that the intrinsic population growth of each species is identical (r_1 = r_2), what happens if one increases the initial population size of species 1?Explanation / Answer
we can see that the isoclines cross one another, but in this case both species' carrying capacities are lower than the other's carrying capacity divided by the competition coefficient. Again, below both isoclines the populations increase and above both isoclines the populations decrease. In this case, however, when the populations of the two species are between the isoclines their joint trajectories always head toward the intersection of the isoclines. Rather than outcompeting one another, the two species are able to coexist at this stable equilibrium point (open circle). This is the outcome regardless of the initial abundances.
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