2. Consider a population of mycorrhizal fungi, all with equal access to a single tree. When all of the fungi invest equally in the tree, each fungi's growth rate (g) is proportional to its investment (z), like g(z) = az However, if a single (or small fraction of the total) fungi instead invests y, the rare individual(s) growth is instead g(y) = y(a + z-y) What is the evolutionarily stable strategy for the fungal investment in the tree?

Biology: The Unity and Diversity of Life (MindTap Course List)
14th Edition
ISBN:9781305073951
Author:Cecie Starr, Ralph Taggart, Christine Evers, Lisa Starr
Publisher:Cecie Starr, Ralph Taggart, Christine Evers, Lisa Starr
Chapter46: Ecosystems
Section: Chapter Questions
Problem 5CT: As noted in Section 46.7, mycorrhizal fungi help prevent carbon in the soil from escaping into the...
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2. Consider a population of mycorrhizal fungi, all with equal access to a single tree.
When all of the fungi invest equally in the tree, each fungi's growth rate (g) is
proportional to its investment (z), like
g(z) = az
However, if a single (or small fraction of the total) fungi instead invests y, the rare
individual(s) growth is instead
g(y) = y(a + z - y)
What is the evolutionarily stable strategy for the fungal investment in the tree?
Transcribed Image Text:2. Consider a population of mycorrhizal fungi, all with equal access to a single tree. When all of the fungi invest equally in the tree, each fungi's growth rate (g) is proportional to its investment (z), like g(z) = az However, if a single (or small fraction of the total) fungi instead invests y, the rare individual(s) growth is instead g(y) = y(a + z - y) What is the evolutionarily stable strategy for the fungal investment in the tree?
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