# Where would you position the firefly on hh in Fig 1?

Learning Goal: I’m working on a economics exercise and need an explanation and answer to help me learn.1.Malthus-Darwin model – Note the 7 equations that we used to derive and clarify the 2 core equations in the Malthus-Darwin model, including (1) and (7) that are mapped onto Fig. 1. Y = Pα(AT)1-α (1) Y/P = φ (2) gP = gY = gA + gT (3) dP = sY – δP, (4) dP/P = gP = sY/P – δ, (5) sY/P – δ = gA + gT (6) sY = (gA + gT + δ)P (7)a.Identify the set of FIND/REPLACE strokes that convert the Malthus-Darwin model to the standard Solow model. Just write these down. b.Draw and label a graph similar to Fig 1.c.Explain how the analysis of a one-time change in A in the Malthus-Darwin model functions in the Solow model. Specifically, explain how the “impact” effect and the “induced” effect differ as between the two models. d.With this transformation, as compared with the Malthus-Darwin model, for the Solow model, could the terms “survival” and Competitive Exclusion Principle assume any significant meaning? Explain. 2.Becker et al. Note Fig. 1 and Fig. 2:a.Discuss conditions that may shift the returns to the education curve hh in Fig 1 to h’h’ in Fig. 2b.Discuss the conditions that may then shift the intercept of the h’h’ curve in Fig. 2 to h’’h’’.c.Where would you position the firefly on hh in Fig 1? Why?d.Given that K-selected species (e.g., chimpanzees and elephants) exhibit substantially lower fertility rates than r-selected species (e.g., insects and mice), in the Becker et al scheme, r-selected individuals should be expected to function at the H = 0 stable equilibrium, while K-selected individuals would function at the H = H* stable equilibrium. Choose a plausible K-selection species (other than a human) and describe the kind of “species capital” that a growing member of that species may be accumulating.
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