At what solar luminosity is the area coverage of white daisies and barren surface equal? Hint: hover your mouse over the curves on the graphs to see the associated values.
At what solar luminosity is the area coverage of black daisies and barren surface equal?
At what solar luminosity is the areal coverage of white and black daisies equal?
What is the planetary temperature at the point when white and black daisies have equal areal coverage?
Which daisy inhabited planet stays closest to the daisies' optimal temperature of 22.5oC across the range of solar luminosities?
A. white Daisyworld
B. black Daisyworld
C. white and black Daisyworld
Real daisies have an optimum growth temperature of 22 oC and they go extinct attemperatures 20 oC warmer or colder than this value. Let's assume that they cover 100% ofDaisyworld at their optimum growth temperature. A parabola that describes this mathematicallyis:
where c= percent daisy coverage and T= temperature (see Figure 2-9). Assume that thetemperature of this white Daisyworld depends on the daisy coverage according to theequation T = 60 - C/2 (this describes a line with a negative slope as shown in Figure2-7.)
Find the two equilibrium temperatures of this system. Hint: you can solve both the linearand quadratic equations for c, then set the two equal to one another and solve for T to find the equilibrium temperatures. The cooler equilibrium temperature is _____ .
The warmer equilibrium point is __________ .
The stable equilibrium point is __________ the optimal growth temperature.
A. warmer than
B. cooler than
C. the same temperature as