Daisyworld a model for Gaia

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Daisyworld a model for Gaia
Area Fraction
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Spatial Models

• Cellular Automata models with real temperature
  fields

Continuous phenotypes, regulate perfectly
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Stocker Model

• Continuous analogue of the Carter-Prince equations

Simple quadratic growth function
Gaussian probability distribution
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Analytic approach Direct
Integrate equation once implies evolution for
coverage
Two fixed point Alive and Dead. Therefore
interesting behaviour around
Leads to
Recalls work of Levins (1969,1970) and Lande
(1976).
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Analytic approach Direct
Formal solution at steady state is a parabolic
cylinder function
For a skewless solution we find
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Analytic approach a role for fitness
This form of frequency dependent fitness yields
identical results to the previous
methodology Daisyworld with Quantative genetics!
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Regulation?

• Regulation is not perfect, we still have gradient

What happens if q is a heritable parameter?
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• Daisyworld
• The Review

Coming Soon