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Home/Biophysics, Fluids & Geoscience/Daisyworld (Climate Regulation)

Daisyworld (Climate Regulation)

Daisyworld couples a zero-dimensional Stefan–Boltzmann balance σT⁴ = (1−⟨α⟩) L S₀/4 to two daisy species whose cover fractions evolve on available bare ground. Each species has its own albedo and a simple parabolic growth rate versus local patch temperature T_i = T + q(⟨α⟩−α_i), so black daisies are warmer than the mean and white daisies cooler. Death provides turnover. Sweeping luminosity L reveals how the inhabited planet can track a narrower surface-temperature band than the same planet with fixed bare-soil albedo alone — the pedagogical “regulation” effect.

Who it's for: Introductory biogeoscience, astrobiology, or nonlinear dynamics modules.

Key terms

  • Daisyworld
  • Gaia hypothesis
  • Albedo feedback
  • Homeostasis
  • Luminosity

A minimal homeworld lesson: life can couple to albedo and thermostatically soften climate sensitivity to stellar output — still a cartoon, not a biosphere model.

Live graphs

Gray: equilibrium temperature with fixed bare albedo only. Green: after settling daisies at each L (continuation upward in L). Regulation narrows the T(L) curve vs the lifeless planet.

Planet & luminosity

1 ×
0.25
0.75
0.5

Global balance σT⁴ = (1−⟨α⟩)L S₀/4 with ⟨α⟩ = b α_b + w α_w + (1−b−w) α_g. Growth uses local patch temperatures T_i = T + q(⟨α⟩−α_i): black daisies warm relative to the mean, white daisies cool relative to it; bare area 1−b−w is colonized.

Growth & death

1.1
1.1
0.35
1.5 ×

Comfort windows (K)

265 K
285 K
278 K
302 K

Measured values

Surface T-39.11 °C
Black patch T-34.1 °C
White patch T-44.1 °C
Mean ⟨α⟩0.500
Black cover b8.0 %
White cover w8.0 %
Bare ground84.0 %
T if only bare soil-39.11 °C

How it works

Watson–Lovelock-style Daisyworld: black and white daisies modify planetary albedo and buffer global temperature as luminosity changes.

Frequently asked questions

Are these realistic daisies?
No. The model is deliberately minimal: no latitude, no clouds, no soil chemistry, and no evolution — only the qualitative coupling between life and reflectivity.
Why can T(L) differ from the bare-rock curve?
Because ⟨α⟩ depends on b and w, while b and w depend on local temperatures shifted by their albedos. That closed loop can buffer T against changes in L compared with a constant albedo.