DaisyBall simulator screenshot
Run DaisyWorld / DaisyBall.

DaisyBall, the Math

DaisyBall uses the same math described in DaisyWorld - the Math, except:

  1. DaisyBall has 92 locations, to DaisyWorld's one. Each location has a separate multi-species DaisyWorld calculation running. Each of the 92 locations is drawn with one daisy on the ball.
  2. Since the base deathrate is 0.3, the petals of a daisy are colored based only on the 0.7 (70%) of daisies which could ever be alive. For example, if a 6-petaled daisy represents a population of 30% barren, 45% black, and 25% white, it is drawn with 4 black petals and 2 white petals.
  3. The luminosity at each DaisyBall location depends on its latitude. The planet is tilted at 23.5 degrees, which gives even the poles some light density.
  4. In order to use the same luminosity plot limits as DaisyWorld, the base albedos of black and white daisies are 0.2 and 0.8, compared to DaisyWorld's 0.25 and 0.75.
  5. There are two kinds of insulation in DaisyBall - instrasite insulation between one color population versus the multispecies location temperature, and planetary insulation between the location and the world temperature. DaisyWorld uses insulation of 0.12 between one-color population and the planet (which is the single multi-color site). DaisyBall uses 0.12 for intrasite insulation, and 0.3 for planetary insulation.
  6. Since DaisyBall has 2 orders of magnitude more work to do with all those parallel DaisyWorlds running, it uses 2 orders of magnitude fewer convergence steps per luminosity step - 25, compared to DaisyWorld's 1000.

I don't believe typesetting the math here would help anyone understand it.

Please don't take the color names seriously - that's pure creative license. They don't match the albedos of ground cover on Earth. Here are some actual terrestrial albedo values:

Ground coverAlbedo
deep water.05 - .20
desert.20 - .35
short greenery.10 - .20
dry vegetation.20 - .30
summer conifers.10 - .15
deciduous forest.15 - .25
snowy forest.20 - .35
dry snow.60 - .90

Cloud cover probably also varies up to 0.90 albedo.

Further Information

Other help files: