~sciocont Overall Team Lead
Posts : 3406 Reputation : 138 Join date : 2010-07-06
| Subject: Biome Quantification Sat Oct 22, 2011 8:50 pm | |
| I recently put up an update about how biomes can be measured and determined numerically. Here's the original text. - Quote :
- The key variables in the biome system are location, terrain, water, and succession.
Location depends on a couple of factors in itself, the main factor being latitude, which affects sunlight intensity, which in turn effects heat. Sunlight intensity and heat are both also controlled by atmospheric variables, which I have not yet written maths for, but the maths for them are fairly simple. Latitude also affects seasonality, which in turn plays back into light and heat.
Light will be measured by a sin function whose y values correspond to watts/m2 and x coordinates correspond to time (in years)
Terrain also is a factor in biomes. The overall shape of the terrain and the elevation help determine whether a biome can reside in a certain place.
Water is a very important variable. It determines the overall type of biome. There are three of these overall categories, which are aquatic, terrestrial, and intertidal. These names speak for themselves. For terrestrial biomes, water will be measured in mm/year. For intertidal biomes, water will be measured by salinity and tidal period. For aquatic biomes, water will be measured by salinity, DO (dissolved oxygen) levels, and depth (which limits light determined by location)
Succession is measured in succession stages, which correspond to nutrient values. Succession stages, of which there will be 4 or 5, are measured in nutrients/m2 of ground area (this assumes that all of the area of soil underneath that square meter is usable and contains an even amount of nutrients per square meter) I'll extrapolate on this here, and hopefully there will be a good amount of discussion to refine the concept. Here are the fine details on the variables. Location- Spoiler:
I've already posted equations on light intensity by latitude. - Quote :
- 1) Sunlight intensity by latitude
l=le(cos(90°-d°))
Where l is light intensity le is light intensity at the temporary equator (place where light hits the planet @ highest intensity (90°) d is degrees latitude measured from temporary equator And seasonal difference in light intensity by latitude. - Quote :
- t/.9°=ds
Where t is the tilt of the planet on its axis, in degrees ds is the difference in sunlight intensity from summer to winter So for any latitude d, if the planetary tilt is added to and subtracted from d, you will have the latitudes that d cycles through throughout the year. This can be defined as a cosine wave passing in between these latitudes. That gives us seasonal variance in latitude for latitude d. If you take the min/max latitude of d and plug them into the light intensity equation, you will get the light intensities that the biome cycles through. Over about four hours of meddling, I finally came to an equation that shows seasonal variance of light intensity of any latitude. l=-|2le(d+cos(x)/π)|+2leWhere the upper limit for light intensity is le and all values for l below zero equal zero. x is the point in orbit where the planet is, in radians d is the degrees latitude, in radians l is the light intensity at dle is the light intensity at the equator
Now that we know the light intensity, we can predict the climate. I'm writing stuff for this as we speak, to translate light intensity into heat. Once I've done that, we'll have a seasonal curve. We can then split the planet into areas of latitude with a certain seasonal curve. The next step is to determine the "water" factor in these areas, which will further subdivide these bands. After that, the terrain geometry will subdivide the latitudinal areas again. We will have a list of biomes which contain value ranges for each of these variables. Therefore, once the planet is subdivided, we can assign each region to a certain biome!Once biomes have been defined, they can be populated. Biomes are populated by autotrophs first. Because the process for populating autotrophs is quite lengthy, I'm creating a new thread for it.
Last edited by ~sciocont on Fri Nov 04, 2011 4:48 pm; edited 5 times in total | |
|
Mysterious_Calligrapher Biome Team Lead
Posts : 1034 Reputation : 26 Join date : 2010-11-26 Age : 32 Location : Earth, the solar system, the milky way...
| Subject: Re: Biome Quantification Sat Oct 22, 2011 10:59 pm | |
| I just threw up a little in my brain, scio. | |
|