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Aeson -> RE: Planet population's approval rating (7/11/2014 2:06:01 AM)
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That is the conclusion that would be drawn from the equation given by the linked thread, yes. However, the equation does not appear to accurately predict the colony revenue at less than 50% planet quality, as the colony revenue at that point increases with increasing development, rather than decreasing as the equation predicts. It also appears to have issues at qualities close to 50%.
Still, using a scaling factor of 16, the equation appears to provide a reasonably accurate estimate of the colony revenue for colonies whose quality is greater than 50%, with a maximum error of 26%, average (mean) error of 5.1% and median error of 1.6% for 13 colonies with qualities greater than 50%. Please note that this is a rather small sample size to use if you're going to say "this equation is good" or "this equation is bad." There were two abnormally high errors (26% and 23%), which occurred for a 52% and a 53% quality world, respectively. A 54% quality world had an error of 2.6%, and a 50% world not included in the average error computation had an error of 100% (because the GDP of the planet was nonzero, unlike what is predicted by the equation). The error was generally around 1-2% for the other colonies. As a result, I'd say that the equation given in that thread is a good starting point, but needs work if it is to be used to compute colony revenues for worlds with qualities below 54%.
Also, in case the first paragraph was not clear, colony revenue becomes less negative as colony development increases, if the colony's quality is under 50%. A 30% quality colony went from a revenue of -10K at 20% development to -8K at 50% development.
A further note - if the general form of the equation given in the linked thread for colony revenue is correct, and the equation given in the maximum planetary population thread is also of the correct form, then the worst possible quality for any given planet size is thirty three and one third percent (~33.3%), as the cubic equation which results from combining the equation for maximum population size and the colony revenue equation given above has a local minimum with respect to planet quality at that quality level. Very low quality worlds, say less than 15-20% quality, and barely low quality worlds, say greater than 40%, will cost you less when fully populated than worlds with qualities close to 33%. This is supported by Osito's thread on colonizing low-quality planets, which suggests that the formula given by Jeeves in the above-linked thread is at least of the correct form even if not all of the details are correct.
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Where do I see approval on the screen?
Approval is the number beside the smiling/straight/sad/angry face in the details box in the lower-left corner of the screen. It can also be seen in the list of colonies in the approval column, or in the list of colonies by selecting the colony and looking at the population tab.
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