When I originally looked at this, I certainly came away with the impression that PBG represented the second digit and not an exponent (and additionally, this matches TravellerMap's computation) 



-------- Original Message --------
On January 17, 2018 4:34 PM, Kenneth Barns <xxxxxx@gmail.com> wrote:

Not a mathematician, but wouldn't the PBG number be 10^0.5, or 3.2?
So assume Tenalphi is 63.2M inhabitants?

Alternatively, If Pop = 7, and PBG = 6, perhaps we could treat its population as 10^7.6 = 39.8M?
That would lead to a smoother logscale in population distributions (albeit non-canonical).

--
Cheers!

Ken
********************************
Kenneth Barns   MB BS  BSc  FACRRM (Emergency)
GP and Clinical Director, UQ HealthCare Ipswich
Senior Medical Officer / Rural Generalist (Emergency), Beaudesert Hospital
Senior Lecturer (Medicine in Society), Rural Clinical School, University of Queensland
email: xxxxxx@gmail.com  (preferred contact)
Mobile: +61 4 5957 2825 / 04 5957 2825
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On 18 January 2018 at 10:19, Catherine Berry <xxxxxx@gmail.com> wrote:
Of course, the interesting twist is that actual distributions are bottom-heavy within each range -- there will be more worlds with 60-65M inhabitants than 65-70, because (as you've said) as the pop goes up, the frequency goes down. Developing and applying a power-law model that fits the data is left as an exercise. :)

On Wed, Jan 17, 2018 at 4:12 PM, Ethan Henry <xxxxxx@gmail.com> wrote:
I took the PBG number into account but I just took the low end of the scale - as you note, I take Tenalphi as 60M instead of the middle of the range at 65M.
It would be easy enough to tweak the formula in the Population column and copy/paste it to use the middle of the range rather than the bottom.


On Wed, Jan 17, 2018 at 4:03 PM, Caleuche <xxxxxx@sudnadja.com> wrote:
It's interesting, I get slightly different numbers. For example, in the spinward marches I get a population count of Interval[{92,559,896,270, 123,188,731,073}] at TL8 or lower. Are you accounting for the "PBG" population modifier? For example Junidy in the Spinward Marches should have a population between 30,000,000,000 and 39,999,999,999. 

You do mention Tenalphi has a population of 60 million (that is, 60 million to 69,999,999), so you do account for the pop modifier, but when computing the statistics do you treat that 60-69.9 million as an interval, or just take the lowest value? 

I get the current total population of the Imperium (Allegiance code = Im*) as 18,049,041,349,210 to 21,832,723,838,665. Far from being 11,000 worlds, I count 8988 worlds. This with the travellermap API scraped as of about 20 minutes ago. 

Interesting work, thanks! 


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