What is real relationship between productivity and income?

[planetfall]

Now puzzled by how income numbers are generated.

Assumed:
1. F11 screen showed total production for year
2. F1 screen sliders were % of F11 production.
3. Thus if F11 production showed 1000 and I set science at 20% and entertainment at 10%, then
200 would go to science
100 would go to entertainment
700 would go to treasury


But here is what I am seeing, with only changing sliders


Initial Data

Year   Production  Income Sci%  Ent%

1425    2617       1923   20     30

1440    2906       2264   50     10

Slider change only

Year   Production  Income Sci%  Ent%

1425    2675       2023   20     10

1440    2967        ???   50      0

Questions:
1. Why does production change when only tax rates are changed?

2. What is real relationship between productivity and income?

[randommushroom]

As I understand it, productivity and income are different things, although they tend to be parallel of one another.

Your city squares worked by population produce three raw numbers: food, shields, and commerce. Production is calculated from the number of shields. Income is calculated from the commerce of worked tiles, then along with any trade agreements, if you have Wall Street, tax collectors, yadda yadda yadda. It is from that commerce that the income is calculated, and that you set your slider to divide it up in how you want to spend for science and luxury. The slider is _commerce-based_ and not productive-based.

[planetfall]

Year 1425       Tax=50%   Tax=30%  Difference

				

shield production  2617   2657     40



commerce income	   1923   2023    100

sci %                20     20      0

Ent %                30     10    -20

Total Tax %          50     30    -20

				

Total commerce tax  962    607   -355

Balance to treasury 961   1416    455

Doesn't make sense that either 100 commerce income will exchange to 40 shields or that 455 commerce balance will exchange to 40 shields.

The exchange rate is not 2.5 gold to 1 shield nor 11.4 gold to 1 shield.

[randommushroom]

I'm not sure what causes that. Is it possible that governors rearrange worked tiles according to the slider bar, and that rearranging would change the production value?