No, an extra pop working an unimproved tile will give you a maximum of 1 extra food/hammer. And without commerce, unless you've got flood plains (or multiple oases, or certain resources e.g. food by a river). Don't forget to subtract out the two food that the citizen working the new tile needs to eat. A grassland forest is only a net +1 hammer, for example.
I disagree. A fp or unimproved plantation (depending on type) will
at least give +1 food and +1 commerce. (
Over the 2 food the citizen eats.) Remmber, this is your
capitol. The mapscript is biased to give you this kind of setup. We shouldn't compare to the simple case of a grassland forest, because that is not typical to your capitol.
What we're talking about is the 2nd best unimproved tile in your capitol. Again, this is guaranteed by the mapscript to be pretty darn good. (I'll grant that some mods may not abide by this guarantee.)
And, remember that a floodplain is guaranteed to be on a river (which is +1 commerce). Your calcs above omit this.
Your best tiles will typically gain more from the appropriate improvement -- unirrigated Corn goes from +1 food to +3 food, for example, or plains Cows go from +1 hammer to +1 food +3 hammers. That's a huge boost, much more than you'd get from just growing onto another unimproved tile.
Not fair to compare cows, because that requires AH, which is not a starting tech. In fact, it's a 2nd tier tech. You're not going to get this by the time you complete the worker, even if you are able to begin on it right away (you have the prereq tech as your freebie).
Comparing to corn is fair, because you could do it without any prereq. So, you would get +2 food. This is pretty much your optimal situation.
Thus, I'll grant that
IF you start with Ag as your freebie tech,
AND you have corn, then perhaps worker first is a good idea.
Plus the worker can go on to improve multiple tiles.
Not really. By the time you have completed the worker AND have grown to size 2, the alternative would be to grow to size 2 and complete the worker. This is pretty much a wash.
Wodan