I should clarify by light I do mean heat. If the temperature is warmer does that increase production? I do not have electricity there and did not have plans for it. How drastically will it decrease?
There is no need to heat your coop unless you have otherwise compromised birds (health, age, etc) or one of the really less hardy breeds. Production fall off is not so much about temperature as it is about daylight - first year layers often lay through that winter without a major decrease, it's during the second or third laying cycle (after the first molt at about 18 months of age) where a hen may take the winter off.
I have always had non-wired coops (here now and in Idaho previously)- so no supplemental lighting and no heated waterers. This past winter my flock was all first year layers - we had 14 active layers and were getting 11-13 eggs a day at the end of fall - through the winter months we saw an average closer to 4-7 eggs a day.
ETA - regarding the need to heat, I should have said "in my opinion" - there is a long-running debate over whether or not heat is needed in coops and there are strong opinions on both sides of that equation. It might help you to read through some of the many threads here on BYC that deal with this question so that you can read both sides for yourself and decide what is right for you/your flock.
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