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My soil is about 10 inches of loamy sand over just plain sand. It has been lousy lawn and then late last fall I sprayed it with Round-up in anticipation of starting a plot this year.
I bed my chicken with poplar shavings and anything I clean from the coop goes to the plot.
The burn pile will consist of mostly white pine boughs broke off from an ice storm this winter. I could also add ash from my wood stove, from mostly ash trees and oaks.
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@unclegreg
If that is the case, then I would not burn on that plot.
What happens when you burn is that yes, you get ash, which contains a very, very VERY small amount of nutrient value as compared with a prepared fertilizer or any other organic fertilizer like manure. (I don't mean the SAME nutrients, understand. My comparison is to explain that putting a load of composted manure on your garden gives you a relatively large nutrient hit in a great form for the plants. The ash does not put nearly that level of nutrients) Your wood ash will be different from this, but here's an article that explains there's not much in it.
Low nutrient value in wood ash
The REAL REASON I would not do it is that when you burn that wood debris, you also burn the humus (the small bits or organic matter) in the top inch to two inches of your soil. Deeper, depending on how hot the fire gets.
That humus is worth WAY more to you than the value of the ash.
Now...have I ever burned off a garden? Yes. I have.
Will you get a few weed seeds? Yes, you will.
But my situation was a little different, and I chose that for particular reasons. My burn was also very light and quick. like burning off a field. Just weed stalks and dead grass, which meant not a hot fire.
And did it accomplish what I was after? Only sort of.
If I had your situation, with no previous gardening history, I would absolutely not burn off that garden plot. You've got a great situation right now. If you don't compact that soil and till it to death, your garden should be really productive. Burning it won't help you.