What is the relationship between diameter of oaks at breast height and acorn production?

This relationship of diameter of oaks between acorn production is very significant. When the diameter increase, so the acorn production also increase, More kilograms of acorns would be produced if the diameter of each species of tree was increased. The Spanish oak and the white oak would be both increasing dramatically and be very close to water oak's acorn production numbers. Even though post oak produce less than the other, it would be still increasing.