If you're looking to optimize the soil under your tree, and get rid of your leaves every year, here's your solution: Use the leaves (shredded or whole) as mulch under the trees they came from. (Warning: for leaf transmitted diseases). Leaf decomposition (leaf mold) is literally the best thing for trees ever. Forget fertilizing, forget foreign compost, every nutrient the tree needs from the soil, is returned through composition to the soil, from the leaves. It's like the spider that eats her own web to provide the nutrients for her new web. Forget that turf, dedicate the area under your tree, to your tree, in the form of a leaf mold pile of previous years leaves. Yeah it's not aesthetically perfect, but it is naturally perfect.
Adam