If you utilise the space below the trees in a way that the mess is not a problem, then the problem is resolved. Perhaps a garden of shadeloving annuals or shrubs. You would never need to fertilise. A chicken run is another possibility. A friend once told me never to plant a mulberry tree becuase the birds will eat them and stain my roof. I have so many trees in my yard, a bird doesn't need to sit on my roof. The mulberries are excellent. So maybe it's a need to turn the negative into a positive.

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The secret is the soil.