The main question is why the did the previous tree die. If the issues were cultural (watering, fertilizing,etc.) there probably isn't an issue. But of the issues were soil borne bacteria, pathogens, organisms, and the like they are probably still there waiting for you to plant a new meal for them. I am sure it is more complicated than that, but that is a large part of the essence of the situation.
Many agricultural fields are fumigated to kill soil borne pathogens, sometimes every season, so that carrots, or lettuce, or whatever can continue to be cultivated. It is not uncommon for the same thing to be done before planting a new orchard or vineyard.