Its just going to depend on your particular soil. my asparagus responded really, really well to some amendments. I never limed my asparagus patch but I added
straw and horse manure to the top all winter (stuff scooped from the pasture)and as much as I could safely as mulch in the growing season. At planting I worked in good
compost into the trenches and backfilled as they grew. My asparagus was insanely huge after two years in the ground, I think they were two year old
roots. Tall with big thick tender stems (its a myth by the way that the small ones are the most tender, its actually the opposite) nothing like the puny starving asparagus spears from the store. I planted it in a bad spot and after too much ribbing about a messy asparagus bed by Dh and a year that they were attacked by insects, I dug them up and tried to move them. The roots were ginormous. They kept getting mowed over after that and eventually croaked.
it was really stupid on my part to not make more of an effort to protect them from mr. mow happy. mmmm eggs and asparagus in the morning mmm.......
http://www.urbanext.uiuc.edu/veggies/asparagus1.html