Do not cut the new shoots, not this season or the next. After two years you may begin with a light harvest. Subsequent harvests will be more substantial.
You also need to do something about their being so shallow, They should have been planted about 8 inches deep in a well prepared bed. It has been a while since we set ours out but if I recall we dug a trench about a foot deep and placed about 4 inches of compost then a little loose topsoil. The roots are then planted and covered with a few inches more of loose topsoil. As the stalks elongate the trench is gradually backfilled.
This is a lot of work I know but it will repay you in the future with a long lasting and productive bed.
thanks for replying with helpful tips for my asparagus.
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