Picked some Asparagus and Broccoli and pulled 2 green onions. Here are some pics:
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Asparagus spears always turn into a fern-like bush if they aren't picked soon enough. How many years ago did you plant your Asparagus? That helps determine how long your picking season should be. The first 2 years you aren't supposed to pick at all and should just let it fern-out. During Year 3 you can pick spears for about 3-4 weeks and then let them fern-out. During Year 4 you can pick spears for 6-8 weeks and then let them fern-out.
Also, what do you mean your asparagus "sprouted without you doing anything"? I have had asparagus my whole life and it has always sprouted without me doing anything. It is a perennial and comes back year after year on its own.