You said the person is a dependent. That changes things.
Assuming that is his only income, he must file a tax return if his unearned is over $1050.
https://www.irs.gov/publications/p17#en_US_2017_publink1000170430
From what I can see, the Alaska PFD was $1100, which would mean he is required to file a tax return. Unless he was a full-time student, Form 8814 can not be used, so he needs to file his own tax return.
Your dependent adult child will not need to file a return for his Alaska Permanent Fund Dividend if it is under $1,050. If he were not your dependent, it would not be required if it is under the filing limit of $10,350 for a single adult. You will not need to file Form 8814 for "kiddie tax" if your child was over age 19 and not a full-time student.
You said the person is a dependent. That changes things.
Assuming that is his only income, he must file a tax return if his unearned is over $1050.
https://www.irs.gov/publications/p17#en_US_2017_publink1000170430
From what I can see, the Alaska PFD was $1100, which would mean he is required to file a tax return. Unless he was a full-time student, Form 8814 can not be used, so he needs to file his own tax return.