You heard wrong. Running away from home is not a crime, exactly, but it could be the basis for a juvenile court case. And your parents would have the right to get state assistance to retrieve you.
Because it's not clear why you want to run away, I'm not sure what "other options" you'd be interested in. If your parents consent to it, you can live wherever you like. If your parents are being abusive, you can call your county child abuse reporting hotline. Information about these services in Lane County is online here: http://www.lanecounty.org/departments/da/kidsfirst/pages/wheretoreport.aspx
Note that this can set a lot of machinery in motion that you will not be able to control. Child abuse reporting is not to be used in ordinary conflicts with one's parents - it's for extraordinary situations, like physical abuse or denial of food, shelter, and medical care.
You may want to seek an initial consultation with Youth, Rights & Justice, which is a Portland-area nonprofit that represents juveniles in court proceedings. They can probably give you better guidance if you give them a little more information. Check out http://www.youthrightsjustice.org/ .
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