Click on the link below for Alameda County Tax calculator, trust this will help. Yes property taxes can go up due to any parcel taxes or measures passed within the City or County. Trust this helps.
http://www.co.alameda.ca.us/prop_tax_info_app/index.jsp
==Honestly, that tax rate isn't true - it is almost 2% in Berkeley.
The 1% annual for my property is $3321. Voter added cost add 821.06 for Schools, Mello Roos, Buses and Parks = 4142.56. But they never tell you about the non-voter approved taxes $1577.26 = GRAND TOTAL of $5919.82.
So in the real world, its double. Berkeley tax = 2%.
6 grand is a lil higher than 3 grand and it is closer to 2% than 1%.