Hawaii has a very unusual law for determining how a party remains on the ballot. If the party has been on for 3 elections in a row, then it is automatically qualified for the next 5 elections. But after the “free” 5 elections are up (unless it had polled 10% for a statewide office or either US House seat, or 4% for half the races in either house of the legislature, or 2% for half of the legislative races in both houses), then it goes off the ballot.
The Green Party’s 5 “free” elections are up, so the party must submit 663 signatures to re-qualify for 2008. If the party doesn’t meet the vote test in 2008 or 2010, it will probably need similar petitions in 2010 and 2012. Then it will again qualify automatically for 2014 through 2022.