According to a new study released Tuesday, support for gay marriage accelerates when state bans end.

“When marriage equality policies are introduced in states, support increases more rapidly,” researchers at UCLA's Williams Institute wrote. “[T]he annual rate of change is highest among the states that adopted marriage equality.”

Researchers also estimated that if current trends continue, 38 states plus the District of Columbia will have majority support for marriage equality and 6 additional states will be within 5% or less of majority support by 2016. No state will have less than 40% support.

Evan Wolfson, president of Freedom to Marry, applauded the report's findings.

“Today’s Williams Institute report confirms that marriage wins are a self-fulfilling engine of support: once the freedom to marry comes to a state, people see families helped and no one hurt, and support surges,” Wolfson said in a statement. “The numbers solidly debunk opponents’ desperate efforts to conjure up the specter of an impending ‘backlash’ and underscore the unfairness of depriving people in the remaining 13 states of the informed choice that the end to discrimination provides. Once the Supreme Court brings an end to the exclusion from marriage in the states still left out, we can expect support to grow rapidly there as well – a true win-win.”

“America is ready for the freedom to marry,” he continued. “The Supreme Court can now do the right thing, knowing that not only history, but the public today, will vindicate a ruling to end marriage discrimination leaving no state and no family behind.”