Californians are continuing to save significant amounts of water despite the decision by Gov. Jerry Brown’s administration to relax drought rules two months ago.

Statewide, urban residents cut water use 21.5 percent in June, compared with the same month in 2013, the year the state has been using as a baseline, according to new data released Tuesday.

Experts said the numbers from the State Water Resources Control Board — even though down from the 28.1 percent savings in May — demonstrate that Californians remain worried that the drought isn’t over despite the fact that many cities are allowing more frequent lawn watering and easing other drought restrictions this summer after a fairly wet winter. Increased water rates also seem to be behind the apparent trend not to open the spigots wide, experts said.

The state’s relaxed new rules became effective in June, so Tuesday’s report was the first indication of whether Californians would continue to conserve.

“It’s maybe not as good as we hoped, but it’s better than we feared with conflicting messages out there,” Felicia Marcus, Water Resources Control Board chairwoman, said.

Experts say another reason for the encouraging numbers is that many of the savings are now “locked in” because many Californians ripped out their lawns and installed water-efficient appliances and drip irrigation during the height of the drought.

“For many, conservation is now a way of life — and in our book that’s a success,” said Jasmine Oaxaca, an enforcement specialist with the state water board.

In May, the five-member board, which is appointed by Brown, approved plans to drop all statewide mandatory water conservation targets it had imposed last year on California’s 410 largest cities, water districts and private water companies when the state’s historic drought peaked.

Under the prior rules, each community was given a water conservation target — from 8 to 36 percent — based on its per capita water use, with the threat of state fines for failure to meet the targets.

From June 2015 to March 2016, Brown asked Californians to cut water use 25 percent overall in urban areas, compared with 2013. Residents responded, reducing water use by 23.9 percent.

But water agencies, particularly in Southern California and around Sacramento, complained bitterly about the statewide rules, saying that they were costing them hundreds of millions of dollars in lost water sales. They also argued that the rules did not accurately reflect each community’s local water supply conditions.

The state water board listened and decided to allow each city and water agency to set its own target. Environmentalists and some scientists said the change was shortsighted, given that much of the state, particularly Southern California, received lower-than-normal rainfall this past winter and remains mired in a serious drought.

Some agencies kept strong conservation targets in place. The Santa Clara Valley Water District, which serves 1.9 million people in and around San Jose, cut its target from 30 percent to 20 percent, for example.

But many major water suppliers, including the East Bay Municipal Utility District and Los Angeles Department of Water and Power, immediately announced that their conservation targets would be zero this summer. Other areas that had won accolades for water conservation, such as Santa Cruz, also dropped their targets to zero.

Still, East Bay MUD cut use 18.1 percent in June, and Santa Cruz cut its water use by 20.9 percent.

Elsewhere in the Bay Area, San Jose Water Company cut water use by 27.8 percent, Contra Costa Water District by 37.8 percent, Marin Municipal Water District 13.6 percent, Palo Alto 17.9 percent, San Francisco by 12.5 percent and Alameda County Water District 28.7 percent.

Some experts remain wary that the conservation trend might not last.

In June 2015, Californians cut water use by 27.5 percent compared with the 2013 baseline, noted Heather Cooley, water program director with the Pacific Institute, a nonprofit think tank in Oakland.

“Today’s numbers are fairly strong,” she said. “But I’m concerned about the next several months and years. The water we save now is water we can use later if we don’t get rains next winter. We need to be cautious.”

Cooley said she was disappointed when the Brown administration dropped the mandatory targets.

“There was an argument for relaxing them, given that conditions in parts of the state had improved, but I thought the complete removal of those targets was shortsighted,” she said.

A poll last week by the nonpartisan Public Policy Institute of California found that 63 percent of likely voters said state and local government is not doing enough to respond to the drought, although the number who ranked the drought as the state’s most serious environmental issue dropped from 58 percent a year ago to 38 percent now.

Water agencies said Tuesday that they are pleased each city and water district has the ability set its own conservation targets.

“We are telling people it’s OK not to have a bucket in your shower and to flush your toilet when you need to,” said Tim Quinn, executive director of the Association of California Water Agencies. “If we don’t have an emergency, we shouldn’t act like there is an emergency.”

Quinn said while water agencies lost millions on reduced water sales and often had to raise rates to cover costs, the primary motive for wanting to drop “a one-size-fits-all approach from Sacramento” is that many areas built new reservoirs, water recycling projects, even desalination plants — and should be allowed to use that water now.

“You need to keep your credibility with the public,” he said.

Under the new rules, each community was required by June 15 to report its new conservation target to the state water board. The target was to be based on a forecast in which supply conditions would mirror the past three years, and demand would be the average of 2013 and 2014.

So far, 379 of 410 cities, water districts and private water companies have submitted those plans, and state water board staff is still evaluating them.

Paul Rogers covers resources and environmental issues. Contact him at 408-920-5045. Follow him at Twitter.com/PaulRogersSJMN.