Dallas-area homeowners should be feeling a little richer after years of hefty home value increases.

Just in the last year, Dallas homeowners have gained an average $13,631 in home equity, according to a new report by CoreLogic. Fort Worth area homeowners have earned even more in home equity — $14,781 on average since last summer.

Only 1.2 percent of Dallas-area residents with a home loan owe more than what their residence is worth. That’s the smallest percentage of local homeowners who are upside down in their mortgage in more than a decade.

Nationwide, homeowners added almost $1 trillion in home equity in the second quarter, CoreLogic researchers say.

“Homeowner properties continued to increase in value this quarter with homeowners gaining an average of $16,200 in home equity wealth,” Dr. Frank Nothaft, chief economist for CoreLogic, said in the report. “This wealth gain will support additional consumption spending and home improvement expenditures in coming years.”

Only about 4 percent of U.S. homeowners with a mortgage were still under water in values at the end of the second quarter. In 2009 at the worst of the housing bubble bust, more than a quarter of homeowners around the country owed more than their houses were worth.

The percentage of Dallas-area homeowners with negative equity peaked in 2010 when almost 17 percent of people with a mortgage were upside down in the property.

Statewide, Texas homeowners on average gained $11,000 in home equity during the year ended with the second quarter.

The biggest home equity gains were in California ($49,000) and Washington ($41,000) where home values have soared in recent years.

North Texas home prices have shot up by almost 50 percent in the last five years and are now at record levels. While home price increases in the Dallas-Fort Worth area have slowed in recent months, median home sales prices in August were still about 5 percent ahead of where they were a year ago.

About a third of Dallas-area homeowners have no debt on their properties, according to estimates by mortgage firm Lending Tree.

And CoreLogic estimates that less than 10,000 local homeowners with a mortgage have properties worth less than the value of the loan.

“Negative equity levels continue to drop across the US with the biggest declines in areas with strong price appreciation,” said Frank Martell, president and CEO of CoreLogic. “Further, the relatively low level of shadow inventory contributes to the chronic shortage of housing supply and price increases in many markets.”