A brush fire that started in the Santa Ynez Mountains of Santa Barbara County, Calif., had burned at least 4,262 acres as of Tuesday afternoon, prompting the county to declare an emergency and order some residents to evacuate, according to the authorities.

So far, no homes have been destroyed and no injuries have been connected to the blaze, which the authorities were calling the Cave Fire. It began around 4:15 p.m. on Monday, the county said in a news release, and was advancing toward populated areas in the cities of Santa Barbara and Goleta as well as unincorporated areas of the county.

The fire was zero percent contained as of Tuesday afternoon, Jim Harris, the Los Padres National Forest fire chief, said at a news conference .

The fire broke out at the end of the area’s dry season, he said, adding that “extreme” off shore winds were pushing the fire in several directions.