The Brief While the access point to Point Dume Beach remains closed to vehicles, it's not stopping people from cooling off during the extreme heat that continues to impact much of Southern California this week. Key road access to Point Dume Beach in Malibu is closed due to severe beach erosion. The Los Angeles County Department of Beaches and Harbors says a stretch of Westward Beach Road, which provides vehicle access to Point Dume Beach, is closed until further notice due to severe erosion caused by recent high tides and surf. The City of Malibu says, "Westward Beach Road, beyond the pay gate, and the Point Dume Beach parking lot are closed until further notice." While the access point to Point Dume Beach remains closed to vehicles, it's not stopping people from cooling off during the extreme heat that continues to impact much of Southern California this week.