(CNN) -- Sirens sounded early Saturday morning across Hawaii, warning people of a possible tsunami and telling people to in coastal areas to evacuate.
The sirens sounded at 6 a.m. local time (11 a.m. ET/1600 GMT) to warn of a potential tsunami triggered by a 8.8 earthquake in Chile.
The siren systems in each county are sounding to "to alert residents and visitors to evacuate coastal areas," Hawaii's Civil Defense Division said in a statement.
"Residents will be advised by their respective country civil defense or emergency management agencies to evacuate coastal areas."
The earliest estimated arrival for a wave that could affect Hawaii is 11:05 a.m. local time (4:05 p.m. ET/2105 GMT), the Pacific Tsunami Warning Center said.
Pacific Tsunami Warning Center Director Charles McCreery said Hawaii would see some effect from the earthquake.
"We believe it will be a threat here in Hawaii, that's why we initiated a warning, not only for a Hawaii, but for the entire Pacific," McCreery said.
Asked by CNN affiliate KHON whether it was possible Hawaii wouldn't see any effect from the earthquake, McCreery said, "No, I wouldn't say that's possible at all. I think there's no chance we'll see no effect from this event.
"So people need to take this very seriously."
But he added, "We're not expecting this to be a worst-case scenario, but we are expecting ... dangerous waves coming on shore, and people need to take it very seriously."
Speaking of the evacuations, Shelly Ichishita, spokeswoman for the Civil Defense Division, said people in the evacuation zones -- basically coastal areas -- were "asked to go inland," she said. "We do not have evacuation shelters open."
John Cummings, Oahu Emergency Management Department spokesman, told The Honolulu Advertiser that "If you live anywhere in the evacuation zone, you have to evacuate.
"This is a serious event. We're going to treat this as a destructive-type tsunami."
The state's two U.S. senators, Daniel K. Inouye and Daniel K. Akaka, urged Hawaii residents to remain calm.
"If you live in an evacuation zone I urge you to gather your family and please leave the area," Inouye said.
"It is important to remain calm, listen to the news, and follow the instructions being issued by state and county civil defense officials."
Earlier Saturday, people rushed to supermarkets to stock up on food, water and other supplies.
"We got lots of water, we got our batteries, we got toilet paper," one woman told KITV, while she stood in a line with other shoppers and their carts stuffed with supplies.
Asked if she was scared, another shopper said, "Very, very. We're from Georgia, so ..."
Businesses in the area said they will be closed all day Saturday, the affiliate reported.
Several tsunami waves have come ashore along the Chilean coast after the earthquake, which killed at least 122 people, U.S. Geological Survey geophysicist Victor Sardina told CNN.
He said the largest was recorded at 9 feet near the quake's epicenter. Another wave, 7.7 feet hit the Chilean town of Talcahuano, according to Eric Lau of the Pacific Tsunami Warning Center.
Video from the town showed one car sitting in a large expanse of water.
McCreery said the first tsunami wave would sweep across Hawaii in about 30 minutes.
"And then the hazard will go on for many hours, because these waves, they get reflected off the islands, they wrap around the islands, and it becomes a very complex wave field that persists for quite a while."
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