Sandbanks, where the average house price is £664,000, topped the list.
Calls made included threats to a police headquarters, a hospital and a bus station.
Residents said people waiting for ferries were urinating in the street and in gardens.
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Hampshire set Somerset 259 to win after a second day of wickets tumbling at Taunton in the County Championship.
Listen to live BBC local radio commentary as Somerset face Hampshire in the County Championship.
Bournemouth Daily Echo
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