Ripon police say that a group of Canada and Greylag geese, and a Mute Swan, were shot through the wings and legs - and left to die.
They were discovered last month by an ecological survey team at a nature reserve.
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Northumbria Police are holding a series of events to raise awareness around what hate crime is and the support available for victims.
The landslip, which caused part of the Carlisle to Newcastle rail line to close, is expected to re-open fully on Monday, February 8.