A BBC Farming Today investigation has found that, nationally, at least one dog a week is being shot on farms for worrying livestock.
The dogs are being shot by farmers because they either worried their sheep or posed a "serious threat".
Shooting dogs which pose a threat to livestock is legal, providing the incident is reported to police within 48 hours.
Last month the RSPCA revealed they received had received 1,938 calls concerning the welfare of dogs in the county as part of their annual cruelty statistics.
Police Scotland has launched a campaign to raise awareness among dog owners of the "devastating" effects of livestock worrying.
The three-month campaign coincides with the spring lambing period when sheep are at greatest risk from dog attacks.
Last month, a farmer shot two dogs that escaped from a yard in Clackmannanshire and attacked his sheep, which were later destroyed.
The campaign aims to ensure that owners keep their dogs under close control.
Scottish Natural Heritage and the Scottish Partnership Against Rural Crime, which includes Police Scotland, the National Farmers Union of Scotland and Scottish Land and Estates, are behind the campaign.
Theresa Kewell, from Scottish Natural Heritage, said: "We may not think our family pet is capable of causing injury.
"But it is a dog's natural instinct to chase, so think ahead when you're out for your walk, about what might tempt your dog to run off, and ensure you keep them under proper control".
Phil Stocker, NSA Chief Executive says: "Sheep worrying by dogs is an issue NSA has been vocal about for some time now, and frustratingly we are continuing to hear reports of attacks on a regular basis.
"Gathering evidence and information is key when communicating the scale of this issue to both the public and the police.
"While our aim is not to discourage people from walking their dogs in the British countryside, it really is vital to get across the message that any dog is capable of harming livestock.
"Aside from the obvious harm physical injuries like bites can have, equally as detrimental can be the aftermath of a dog simply chasing sheep, particularly at this crucial time of year when ewes are likely to be heavily pregnant or have young lambs at foot."
