Police are investigating after a series of white marks were found on buildings in Thame and other nearby villages.
The white marks are a chalk-like substance that have been found in small lines, and occasionally in V, circular, or triangular shapes on residential buildings.
Sergeant Vicky Hoskin of the Thame Neighbourhood Team said: “There has been speculation on social media that the markings have been found only on homes where there is a pet dog, and this speculation has caused some concern amongst local dog owners.
“We have had no information passed to us, and no evidence would suggest that anyone is being targeted, or that the markings have anything to do with dog ownership.
“The Thame neighbourhood team have been regularly patrolling Lea Park since the markings were first reported to us in order that residents can speak to them if they are concerned.
“Officers will continue with these local patrols, but there will be no further investigation into the markings.
“If anyone is concerned or has any information, please call 101 to speak to an officer.”
Neighbourhood teams have also been patrolling in Haddenham, Ickford, Worminghall and Long Crendon following the series of incidents.
On Thursday April 14, white marks were found in the following locations in Thame:
On the pavement outside a home in Wellington Street
On the wall of a home in Wellington Street
On the boundary wall of a house in Queens Road
On the wall of a house in Fernhill Close
On the boundary wall and on the ground outside the front door of a home in Van Diemans Road
On the wall of a home in Moats Crescent
On the corner of a driveway of a home in Montrose Way
On the gate of a home in Cotmore Close
On the wall of a home in Youens Drive
In the garden of a home in Langdale Road
On the garage wall and on the wall of a home in Langdale Road
On the wall of a home in Park Street
White marks were also found on the walls of homes in Roberts Road, Haddenham and Golders Close, Ickford on the same day.
On Friday April 15, white marks were found on the walls of homes in Grenville Way, Thame, Cherry Tree Road, Chinnor, The Avenue, Worminghall and Morningside, Long Crendon.
On Saturday April 16 white marks were found on the walls of homes in Putman Close, Thame and Churchway, Haddenham.