George Bass, 77, was reported missing on Wednesday March 2. The last confirmed sighting of him was in Leeds the following day when he got off a bus at Leeds station, having travelled from York.
Mr Bass’s daughter, Sarah, said: “My dad has been missing for over a week now. We are desperately worried about him and just want to know he is safe.
“Dad, if you are reading or listening to this appeal, please let the police know that you are safe.
“Extended family, your old work colleagues, neighbours, anyone who knew you, are all contacting me to see how they can help in finding you. Everyone cares Dad, more than you may think or realise.
“Please put our minds at rest and let us know you are safe.
“If you prefer, you can contact the missing people charity who are helping us with our appeal. You can contact them in confidence and they will keep your whereabouts confidential if that’s what you prefer.”
North Yorkshire Police earlier urged hotel, guest house and hostel workers in Leeds and York who may have seen Mr Bass to get in touch.
He is described as white, 5ft 6in tall with white receding hair, hazel eyes and a pale complexion. He was last seen wearing a grey waterproof jacket with a blue fleece underneath, brown trousers, a dark blue hat, dark blue gloves and black slip-on shoes.
Mr Bass is said to have a habit of clenching his hands when he walks. When he is not wearing gloves he has a habit of touching each finger in turn to his thumb, as if he’s counting.
Anyone with information about Mr Bass is asked to contact North Yorkshire Police on 101 and pass information to the Force Control Room, or you can contact the missing people charity on 116000.