The family of a missing Ravenglass man made a statement thanking everyone involved in the search.
A multi-agency team including police, fire, mountain rescue and coastguard units have been on call since Mr Allen was reported missing on April 28 whilst walking his dog near the Ravenglass Estuary.
The missing man, 76, from Preston, is described as 5ft 8inches tall, bald and of slim build.
At the time of his disappearance he was wearing a green fleece, green suede trousers and walking boots.
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The family of Mr Allen have released a statement today.
They said: "John, a keen, capable, mountain walker, and the most senior Allen, took his dog for its usual morning walk on Monday morning - something he loved to do. It appears that for some unknown reason John got into difficulties whilst walking near the River Esk Estuary around Ravenglass and subsequently never returned from his walk.
“The search continues throughout the area and the family wish to express their deep gratitude to wider family, friends, the local community and numerous emergency organisations, in particular Cumbria Police and Coastguards, for their unrelenting, ongoing support at this most difficult time.”
Anyone who may have seen someone matching this description is asked to call Cumbria Police on 101 and ask for the duty sergeant at Whitehaven Police Station quoting log number 59 of April 28.