The family of a Melbourne woman who has been lost in the Canadian wilderness for more than two weeks say they accept she may never be found.

The family of Sophie Dowsley told Fairfax Canadian police have called off the search after bringing in sniffer dogs and rescue teams to scour the remote and difficult terrain some three hour's east of Vancouver.

Grave fears are held for the 34-year-old from Melbourne after divers found Ms Dowsley's Canadian boyfriend Greg Tiffin's body in Statlu Lake on Tuesday.

View photos

Sophie Dowsley shared this picture from a 'fun but hard' trek to Mt Seymour, North Vancouver, in February. Source: Instagram

View photos

Gregory Tiffin was found dead in Statlu Lake last week while it's now thought Ms Dowsley might never be found. Source: Facebook

Some of her belongings were found near the lake's waterfall, James Dowsley, the brother of the missing Australian told Fairfax.

He said after visiting the terrain the family appreciated there was nowhere else left to search and that Sophie "may never be found".

In a statement the family has thanked the Royal Canadian Mounted Police, saying "every day you put your lives at risk to find Sophie... but we understand she may never be found".

Mr Dowsley also thanked the search and rescue team as well as Prime Minister Malcolm Turnbull and Federal MP Dan Tehan who helped bring about an extended search for his sister.

View photos

Story continues