"They are a useful tool but you've got to use them in conjunction with other things. But hopefully it will give us greater success and it also provides an opportunity for incident management to see exactly where the dog has searched."
Information released by police showed the search for Thames cost about $11,400, which included $5700 spent on helicopter use.
A spokeswoman confirmed all police search and rescue dogs were now equipped with GPS after the conclusion of a trial, which started last year.
The GPS units had been under consideration for some time, the spokeswoman said.
"It allows police to track and record the areas covered by a dog during a search and rescue operation. This can reduce the man hours and manpower required during a search.
"It also allows police to locate our search and rescue dogs if they are missing."
It costs about $60,000 to train a police dog, not including ongoing costs such as food and upkeep.