Police are continuing to investigate the disappearance of missing 22-year-old English tourist Grace Millane.
Mr Millane told Sky News their father was due to fly out on Wednesday evening and that they are receiving assistance from United Kingdom and New Zealand authorities.
Her older brother Michael Millane told United Kingdom news website Echo that the family are finding the uncertainty extremely hard.
She came to New Zealand about two weeks ago and had been staying at the Base Hostel in central Auckland.
Before coming to New Zealand she travelled as part of an organised group through South America for six weeks.
Image Ms Millane who turned 22 on Sunday arrived in the city two weeks ago
She was staying at Base Backpackers in Auckland, where she was last seen on Saturday.
"I looked at the photo [of Millane] and I was quite adamant I had seen that girl", she said.
"It was her birthday on Sunday but we hadn't heard from her".
During that time she had been in touch with her family daily through WhatsApp.
The family have posted a plea on Facebook in the hope other travellers in New Zealand can help in the search.
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The Foreign and Commonwealth Office said: 'We are in contact with New Zealand police and providing consular support after a British woman was reported missing in Auckland'.
Auckland, which has a population of around 1.6million, is a popular destination for backpackers.
She has brown hair and brown eyes and is approximately 5ft 6in (168cm) in height, and 58 kg.
British High Commission Wellington consular manager Tony McLeod said the commission was aware of reports of a missing British national.
'We are unable to make further comment while police are investigating the matter'.
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Mr Beard said various sightings have her wearing either a black top, blue jeans and red sneakers, or a black dress with white shoes.
Declan Millane said a few people had reached out to the family with potential sightings.
Base Backpackers declined to comment.
"She hasn't really replied to any messages between the family and it was her birthday on Sunday and she didn't respond to any messages".
Her family contacted police when she failed to respond to messages the following day, her 22nd birthday.
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"We are working closely with her family at this time and a number of Police staff are now working on this matter".