Grace Millane's father David Millane has issued a moving statement on behalf of her family.
The father of killed British tourist landed at Auckland Airport last Friday morning and was met by members of the police.
In his statement released by the police on Wednesday, he thanked Detective Inspector Scott Beard, who he said has "been a most measured, selfless, human and professional face of Auckland Police".
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"Auckland Police have carried out the most concise, stringent and thorough investigation," he said, adding that the media and press have been "superb in their coverage and reporting of the events surrounding Grace's tragic final days".
The death of the 22-year-old backpacker in Auckland has shocked New Zealand and the world, even prompting an apology on behalf of New Zealand from Prime Minister Jacinda Ardern this week.
Ms Millane's body was found on Sunday in the Waitakere Ranges, after she went missing over a week ago. A 26-year-old man has been charged with her murder and has been granted name suppression.
Mr Millane's statement comes ahead of 11 candlelight vigils being held across New Zealand on Wednesday night, after a vigil in Queenstown on Tuesday.
He thanked New Zealand in his statement for the "outpouring of love, numerous messages, tributes and compassion".
He said, "Grace was not born here and only managed to stay a few weeks, but you have taken her to your hearts and in some small way she will forever be a Kiwi."
Read the full statement here:
Grace went off to travel the world in mid-October and arrived in New Zealand on the 20th November.
By the amount of pictures and messages we received she clearly loved this country, its people and the lifestyle.
After the disappearance of Grace on 1st December 2018 our whole world turned upside down.
I arrived in Auckland on Friday 7th December, followed by my brother Martin on Saturday 8th.
From that very first moment we have been astounded by the level of concern, sympathy and selfless help from every person we have met.
Auckland Police have carried out the most concise, stringent and thorough investigation.
The team, consisting at times of over 24 officers have worked arduous long hours without a day off, little sleep or rest in helping to resolve this heinous crime.
The media and press have been superb in their coverage and reporting of the events surrounding Grace's tragic final days.
They have not intruded into our life and have been respectful and courteous at all times.
Gill, Michael, Declan and myself would sincerely like to thank everybody involved and express our most profound gratitude.
In this difficult situation where everybody is a true hero it is sometimes difficult to single out certain people.
Despite this we would like to offer our most sincere thanks and everlasting gratitude to;
Detective Inspector Scott Beard, who has been a most measured, selfless, human and professional face of Auckland Police.
His emotional media statements have made him many fans both in New Zealand and at home in the UK.
Detective Senior Sergeant Greg Brand, the hidden driving force of the investigation and a true police professional.
We all hope that what has happened to Grace will not deter even one person from venturing out into the world and discovering their own OE.
Martin and I had the privilege of attending the traditional Maori blessing of the site which was a lovely and peaceful experience.
Finally we would like to thank the people of New Zealand for their outpouring of love, numerous messages, tributes and compassion.
Grace was not born here and only managed to stay a few weeks, but you have taken her to your hearts and in some small way she will forever be a Kiwi.
My brother Martin and I leave for the UK this weekend to take her home.