Police said the 11-year-old is likely to lie down somewhere and fall asleep, or hide.
D’Havland is described as Māori, “lanky and fragile-looking”, about 130cm tall, with a slim build, brown eyes and short black hair with a fringe.
She was last seen wearing a charcoal short-sleeved shirt featuring a guitar logo with leopard print, light grey track pants and black Skechers shoes.
She also has three grey stud earrings in each ear.
Anyone who sees D’Havland or knows where she might be is urged to call 111 immediately and reference file number P068051496.
Information can also be passed to Police anonymously via Crime Stoppers on 0800 555 111.