The dog was lying on its side and the spine and hip bones were visible.
There was major hair loss over most of the dog's body except for the top of its head and the back of its neck. The skin was also red and had scabs.
Branson said he worked full-time and his children hadn't been feeding the dog enough.
After the dog was euthanised, Branson admitted that he was responsible for the dog and had not sought any treatment for it.
In court, Crown prosecutor David Stevens said a sentence of community work, an order for reparation and an order disqualifying Branson from owning animals would be appropriate.
A reparation of $840, he said, was a modest sum sought compared with other cases.
However, Branson's lawyer Wiremu Puriri strongly opposed an order for reparation, saying the family would struggle because his client was the sole breadwinner.
Mr Puriri said the family did their best to feed their dog but clearly things got on top of them.
There was no malice or deliberate cruelty, he said.