Mrs Gillespie said the club had activities for two to three hours every week day evening except Friday, and for three to four hours on Sunday mornings.
She said the barking started the moment the dogs arrived, and along with the noise of the dog owners "you have a relentless cacophony of noise which seriously impacts on our lifestyle".
"We can't sit outside for a quiet drink or dinner, and often have to shut our patio doors to keep the noise out," she said.
The couple wrote to the dog club in 2008 asking it to reduce the noise. A sign was put up asking owners to be mindful of the neighbours "but no one took any notice of it".
They also questioned the lack of control when the club staged open competitions at weekends, especially when up to 30 campervans parked on the reserve overnight.
"The first dog starts to bark at about 6am and from then on it's like a tsunami, gathering in volume until about 8.30 when everyone has arrived and the noise levels are at full throttle until late afternoon - then the same thing all over again the next day."
The Gillespies said the area they lived in was one of the highest rated in the city and "we don't pay exorbitant rates to put up with this".
Their neighbouring property owners and other users of the reserve also had issues with the dog club being where it was.
"We just feel that the dog club should be located in an area where they can operate without compromising other people's lives."
The Gillespies have met with council officers and were told that while restrictions on times when dogs could be exercised might overcome their concerns it would need enforcing.
"In taking this to the council we trust that the officers ask themselves if they would enjoy having this activity as their own next door neighbour?" Mrs Gillespie said.
Jonathan Barrett, council's deputy strategy and development manager, said under terms of the council's dog control bylaw, dogs could only be off leash in designated areas such as this reserve, and there were no time restrictions on using the area.
He and councillor Philippa Baker-Hogan had met the Gillespies and passed on their concerns to the council's parks team.
Mr Barrett said the reserve was a highly valued facility for dog owners and the dog club had a lease arrangement with council to use the reserve.
He said the Gillespies had been the only people to complain and for that reason "the current levels of complaint do not justify relocation of the facility as a large number of users would be denied access to the existing facility".
He said that without this ongoing use the land would be "vulnerable to pressure" for residential development.
Mrs Gillespie said "quite a few" people she had spoken to agreed noise was a problem but were loath to complain in case council decided to subdivide the land, "which is the last thing they want".
Campervans are allowed to use the reserve under the Freedom Camping Act 2011 and it is also a permitted activity under the district plan.
Wendy Bainbridge, council's senior parks officer, said council had suggested the club control where people camped to cause the least disturbance to residents.
"The club has discussed this issue and taken it on board," Ms Bainbridge said.
Camping was infrequent and campers had never caused any issue with the ground conditions.
"The club's events are highly regarded and attract people from out of town who contribute to our district's economy."