Calls to cull the deer preceded a University of Tasmania report released on Saturday that has predicted an estimated population of 40,000 deer will explode to more than one million by 2050 should action not be taken.

Tasmanian stakeholders concerned over the species have found common ground that culling is the best way to prevent a rapid expansion of the deer population.

But a spokesperson for The Greens in the state confirmed that it would ‘‘draw a line and have issues’’ with shooting inside a national park.

Tasmanian Farmers and Graziers Association president Peter Johnston has blamed a lack of hunting in the state’s national parks as the reason behind growing deer numbers.

He also plans to extend the proposal to include the killing feral cats.

‘‘We have approached the government on this one, particularly to do with feral deers and also feral cats,’’ Mr Johnston said.

‘‘They are two introduced species that if they are causing a problem in national parks, the government should look at opening up (the national park to cull) those feral species so they are removed.

‘‘We have had conversations with The Greens on this and they are surprisingly listening to what we have to say in that particular area.

‘‘We have had conversations with the (Australian) Deer Association and we feel we have common ground that we feel needs to be looked at.’’

Deers that were stationed in once state forests were open to culling deer, but now are protected under the auspices of national parks.

Mr Johnston forecast the continual flooding of more deer is ‘‘only going to cause damage’’.

‘‘Forest Tas used to let you go shooting in a state forest,’’ he said.

‘‘Now it’s gone to a national park where shooting and hunting is not permitted per se.

‘‘The population has expanded where at one time it was under control.’’

Tasmanian Greens MP Rosalie Woodruff has said the deer numbers were a threat to the conservation of wilderness areas and pasture-dependent agribusiness.

She has called on the state government to develop a non-recreational population control plan to include the input of conservationists, graziers, recreational shooters and professional hunters.

‘‘Experience from feral animal management elsewhere shows that Tasmania needs to act quickly and put an active population control policy in place for fallow deer,’’ Dr Woodruff said.

‘‘Deer management has previously been skewed towards preserving recreational hunting activities, with only the passive issuing of permits for property owners.’’