Members of the South Downs National Park Authority have called for stricter controls on how oil could be produced in future.
Consultations are underway into plans by Egdon Resources to produce oil, and possibly gas, from its Wressle well near Scunthorpe.
The government has confirmed it will not allow fracking to be carried out from wells drilled at the surface of English protected areas, including National Parks, Areas of Outstanding Natural Beauty and special wildlife sites.
IGas has been granted a mining waste permit for two exploration wells at its proposed shale gas site at Springs Road, Misson, north Nottinghamshire.
Environmental campaigners in West Sussex are calling for changes to a draft policy for future oil and gas development because they say it fails to include measures to tackle climate change.
The public consultation on plans by IGas to explore for shale gas at a second site in north Nottinghamshire is now open. Tomorrow (Saturday 4 June 2016) there is an information day about the proposals for the site at Tinker Lane, organised by the local community liaison group.
A member on Cheshire West and Chester Council is calling for a local referendum on plans by INEOS to frack for shale gas in her area.