The Bateleur eagles escaped from their handlers at events in the Cotswolds, Exmoor and Sussex last August.
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The Devon woodlands being surveyed are at Haldon Forest, Exmoor, Dartmoor and the Blackdown Hills.
Snowdrop Valley on Exmoor has opened to the public, one week later than usual.
Stour Valley is associated with the painter John Constable while Exmoor is renowned for its wild moorland.
"On Exmoor there's a lot of snow drifting around and some roads are still impassable, " he said.
On the second stage, a 6km stretch of private road across Exmoor will be completely close to other traffic.
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Tributes have been paid to a postman who died while carrying out his rounds in freezing conditions on Exmoor.
Exmoor Foxhounds, Devon and Somerset Staghounds and Dulverton and West Fox Hounds have all cancelled this week's hunts as a precaution.
Twelve schools were closed and bus services cancelled after 10cm (4in) of snowfall in the Yeovil area and on Exmoor on Thursday.
The Society said that since 2003, all breeders and owners of Exmoor ponies have had the option to microchip their ponies only.
BBC: Hot branding ponies 'indefensible' and must end, says MP
Animals like the Emperor of Exmoor, a red deer shot dead in Devon, should be protected, according to a group of MPs.
In Devon, Exmoor Zoo received a gold for the small attraction category.
The trust manages the cliffs as chalk grassland, parts of which are grazed by Exmoor ponies to preserve the natural flora and support wildlife.
Residents of a remote Exmoor village, cut off by snow, claim they are "always the first to suffer" when it comes to the council's gritting service.
Diversions are in place at Crock Point on Exmoor, Porthallow and from Talland Bay to Looe in Cornwall, Thurlestone to Hope Cove and at Seaton in Devon.
About a third of those live in the town of Minehead, but much of the authority's 280 sq miles of coast and countryside falls within Exmoor National Park.
Reaching to the heights of Dartmoor and Exmoor and via the sea to Lundy, North Devon's Biosphere Reserve is developing partnerships and managing projects for a sustainable future in north Devon.
It will restore the condition of the moorland habitats, including the promotion of the semi-wild Exmoor Pony for grazing as an integral part of the management of the moors.
The A39 in Exmoor has been particularly problematic, but the highways team managed to re-open the road by early afternoon after clearing it from snow, the county council said.
Mr Wright, who was leading the Exmoor Foxhounds at Drybridge, Devon, said he was following the law which demands that foxes are shot as soon as possible after being flushed.
He is hoping to prepare for the cold and test his equipment at a cold chamber testing facility at Millbrook in Bedfordshire - recently used by Exmoor polar explorer Sir Ranulph Fiennes.
While most ponies - including some domesticated ones - are branded once, some wild ponies on Exmoor in Devon are branded three times - with an individual number, a herd number, and the Exmoor star.
BBC: Hot branding ponies 'indefensible' and must end, says MP
The majority of people carrying out branding are considered highly experienced and welfare groups have called for constructive dialogue with groups such as the Exmoor Pony Society - which is dedicated to safeguarding the historic breed.
BBC: Hot branding ponies 'indefensible' and must end, says MP
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