Welwyn Hatfield Borough Council states the planning side in its own words: "Anyone wishing to undertake works to trees within a Conservation Area must notify the council 6 weeks before carrying out certain works, otherwise penalties may incurred", adding that "There are some exemptions to this requirement". On its privately owned trees page it says "Some trees are protected if they are in Conservation Area, covered by a Tree Preservation Order (TPO), planning condition or in the Welwyn Garden City Estate Management Scheme", that "If a tree on your land is protected you will need to get our consent in writing before you can start any work to it", that "You will be asked to give five days written notice of the works", and that "You do not need permission if the tree is dead, dying or dangerous. But you will need to be able to prove this is the case."
On the Estate Management Scheme itself the council says it "covers most of Welwyn Garden City" and "protects the environment and heritage of the town". The High Court imposed it in 1973, and the Estate Management design guide states that "Consent is required for the removal or works to any trees taller than 4.5m (15ft in height)". That consent is separate from planning permission. The borough has ten conservation areas.
Nationally, gov.uk describes the requirement for "people to notify the local planning authority, using a section 211 notice, 6 weeks before carrying out certain work on such trees, unless an exception applies", and says the work may go ahead sooner where the authority gives consent. gov.uk also states that consent "is needed for carrying out work on diseased and/or dying trees unless some other exemption applies", so a dying or diseased tree is not automatically exempt. Dying on its own does not establish a statutory exemption. We would put the council's page and the national guidance side by side and show which control applies to the work.
The council's own page adds that a felling licence may be needed even where there is no tree preservation order. The Forestry Commission's gov.uk guidance states that a licence is needed to fell growing trees in England unless an exemption applies, that subject to the applicable exemptions a licence is required above five cubic metres per calendar quarter, and that the five cubic metre exemption allows no more than two cubic metres to be sold. Trees in private gardens are among the listed exceptions. We would carry that point and the link on the rules page.
On wildlife, the gov.uk bats page states that "All bat species, their breeding sites and resting places are fully protected by law", and names damaging or destroying a breeding or resting place among the offences. The gov.uk wild birds page makes it against the law to "intentionally take, damage or destroy a wild bird's nest while it's being used or built". The rules page would carry both links.
We would explain how you check the conservation area boundary, the Estate Management Scheme, any tree preservation order and the proposed work before confirming whether a notice or consent is needed.