A geneticist from Liverpool University has tracked down the genetics of the moth's colour change and explained its rapid evolution.
http://www.natureworldnews.com/articles/23278/20160603/black-peppered-moths-bizaare-color-attributed-to-industrial-revolution.htm
There is a link to this report:
http://www.smithsonianmag.com/smart-news/new-evidence-peppered-moths-changed-color-sync-industrial-revolution-180959282/?no-ist
which in turn has links to two papers in Nature = only abstracts are available free.