Kirklees Council is expected to make a final decision on the planning application in March.
Chief Supt Tim Kingsman, Divisional Commander of Kirklees Police, said the march was peaceful.
Kirklees Council announced a serious case review after Matthews and Donovan were convicted in December 2008.
Bradford, Leeds and Kirklees councils said the weather meant sports pitches would be closed all weekend.
The weather has caused some disruption to bus services, particularly in the Kirklees and Calderdale areas.
Mike Potts, chief executive of NHS Calderdale, Kirklees and Wakefield District, said the proposed changes were "very significant".
It has also been proposed to close Marsden fire station in Kirklees and remove an engine from Halifax.
Local authorities said priority routes were being gritted, with Kirklees Council saying it had snowploughs ready to be used if necessary.
It has had trouble with clients over schools, from Kirklees in the north, westward to Wirral, down to Brighton in the south.
Now 17 months after the investigation was first launched, Kirklees Council has published a long-awaited report looking at whether the kidnap could have been prevented.
The BBC's Panorama programme learnt the youngster was well known to Kirklees social services and had been put on the "at-risk" register years before she disappeared.
However, Mehboob Khan, Labour leader of Kirklees Council, said he would "stand shoulder to shoulder" with local residents to fight the proposed changes at Dewsbury hospital.
And sceptics point to a plant in Kirklees that exceeded its pollution limits after a boiler accident evidence that incinerators are not as safe as their manufacturers claim.
ECONOMIST: Tough landfill targets prompt a return to flaming rubbish
It said that a performance improvement action plan was being implemented, along with a "mentoring" relationship with Kirklees College in Yorkshire, which recently moved from a rating of inadequate to good.
The Kirklees Safeguarding Children Board has been under pressure to publish the full report, especially after the Government made a commitment to getting full Serious Case Reviews into the public domain wherever possible.
The watchdog will monitor 15 areas - Birmingham, Blackburn with Darwen, Bradford, Burnley, Calderdale, Coventry, Hyndburn, Kirklees, Oldham, Pendle, Peterborough, Slough, Tower Hamlets, Walsall, and Woking - where there has been a history of cases of alleged fraud.
Councillors in Leeds and neighbouring Kirklees warned they had less than two days' supply of salt left, while private salt firm Grittit has brought in security guards after 75 tonnes of material was taken from its depots nationwide.
It is claimed two county councils - Lancashire and North Yorkshire - and six metropolitan boroughs - Calderdale, Doncaster, Ealing, Kirklees, Rotherham and St Helens - stopped placing youngsters with the care firms in Rochdale as a result of Mr Lambert's remarks.
Those colleges who can go ahead with their projects are: Barnsley College, Bournville College, Furness College, Hartlepool College of Further Education, Kirklees College, Leyton Sixth Form College, Manchester College - Wythenshawe, North West Kent College, St Helens College, Sandwell College, South Thames College, Tresham Institute of Further and Higher Education, Corby, and West Cheshire College.
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