People will still be visited by officers if they are throwing away recyclable waste.
The council said non-recyclable waste, including irons and mattresses, had been dumped at the sites turning them into "eyesores".
Vale of White Horse District Council has blamed "irresponsible companies" and "lazy individuals" for dumping non-recyclable waste at bin sites.
Buckinghamshire County Council said the facility was expected to convert 300, 000 tonnes of non-recyclable waste a year into enough energy to power up to 36, 000 homes.
About half of the local authorities in the UK currently operate so-called "alternate week collections", whereby recyclable waste is removed one week, and black bag rubbish the next.
The States has instructed PSD to introduce the house-to-house collection of recyclable waste - both inert and putrescible - as soon as possible, as part of a new strategy to increase recycling.
Companies that have their origin in social enterprise find that meeting commitments are part of their founding corporate DNA. New Jersey-based TerraCycle, for example, builds its products from non-recyclable waste that would otherwise be dumped in landfills.
FORBES: Clarifying Corporate Responsibility, Part III: Committing To Improvement
Many foreign firms, of course, are doing well in China, especially at the two extremes of the value chain: things like luxury goods, fibre-optic cable and big aeroplanes on the one hand, and oil, ores and recyclable waste on the other.
It portrays the innovative work of former Mayor of Curitiba (Brazil), Jaime Lerner, who was responsible for developing an efficient public transport system (the MetroBus), and a clever system of sorting of waste (Cambio verde), which offers to the poorest urban dwellers the possibility to exchange recyclable waste for fruits and vegetables.
Many councils have moved away from weekly collections in recent years, arguing that alternate weekly collections for household-and-food waste and recyclable items are more efficient and popular with residents.
BBC: Eric Pickles warns councils over weekly bin collections
Most households are provided with bins for garden waste, everyday non-recyclable rubbish and a container for paper and tins.
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