Farmers have warned the government that their industry faces collapse.
Less than half of contracted pigs were taken by processors at the start of the year - and one in three pigs taken are not going into the food chain.
The NPA and NFU have called on Defra Secretary George Eustice to call an emergency summit with the supply chain to find solutions to the worsening crisis in the pig sector.
The call comes as the pig backlog is now estimated to be well in excess of 170,000 due to a lack of butchers in pork processing plants, and tens of thousands of healthy pigs being culled on farms by desperate producers who have run out of space.
The expectation is that, unless things change dramatically, the backlog and ongoing food waste will remain until at least June.
Meanwhile, challenging market conditions, exacerbated by the costs associated with the backlog, record pig feed costs and falling pig prices, mean farmers have now been losing approximately £25 per pig for nearly a year.
In a joint letter to Mr Eustice, NPA chairman Rob Mutimer and NFU president Minette Batters said the situation was ‘deteriorating’ for pig producers and was ‘clearly not sustainable’.
They said it was ‘totally unacceptable that processors continue to take overweight pigs that they contracted farmers to produce at hugely discounted prices’.
The NPA is aware of 30,000 sows that have been lost from the English sow herd over the last six months, equating to around 10 per cent of the herd, although this is likely to be an underestimate.
“We are aware of 40 independent farms that have left the industry already,” the letter states.
“All of these factors are taking a huge toll on farmers’ mental health as the crisis worsens every week, especially for those having to endure the trauma of culling healthy animals when there seems to be no end in sight.”
The NPA and NFU stressed that the industry support measures introduced in October are not working and have failed to alleviate the backlog of pigs.
The NPA is aware of only 105 butchers that have, or are due to arrive, using the seasonal visa scheme.
Defra appears to have received only three applications for Private Storage Aid and there has been no take up of the Slaughter Incentive Payment Scheme.
Mr Mutimer said: “The situation is utterly dire on pig farms, both in terms of the backlog, and financially.
"We are already seeing a significant drop in breeding herd numbers, and we fear that if nothing changes, we could see a mass exodus from this industry over the next 12 months.
"Once we lose that production base, we won’t get it back.
“We need some urgent solutions now, which is why we are asking Mr Eustice to bring everyone together – and soon – to discuss how we can all work collectively to prevent this crisis becoming a catastrophe for the British industry.”
NFU President Minette Batters said: “The situation facing pig farmers across the country is absolutely devastating and is causing enormous emotional, mental and financial stress for these hard-working, farming families.
“This is a situation completely out of their control and the fact we are seeing the first ever cull of healthy pigs in this country is absolutely heart-breaking for those farmers and all of us in farming.
“This has gone on for far too long. It is essential that the Secretary of State convenes this urgent summit to find solutions that can alleviate this crisis.”
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