York mathematician helps to secure settlement for livestock firm

Posted on Tuesday 14 October 2014

In 2012, a herd of pigs owned by a North Yorkshire farmer was disturbed by a low-flying balloon coming within several hundred metres of the animals, and firing its burners. The pigs stampeded to a corner of the field, injuring each other as they went. As well as a boar dying from its injuries the next day, the pregnant sows suffered a number of aborted piglets and stillbirths. 

One issue in the dispute related to the exact location of the balloon in relation to the animals – the insurers for the company providing the balloon ride used GPS data generated during the flight to claim that the balloon didn’t come closer than 750 metres from the pigs, and so could not have caused the stampede. 

Representing the farmer, Darren Morgan of Langleys Solicitors in York, disputed this claim, having obtained both eyewitness and photographic evidence that the balloon was considerably closer and therefore liable for the ensuing loss of livestock. 

Darren Morgan realised that using the balloon’s dimensions, and other information such as the height of the trees in the photograph and the distance between the trees and the photographer, the exact position of the balloon could be calculated. 

He contacted Professor Fewster, who subsequently concluded that the balloon was between 750 and 760 metres from the photographer when the photo was taken. As the pigs were around 560m closer to the balloon flight path than the photographer, Professor Fewster’s report put the balloon at around 300m from the pigs when it fired its burner – significantly closer than the balloon company’s insurers were arguing. 

Following Professor Fewster’s report, and having made an initial offer of £10,000, the balloon company’s insurers have now agreed a settlement of £38,782. 

Professor Fewster said: “The wonderful thing about mathematics is that it helps us think clearly about the world. This case shows how even relatively simple mathematics like trigonometry can make an important contribution. I am delighted to have helped the parties arrive at a settlement.” 

Darren Morgan, dispute resolution partner at Langleys Solicitors, said: “This was a particularly interesting case because the exact position of the hot air balloon in relation to the herd of pigs would have been almost impossible to prove without both the initial photographic evidence, and the subsequent calculations from Professor Fewster. 

“We are delighted that an agreeable settlement was reached, which we feel adequately compensates the farmer for his losses.”  

The hot air balloon company in the case was Cameron Flights Southern Limited which went into liquidation in April 2013.