The fighting has caused a reduction in humanitarian services and a shortage of water for the displaced, Phillippe Carr told The Associated Press. Civilians are fleeing to the nearby South Sudanese town of Aburoc, Carr yesterday said.
On Tuesday, there were reports of shelling in the town of Kodok and yesterday the town was feared deserted with military helicopters sighted nearby.
"Virtually no part of the country is immune from conflict," Shearer told the 15-member body at the UN. He added there "has been no concerted effort by any party to adhere to a ceasefire."
The government offensive in Kodok appears to be one of the most significant so far this year, causing disarray among rebel leader Johnson Olony and his Shilluk forces. It is also expected to create a flow of civilians fleeing into neighboring Sudan.
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The UN envoy said the number of people fleeing South Sudan reached about 60,000 per month in the first three months of the year.
If that rate continues, Shearer said, before the end of 2017 "we'll have more than two million people who will be refugees."
He said religious leaders in the "critical town" of Torit in Eastern Equatoria in the south told him recently that 75 per cent of the town's population had fled to Uganda.
"Men, women and children are suffering and dying of starvation because the leadership at various levels is failing to prevent it," Mogae said.
The International Committee of the Red Cross also evacuated its aid workers from Kodok, spokeswoman Alyona Synenko told AP.
A spokesman for South Sudan's military was not available for comment.
The attack on Kodok comes after a flurry of recent government offensives across South Sudan and questions the legitimacy of an August 2015 peace deal signed by President Salva Kiir.
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