(CNN) Save the Children says that an estimated 85,000 children under the age of 5 may have died from extreme hunger or disease since the war in Yemen escalated more than three years ago.

Through new analysis of United Nations data, the leading international charity found that between April 2015 and October 2018, about 84,701 children under 5 died from untreated cases of severe acute malnutrition -- or in simple terms, hunger.

These grim figures, detailing the horrors of the world's worst humanitarian crisis, come as intense fighting has again erupted in Yemen's strategic port city of Hodeidah -- a vital entry point for UN and other humanitarian aid and the center of the conflict between the US-backed Saudi-led coalition and the Iranian-aligned Houthis.

The renewed violence follows progress toward ending Yemen's war of nearly four years, a conflict that has killed at least 10,000 people and has pushed the nation to the brink of the world's worst famine in 100 years, leaving 14 million people at risk of starvation, according to the United Nations.

Since a Saudi coalition blockade of the port of Hodeidah, followed by ongoing violence and other disruptions, commercial imports of food have dropped by more than 55,000 metric tons a month, according to Save the Children. That food could meet the needs of 4.4 million people, half of whom are children. Any further decline in imports, the charity warns, could lead to famine.

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