Concerns remain over the fate of people on two hard-hit smaller islands, where most houses were destroyed, it said.
However, a local phone network was working, allowing Tongans to call each other.
The tsunami that swept over coastal areas after the eruption was frightening for many but rose only about 80 centimeters 2.
Another worry, said Greenwood, is that the volcano could erupt again.
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In particular, he said they were trying to address specific needs they had identified, those of the elderly or disabled.