Researchers from the Naturalis Biodiversity Center in The Netherlands examined woolly rhino and modern rhino neck vertebrae from several European and American museum collections.
They noticed that the remains of woolly rhinos from the North Sea often possess a 'cervical' (neck) rib - in contrast to modern rhinoceros.
The study, published in the journal PeerJ, on the incidence of abnormal cervical vertebrae in woolly rhinos, strongly suggests a vulnerable condition in the species.
In modern animals, the presence of a 'cervical rib' (a rib attached to a cervical vertebra) is an unusual event, and is cause for further investigation, researchers said.
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Though the rib itself is relatively harmless, this condition is often associated with inbreeding and adverse environmental conditions during pregnancy.
Frietson Galis, one of the authors of the study, has previously found a remarkably high percentage of these neck ribs in the woolly mammoth.
"Our work now shows that there was indeed a problem in the woolly rhino population," van der Geer said.
The absence of cervical ribs in the modern sample is by no means evidence that rhino populations today are healthy. Museum collections are based on rhino specimens that were collected at least five decades ago, researchers said.
Rhinoceros numbers are dwindling extremely fast, especially the last two decades, resulting in near extinction for some species and the total extinction of the western black rhinoceros, they said.