Chimpanzee cumulative cultural evolution

"Cumulative cultural evolution" has been identified by many authors as the thing that sets humans apart from animals. Animals have culturee - but it doesn't "add up" - supposedly. However the alternative hypothesis - that non-human animals have cumulative cultural evolution, but a low "complexity ceiling" has been poorly explored. Some recent articles weigh in on the topic:

• Yamamoto, Shinya, Humle, Tatyana and Tanaka, Masayuki (2013) Basis for Cumulative Cultural Evolution in Chimpanzees: Social Learning of a More Efficient Tool-Use Technique
• Howe, Rebecca (2013) Researchers find that cultural evolution is similar for humans and chimpanzees
• Kamilara, Jason M. and Atkinson, Quentin D. (2013) Cultural assemblages show nested structure in humans and chimpanzees but not orangutans

It looks as though non-human animal culture does "add up" - but rarely gets very far.

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Update 2014-11-06:

More:

• Claidière, Smith, Kirby and Fagot (2014) Cultural evolution of systematically structured behaviour in a non-human primate

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Update 2017-06-04:

• Gillian L. Vale et al. (2017) Acquisition of a socially learned tool use sequence in chimpanzees: Implications for cumulative culture, Evolution and Human Behavior