Miyazaki fans will notice that Conan occasionally does the handstands just like Mimiko does in Panda Kopanda. It's one of the more common riffs from the '70s. It also appeared on episodes of Heidi and 3000 Leagues in Search of Mother.
Oh, and that first shot of the giant tree is also a riff from a latter Heidi episode. If I could take screenshots, I'd post them and show you.