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Octupous tree is highly invasive, and is a major threat to Hawai'i's forests. Conservation agencies target it for control in native forest areas. It grows really well on cliffs; it covers the windward cliffs on the Kaneohe side of the H3.
Invasive species: A non-native species whose introduction causes or is likely to cause economic or environmental harm, or harm to human health.
Kukui, sometimes called candlenut, is a Polynesian introduction to Hawai'i. It is a non-native species, but is culturally important. The definition of a non-native species is: "This species arrived in Hawaiʻi moved (knowingly or accidentally) by people or our conveyances (boats, planes). " Kukui nuts were made into lei or tops, and the meaty/oily kernal inside the nut was burned for light, or used for food (inamona).
Aloha @MitchellHashimoto, following up on DespinaTsafetopoulou's comment . . .
1st photo: Clidemia hirta, Koster's Curse ('bumpy' leaves)
2nd photo: Morinda citrifolia, Noni (big fruit)
3rd photo: Dicliptera chinensis (suggested - hard to say for sure)
4th photo: Spathodea campanulata, African tulip (seed pod)