The single most important and most frequently quoted scientific research study on rebounding was conducted in 1980 through NASA by A. Bhattacharya, E.P. McCutcheon, E.Shvartz, and J.E. Greenleaf; Biomechanical Research Division, NASA-Ames Research Center, Moffett Field, California, in cooperation with the Wenner-Gren Research laboratory, University of Kentucky, Lexington, Kentucky
This NASA study, which confirms the extraordinary fitness benefits of bouncing, helped to bring rebounding to the awareness of the World.
Because it’s an academic paper, written with the assumption that it would only be read by other scientists and researchers, it’s not the easiest read, but it contains a wealth of information about the benefits of bouncing. It goes into detail about oxygen consumption and muscular involvement, and concludes that bouncing provides better all-around benefits than running, isotonic (weight lifting) and isometric exercise.
Finding and Conclusion:
Source
https://en.wikipedia.org/wiki/Rebound_exercise#NASA_study_and_scientific_support_generally