I know that for me I first got started following the waterfall method of project management and along with that I went with the predictive approach to software design. In this I mean we had huge packets of documentation, UML, database schemas, data dictionaries, workflows, activity diagrams, etc.
Having worked in software for over 10 years now I find it to be much more realistic to approach software design from a Reactive approach. I frequently follow a scrum approach to project management and with that very little heavy documentation is ever generated. We have very little workflow specification (though they still have there use). This is a much more dynamic approach to software creation. Of course along with it comes frequent refactoring as time goes on as we find out new features over time that had we planned for up front would have changed things dramatically.
The big difference for us is that the first approach takes longer, seems to fail more frequently in a software construction world, and isn't nearly as flexible. The second approach provides more flexibility, makes us aware of failure faster (so we can course correct faster), and provides some form of functionality at the end of every iteration.
Knowing both sides from experience, I still find many people that LOVE the waterfall approach over the agile approach for software development. I don't get it.
question: Why would someone use waterfall over some form of agile with all of the research backing agile? What are strong arguments for using waterfall over agile?