I am looking for a single term that can be used to describe both "trends and patterns" of natural phenomenon such as natural hazards (storms, floods, rainfall, tropical cyclones etc.)
Dear Muhammad, by "trend and patterns" you mean the temporal and spatial evolution of the natural hazards? If so, we use the expression "spatio-temporal evolution". I would not prefer "hazard behavior" as it does not say much to me. Cheers!
Dear Muhammad, the expression that I suggested is very common and used in many documents. It covers all the hazards that you mention. There are a lot of official documents and articles to cite if search on net. I attach you 2 examples. Regards.