The Cornwall Alliance posts: "Have mathematical models replaced good old-fashioned scientific testing? An understanding of the big picture in a field of study helps to frame and give essential perspective to that field. Take the field of natural science for instance. A big-picture look at the overall operation of the natural science profession has traditionally been seen in the “scientific method,” which consists of observation, hypothesis and testing. Rigorous testing of a hypothesis eventually leads to a “theory.”... Of late, mathematical modeling, an essential investigative tool, appears to have taken over the world of natural science. And with the ascension of modeling, the focus in scientific endeavors — particularly in the practice of atmospheric science — may have shifted away from the rigour of testing to verify a hypothesis and toward constructing a model to represent a theory."

Link