During the past 30 plus years, we have been dealing with several fundamenta
l problems in prediction science. We believe that "the science of human nat
ural disasters" (natural disasters affecting mankind) is not well addressed
by the classical theory of dynamical systems. It is argued that there exis
t problems, when the theory of dynamic systems is used, related to (1) meas
urement inaccuracy of low energy effects, (2) computational inaccuracy of a
ccumulating error value effects, (3) failures of classical methods under ef
fects of vortical motion, etc. At the end, we will explain our methodology
of structural prediction, which has been shown to be more effective in prac
tical applications than the current widely employed methods.