The aim of athletic training is to improve elite performance，whose theoretical models are different in different historical periods. This study focused on the later period of the 20th century, when
through two world wars, and usher in the era of "big science" of society, science and history background, to reveal and analyses the theoretical models and its evolution characteristics of the
athletic performance growth from that time on，and then to clarify the scientific basis and theory evolution characteristics.
Mainly using methods of historical research and literature to find the typical theory model. To be specific, according to the development of science background and literature references, etc.
1) the generally evolution approach of theoretical models of the athletic performance growth is as follows：the physiological model of “cycle of suercompensation”、“cycle of super adaptation”、“cycle of
supercompensation and compensatory adaptation”that based on the Selye’s GAS(general adaptation syndrome) model propsed in the 1950 s；to the computational models of CP（Critical
Power）、IR（Impulse-Response）、PerPot（The Performance Potential Metamodel）that based on physiology, physics and mathematics, computer science；2）Physiology is an important basis of athletic
training；3）Mathematical model by assuming and verification, to achieve effective expression of the complex biological system, and according to different individual parameters personalized
4）the PerPot that integration of computer information technology can use the existing data to optimize training plans and prevent excessive training immediately, with its strong operation function to
achieve a good fit between athletic training data and target results.
With other law of development of science and society, and the same to Jim Gray in “the fourth paradigm of science" ，data-intensive scientific theory or is also a scientific paradigm of athletic
training theory and method, and needs to be based on this paradigm, build the next theoretical model of the athletic performance growth.