Simulation of Atmosphere Temperature of the 20th Century in 50 US State Capitals with Random Walk

Although humans have been recording the temperature for about 200 years, the temperature in the 20th century is more important because the trend of increase of temperature was observed. The increasing temperature has been the objective of many studies across natural and social sciences. The similarity between the temperature and the curve generated by the random walk model was noticed in 1991, since then, however, very few studies have been conducted along this research line due to the limitation of computational power. In this study, we use the random walk model to simulate the atmosphere temperature of the 20th century in 50 US state capitals in terms of converting the temperature into its simplest form with random walk simulation as well as the recorded temperature. The results show that the random walk model can simulate the simplest form of temperature and recorded temperature satisfactorily.