Thus, we conclude that the temperature process at a smaller temporal scale is more complex any other enquiries than that at a larger temporal scale.The MCD values also provided the information about the dimension of the phase-space required for embedding the attractor. Because all the CD values at daily scale are above 2, at least 3 independent variables are needed at to describe the dynamics of temperature process at daily scale. The same reason tells us that at least 2 independent variables are needed to describe the dynamics of temperature process at monthly, seasonal, and annual scales.4.3. The Effect of Geographical Location and ElevationTable 1 showed that the CD values at different sites (the sites of meteorological station) are different at a same temporal scale (i.e., daily, monthly, seasonal, and annual scales).

Maybe their spatial patterns are affected by the geographical location and elevation.To reveal the correlation of the CD value with geographical location and elevation, we computed the correlation coefficients as in Table 2.Table 2The correlation coefficients between CD values with geographical location and elevation.Table 2 showed that on the daily scale, the CD value positively correlates with elevation at the significant level of 0.05, whereas on the monthly scale, the CD value positively correlates both with elevation and latitude at the significant levels of 0.05 and 0.01, respectively. To verify the correlation, we used the stepwise regression analysis method to fit the multiple linear regression equations (MLREs) between the CD value with geographical location and elevation at daily and monthly scales, which are as in Table 3.

Table 3MLREs between the CD values with geographical location and elevation at daily and monthly scales.Table 3 told us that on the daily and monthly scales, the CD values are well explained by the geographical location Entinostat and elevation at the significant levels of 0.006 and 0.000. The MLREs in Table 3 indicate that the site with higher elevation and latitude has a higher CD value. That is to say, the temperature dynamics at the site with higher elevation and latitude are of much higher complexity.Though the MLREs in Table 3 well explained the relation between CD value with geographical location and elevation at daily and monthly scales, the CD value has no significant correlation with elevation, latitude, and longitude at the seasonal and annual scales. What is the reason for this? Actually, beside the structural factor such as atmospheric circulation, the local temperature dynamics are also affected by the location, elevation, and other stochastic factors. Therefore, the CD value of temperature dynamic is a typical regionalized variable and its spatial pattern should be described by the variogram.