The grid raster of DEM, K_s, K, and K_s·K with the resolution of 100 m were used to calculate TI and TI′. The spatial distributions of TI and TI′ in YLX, WJB, and HQ are plotted in Figure 3 and their statistical results are listed in Table 2. As shown in Figure 3, the spatial distribution of TI1, TI2, and TI3 for each watershed are significantly different from that of TI after incorporating K_s, K, and K_s·K, respectively. Since almost all of the Ks values are greater than 1, all of the K values are less than 1 (shown in Table 1), and both K_s and K are incorporated into the denominator of the index α/tanβ, so the values of TI1 and TI2 are less and greater than TI, respectively. Depending on the product of K_s and K, TI3 is generally lower than TI, as the K_s values are commonly much larger than K. The changes of TI1 and TI3 are more obvious than the changes of TI2 because the K_s and K_s·K values are larger than K to cause more evident changes. The spatial heterogeneities of TI1 and TI3 are much stronger than TI and TI2.