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CPS1887 Sahidan A. et al.
            4.  Discussion and Conclusion
                There are many missing values of the data used. One of the main cause of
            missing data from the satellite is cloud. In order to solve the missing issue, we
            indicated the missing value as zero. Even though, the missing data problems
            and the fluctuation of LST data, another issue of using cubic spline function to
            extract the annual LST seasonality was the optimal number of the knots. This
            study, we applied cubic spline model to extract the seasonality and trend in
            MODIS  LST  time  series  data  in  Taiwan.  The  results  show  that  by  using  an
            optimal number of knots and their placement were a high potential for using
            a cubic spline function with annual periodic boundary conditions. The study
            model,  we  fit  spline  which  consists  of  eight  knots.  The  results  illustrate
            smoothest trend and seasonality of the data used.
                The result from the day LST seasonal patterns for super-region, we can
            notice that the seasonal patterns for different sub-regions in the same region
            were quite similar pattern for every year. Even there were many missing data
            in the data sets, the cubic spline function satisfactorily extracted the seasonal
            pattern and trend. The result from the trend within the same region graph in
            northern and central part of Taiwan show stable trend in some super regions
            but, there is an accelerate increase in both part. Moreover, the trend look
            accelerate decrease in some northern part of Taiwan. In addition, cubic spline
            able to be used in every LST data in any coverage area and time. Moreover, it
            is one of an alternative method that could be considered to describe the
            seasonality by using satellite and climate data.

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