# Effects of Precipitation and Fire on Land Surface Phenology in the Brazilian Savannas (Cerrado)
## 2 Methodology
### Determination of the LSP Metrics Using TIMESAT
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**LSP Metric** & **Abb.** & **Description** & **Unit** \\ \hline Start of Season & SOS & Start time of growing season & DOY \\ \hline End of season & EOS & End time of growing season & DOY \\ \hline Length of the Season & LOS & Duration of the season & Days \\ \hline \multirow{3}{*}{Time for the Mid of the Season} & \multirow{3}{*}{TMS} & Mean value of the times for which, \multirow{3}{*}{20\% level and the right edge has decreased to the 80\% level} & \multirow{3}{*}{DOY} \\  & & & \\ \cline{1-1}  & & & \\ \cline{1-1}  & & & \\ \hline \multirow{3}{*}{Largest Data Value} & LDV & Largest NDVI in the season & - \\ \cline{1-1}  & & & \\ \hline \multirow{3}{*}{Base Level} & \multirow{3}{*}{BL} & Average of the left and right minimum NDVI values & \multirow{3}{*}{-} \\  & & & \\ \cline{1-1}  & & & \\ \cline{1-1}  & & & \\ \hline \multirow{3}{*}{\begin{tabular}{c} Amplitude \\ Start of the Season \\ \end{tabular} } & \multirow{3}{*}{AMS} & \multirow{3}{*}{NDVI value of the function at the time of SOS} & \multirow{3}{*}{-} \\  & & & \\ \cline{1-1}  & & & \\ \hline \multirow{3}{*}{\begin{tabular}{c} Value for the End \\ of the Season \\ \end{tabular} } & \multirow{3}{*}{AMS} & \multirow{3}{*}{NDVI value of the function at the time of EOS} & \multirow{3}{*}{-} \\  & & & \\ \cline{1-1}  & & & \\ \hline \multirow{3}{*}{\begin{tabular}{c} Rate of Increase \\ at the Beginning \\ of the Season \\ \end{tabular} } & \multirow{3}{*}{RIBS} & Ratio of the difference between the left 20\% and 80\% levels and the corresponding time & NDVI/DOY \\  & & & difference \\ \hline \multirow{3}{*}{\
\begin{tabular}{c} Rate of Decrease \\ at the End of the Season \\ \end{tabular} } & \multirow{3}{*}{RDES} & Ratio of the difference between the \multirow{3}{*}{NDVI/DOY} \\  & & right 20\% and 80\% levels and the \multirow{3}{*}{corresponding time difference} & NDVI/DOY \\  & & & corresponding time difference \\ \hline \multirow{3}{*}{
\begin{tabular}{c} Large Seasonal Integral \\ \end{tabular} } & \multirow{3}{*}{LSI} & Integral of the function describing the season & \multirow{3}{*}{NDVIxDOY} \\  & & from the SOS to the EOS & \\ \hline \multirow{3}{*}{Small Seasonal Integral} & \multirow{3}{*}{SSI} & Integral of the difference between the \multirow{3}{*}{NDVIxDOY} \\  & & function describing the season and the BL & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Land Surface Phenology (LSP) metrics calculated from TIMESAT based on NDVI. The description of each metric was adapted from [PERSON] and [PERSON] [27]. After smoothing the NDVI time series from both the MODIS MOD13Q1 and HLS products, the following 13 LSP metrics were extracted (Table 1): Start of the Season (SOS), End of the Season (EOS), and Length of the Season (LOS); Time for the Mid of the Season (TMS); Largest Data Value (LDV); Base Level (BL); Amplitude (AMP); NDVI Value at the Start (VSS) and End (VES) of the Season; Rate of Increase at the Beginning of the Season (RIBS); Rate of Decrease at the End of the Season (RDES); and the Large Seasonal Integral (LSI) and Small Seasonal Integral (SSI). A graphical representation of most of these metrics is shown in Figure 3. Details can be found in several references e.g., [27; 47].