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appendix4.tex
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\chapter{WEEKLY RAINFALL EXCEEDING THE 75\texorpdfstring{\textsuperscript{th}}{th} PERCENTILE}
This appendix presents the cumulative probability distributions of weekly rainfall exceeding the 75\textsuperscript{th} percentile for the remaining four (4) probability distributions considered in the analysis. The Generalized Extreme-Value (GEV) distribution is the primary focus of the analysis presented in Chapter 4 Table 4.9 for weekly rainfall exceeding the 75\textsuperscript{th} percentile. However, these additional results are provided for exploration and comparative purposes.
\section{Cumulative Probability Distribution}
Figures below illustrates the cumulative probability distribution of weekly rainfall exceeding 75\textsuperscript{th} percentile for the five (5) probability distributions fitted in the study.
\subsection{Generalized Pareto Distribution}
\begin{figure}[H]
\centering
\subfloat[Butuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Butuan_GPD_CDF_weekly_0.75.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Cotabato_GPD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Butuan, and Cotabato}
\label{fig:weekly_0.75_appendix_gpd_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Davao_GPD_CDF_weekly_0.75.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Dipolog_GPD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Davao, and Dipolog}
\label{fig:weekly_0.75_appendix_gpd_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/El_Salvador_GPD_CDF_weekly_0.75.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/GenSan_GPD_CDF_weekly_0.75.png}}
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for El Salvador, and General Santos}
\label{fig:weekly_0.75_appendix_gpd_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Hinatuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Hinatuan_GPD_CDF_weekly_0.75.png}}\\
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Lumbia_GPD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Hinatuan, and Lumbia}
\label{fig:weekly_0.75_appendix_gpd_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Malaybalay_GPD_CDF_weekly_0.75.png}}\\
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Surigao_GPD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Malaybalay, and Surigao}
\label{fig:weekly_0.75_appendix_gpd_pt5}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Zamboanga_GPD_CDF_weekly_0.75.png}}
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Zamboanga}
\label{fig:weekly_0.75_appendix_gpd_pt6}
\end{figure}
\subsection{Gumbel Distribution}
\begin{figure}[H]
\centering
\subfloat[Butuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Butuan_GB_CDF_weekly_0.75.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Cotabato_GB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Butuan, and Cotabato}
\label{fig:weekly_0.75_appendix_gb_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Davao_GB_CDF_weekly_0.75.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Dipolog_GB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Davao, and Dipolog}
\label{fig:weekly_0.75_appendix_gb_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/El_Salvador_GB_CDF_weekly_0.75.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/GenSan_GB_CDF_weekly_0.75.png}}
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for El Salvador, and General Santos}
\label{fig:weekly_0.75_appendix_gb_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Hinatuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Hinatuan_GB_CDF_weekly_0.75.png}}\\
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Lumbia_GB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Hinatuan, and Lumbia}
\label{fig:weekly_0.75_appendix_gb_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Malaybalay_GB_CDF_weekly_0.75.png}}\\
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Surigao_GB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Malaybalay, and Surigao}
\label{fig:weekly_0.75_appendix_gb_pt5}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Zamboanga_GB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Zamboanga}
\label{fig:weekly_0.75_appendix_gb_pt6}
\end{figure}
\subsection{Gamma Distribution}
\begin{figure}[H]
\centering
\subfloat[Butuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Butuan_GD_CDF_weekly_0.75.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Cotabato_GD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Butuan, and Cotabato}
\label{fig:weekly_0.75_appendix_gd_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Davao_GD_CDF_weekly_0.75.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Dipolog_GD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Davao, and Dipolog}
\label{fig:weekly_0.75_appendix_gd_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/El_Salvador_GD_CDF_weekly_0.75.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/GenSan_GD_CDF_weekly_0.75.png}}
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for El Salvador, and General Santos}
\label{fig:weekly_0.75_appendix_gd_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Hinatuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Hinatuan_GD_CDF_weekly_0.75.png}}\\
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Lumbia_GD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Hinatuan, and Lumbia}
\label{fig:weekly_0.75_appendix_gd_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Malaybalay_GD_CDF_weekly_0.75.png}}\\
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Surigao_GD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Malaybalay, and Surigao}
\label{fig:weekly_0.75_appendix_gd_pt5}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Zamboanga_GD_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Zamboanga}
\label{fig:weekly_0.75_appendix_gd_pt6}
\end{figure}
\subsection{Weibull Distribution}
\begin{figure}[H]
\centering
\subfloat[Butuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Butuan_WB_CDF_weekly_0.75.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Cotabato_WB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Butuan, and Cotabato}
\label{fig:weekly_0.75_appendix_wb_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Davao_WB_CDF_weekly_0.75.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Dipolog_WB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Davao, and Dipolog}
\label{fig:weekly_0.75_appendix_wb_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/El_Salvador_WB_CDF_weekly_0.75.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/GenSan_WB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for El Salvador, and General Santos}
\label{fig:weekly_0.75_appendix_wb_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Hinatuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Hinatuan_WB_CDF_weekly_0.75.png}}\\
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Lumbia_WB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Hinatuan, and Lumbia}
\label{fig:weekly_0.75_appendix_wb_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Malaybalay_WB_CDF_weekly_0.75.png}}\\
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Surigao_WB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Malaybalay, and Surigao}
\label{fig:weekly_0.75_appendix_wb_pt5}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY (0.75)/Zamboanga_WB_CDF_weekly_0.75.png}}\\
\caption{CDF of Weekly Rainfall Exceeding the 75\textsuperscript{th} percentile for Zamboanga}
\label{fig:weekly_0.75_appendix_wb_pt6}
\end{figure}