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appendix2.tex
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\chapter{WEEKLY RAINFALL}
This appendix presents cumulative probability distributions of weekly rainfall. The analysis in Chapter 4 Table 4.5 focuses on three probability distributions: Generalize Pareto (GPD) for three stations, Generalized Extreme-Value (GEV) distribution for eight stations and the Gumbel distribution for one station. These additional distributions are presented for those who want to explore the data further and compare different probability distributions.
\section{Cumulative Probability Distribution}
The following figure shows the cumulative probability distribution of weekly rainfall 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/ButuanGPD_CDF_weekly.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/CotabatoGPD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Butuan, and Cotabato}
\label{fig:weekly_without_threshold_appendix_gpd_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/DavaoGPD_CDF_weekly.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/DipologGPD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Davao, and Dipolog}
\label{fig:weekly_without_threshold_appendix_gpd_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/El_SalvadorGPD_CDF_weekly.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/GenSanGPD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for El Salvador, and General Santos}
\label{fig:weekly_without_threshold_appendix_gpd_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/LumbiaGPD_CDF_weekly.png}}\\
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/GenSanGPD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Lumbia, and Malaybalay}
\label{fig:weekly_without_threshold_appendix_gpd_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{CDF Weekly/MalaybalayGPD_CDF_weekly.png}}\\
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/ZamboangaGPD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Surigao, and Hinatuan}
\label{fig:weekly_without_threshold_appendix_gpd_pt5}
\end{figure}
\subsection{Generalized Extreme-Value Distribution}
\begin{figure}[H]
\centering
\subfloat[Butuan]{\includegraphics[width=0.8\linewidth]{CDF Weekly/ButuanGEV_CDF_weekly.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{CDF Weekly/CotabatoGEV_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Butuan, and Cotabato}
\label{fig:weekly_without_threshold_appendix_gev_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{CDF Weekly/DavaoGEV_CDF_weekly.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{CDF Weekly/DipologGEV_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Davao, and Dipolog}
\label{fig:weekly_without_threshold_appendix_gev_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/El_SalvadorGEV_CDF_weekly.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{CDF Weekly/GenSanGEV_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for El Salvador, and General Santos}
\label{fig:weekly_without_threshold_appendix_gev_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Hinatuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/HinatuanGEV_CDF_weekly.png}}\\
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{CDF Weekly/LumbiaGEV_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Hinatuan, and Lumbia}
\label{fig:weekly_without_threshold_appendix_gev_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/MalaybalayGEV_CDF_weekly.png}}\\
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{CDF Weekly/SurigaoGEV_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Malaybalay, and Surigao}
\label{fig:weekly_without_threshold_appendix_gev_pt5}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{CDF Weekly/ZamboangaGEV_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Zamboanga}
\label{fig:weekly_without_threshold_appendix_gev_pt6}
\end{figure}
\subsection{Gumbel Distribution}
\begin{figure}[H]
\centering
\subfloat[Butuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/ButuanGB_CDF_weekly.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/CotabatoGB_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Butuan, and Cotabato}
\label{fig:weekly_without_threshold_appendix_gumbel_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/DavaoGB_CDF_weekly.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/DipologGB_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Davao, and Dipolog}
\label{fig:weekly_without_threshold_appendix_gumbel_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{CDF Weekly/El_SalvadorGB_CDF_weekly.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/GenSanGB_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for El Salvador, and General Santos}
\label{fig:weekly_without_threshold_appendix_gumbel_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Hinatuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/HinatuanGB_CDF_weekly.png}}\\
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/LumbiaGB_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Hinatuan, and Lumbia}
\label{fig:weekly_without_threshold_appendix_gumbel_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/MalaybalayGB_CDF_weekly.png}}\\
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/SurigaoGB_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Malaybalay, and Surigao}
\label{fig:weekly_without_threshold_appendix_gumbel_pt5}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/ZamboangaGB_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Zamboanga}
\label{fig:weekly_without_threshold_appendix_gumbel_pt6}
\end{figure}
\subsection{Gamma Distribution}
\begin{figure}[H]
\centering
\subfloat[Butuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/ButuanGAMMA_CDF_weekly.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/CotabatoGAMMA_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Butuan, and Cotabato}
\label{fig:weekly_without_threshold_appendix_gamma_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/DavaoGAMMA_CDF_weekly.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/DipologGAMMA_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Davao, and Dipolog}
\label{fig:weekly_without_threshold_appendix_gamma_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/El_SalvadorGAMMA_CDF_weekly.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/GenSanGAMMA_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for El Salvador, and General Santos}
\label{fig:weekly_without_threshold_appendix_gamma_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Hinatuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/HinatuanGAMMA_CDF_weekly.png}}\\
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/LumbiaGAMMA_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Hinatuan, and Lumbia}
\label{fig:weekly_without_threshold_appendix_gamma_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/MalaybalayGAMMA_CDF_weekly.png}}\\
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/SurigaoGAMMA_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Malaybalay, and Surigao}
\label{fig:weekly_without_threshold_appendix_gamma_pt5}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/ZamboangaGAMMA_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Zamboanga}
\label{fig:weekly_without_threshold_appendix_gamma_pt6}
\end{figure}
\subsection{Weibull Distribution}
\begin{figure}[H]
\centering
\subfloat[Butuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/ButuanWD_CDF_weekly.png}}\\
\subfloat[Cotabato]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/CotabatoWD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Butuan, and Cotabato}
\label{fig:weekly_without_threshold_appendix_wd_pt1}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Davao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/DavaoWD_CDF_weekly.png}}\\
\subfloat[Dipolog]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/DipologWD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Davao, and Dipolog}
\label{fig:weekly_without_threshold_appendix_wd_pt2}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[El Salvador]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/El_SalvadorWD_CDF_weekly.png}}\\
\subfloat[General Santos]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/GenSanWD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for El Salvador, and General Santos}
\label{fig:weekly_without_threshold_appendix_wd_pt3}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Hinatuan]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/HinatuanWD_CDF_weekly.png}}\\
\subfloat[Lumbia]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/LumbiaWD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Hinatuan, and Lumbia}
\label{fig:weekly_without_threshold_appendix_wb_pt4}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Malaybalay]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/MalaybalayWD_CDF_weekly.png}}\\
\subfloat[Surigao]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/SurigaoWD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Malaybalay, and Surigao}
\label{fig:weekly_without_threshold_appendix_wb_pt5}
\end{figure}
\begin{figure}[H]
\centering
\subfloat[Zamboanga]{\includegraphics[width=0.8\linewidth]{APPENDIX CDF WEEKLY/ZamboangaWD_CDF_weekly.png}}\\
\caption{CDF of Daily Rainfall for Zamboanga}
\label{fig:weekly_without_threshold_appendix_wb_pt6}
\end{figure}