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Table 2 Rainfall pattern of Cape Coast

From: Markov chain analysis of the rainfall patterns of five geographical locations in the south eastern coast of Ghana

Month Initial matrix (p) Long term probability matrix Probability of either ‘rain’ or ‘dry’ on a day
January \( \left(\begin{array}{l}0.06\ 0.94\\ {}0.16\ 0.84\end{array}\right) \) \( {p}^8=\left(\begin{array}{c}\hfill 0.145\ 0.854\hfill \\ {}\hfill 0.145\ 0.854\hfill \end{array}\right) \) 0.145 0.854
February \( \left(\begin{array}{c}\hfill 0.14\ 0.86\hfill \\ {}\hfill 0.07\ 0.93\hfill \end{array}\right) \) \( {p}^6=\left(\begin{array}{c}\hfill 0.075\ 0.923\hfill \\ {}\hfill 0.075\ 0.923\hfill \end{array}\right) \) 0.075 0.923
March \( \left(\begin{array}{c}\hfill 0.23\ 0.77\hfill \\ {}\hfill 0.06\ 0.94\hfill \end{array}\right) \) \( {p}^9=\left(\begin{array}{c}\hfill 0.072\ 0.928\hfill \\ {}\hfill 0.072\ 0.928\hfill \end{array}\right) \) 0.072 0.928
April \( \left(\begin{array}{c}\hfill 0.29\ 0.71\hfill \\ {}\hfill 0.42\ 0.58\hfill \end{array}\right) \) \( {p}^6=\left(\begin{array}{c}\hfill 0.280\ 0.720\hfill \\ {}\hfill 0.280\ 0.720\hfill \end{array}\right) \) 0.280 0.720
May \( \left(\begin{array}{c}\hfill 0.23\ 0.77\hfill \\ {}\hfill 0.30\ 0.70\hfill \end{array}\right) \) \( {p}^8=\left(\begin{array}{c}\hfill 0.372\ 0.628\hfill \\ {}\hfill 0.372\ 0.628\hfill \end{array}\right) \) 0.372 0.628
June \( \left(\begin{array}{c}\hfill 0.60\ 0.40\hfill \\ {}\hfill 0.27\ 0.43\hfill \end{array}\right) \) \( {p}^{13}=\left(\begin{array}{c}\hfill 0.403\ 0.597\hfill \\ {}\hfill 0.403\ 0.597\hfill \end{array}\right) \) 0.403 0.597
July \( \left(\begin{array}{c}\hfill 0.45\ 0.55\hfill \\ {}\hfill 0.55\ 0.45\hfill \end{array}\right) \) \( {p}^7=\left(\begin{array}{c}\hfill 0.50\ 0.50\hfill \\ {}\hfill 0.50\ 0.50\hfill \end{array}\right) \) 0.50 0.50
August \( \left(\begin{array}{c}\hfill 0.23\ 0.77\hfill \\ {}\hfill 0.39\ 0.61\hfill \end{array}\right) \) \( {p}^8=\left(\begin{array}{c}\hfill 0.336\ 0.664\hfill \\ {}\hfill 0.336\ 0.664\hfill \end{array}\right) \) 0.336 0.664
September \( \left(\begin{array}{c}\hfill 0.33\ 0.67\hfill \\ {}\hfill 0.10\ 0.90\hfill \end{array}\right) \) \( {p}^{10}=\left(\begin{array}{c}\hfill 0.130\ 0.870\hfill \\ {}\hfill 0.130\ 0.870\hfill \end{array}\right) \) 0.130 0.870
October \( \left(\begin{array}{c}\hfill 0.32\ 0.68\hfill \\ {}\hfill 0.42\ 0.58\hfill \end{array}\right) \) \( {p}^7=\left(\begin{array}{c}\hfill 0.382\ 0.618\hfill \\ {}\hfill 0.382\ 0.618\hfill \end{array}\right) \) 0.382 0.610
November \( \left(\begin{array}{c}\hfill 0.23\ 0.77\hfill \\ {}\hfill 0.17\ 0.83\hfill \end{array}\right) \) \( {p}^6=\left(\begin{array}{c}\hfill 0.182\ 0.820\hfill \\ {}\hfill 0.182\ 0.820\hfill \end{array}\right) \) 0.182 0.820
December \( \left(\begin{array}{c}\hfill 0.03\ 0.97\hfill \\ {}\hfill 0.13\ 0.87\hfill \end{array}\right) \) \( {p}^7=\left(\begin{array}{c}\hfill 0.118\ 0.882\hfill \\ {}\hfill 0.118\ 0.882\hfill \end{array}\right) \) 0.118 0.882