Transdisciplinarity Enabled
Table 2 Rainfall pattern of Cape Coast
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 |