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Table 3 Parameter estimates of the models and their 95% confidence interval for some selected Districts in the Region

From: Space-time modelling of monthly malaria incidence for seasonal associated drivers and early epidemic detection in Southern Ethiopia

Districts

Parameter

Estimate

Districts

Estimate

Wolkite

\(\beta _{0}\)

−6.95 (−9.26, −4.64)

Sheshage

−7.13 (−11.12, −3.14)

\(\beta _{1}sin(2*pi*t/12)\)

0.101 (0.065, 0.138)

0.142 (0.109, 0.174)

\(\beta _{2}cos(2*pi*t/12)\)

0.417 (0.367, 0.467)

−0.224 (−0.264, −0.183)

\(\beta _{3}sin(2*pi*t/4)\)

−0.178 (−0.360, 0.003)

−0.163 (−0.331, 0.006)

\(\beta _{4}cos(2*pi*t/4)\)

0.134 (0.099, 0.169)

0.085 (−0.058, 0.228)

\(\beta _{5}log.precipitation\)

0.223 (0.105, 0.341)

0.307 (0.207, 0.407)8

\(\beta _{6}temperature\)

0.222 (0.163, 0.282)

0.368 (0.247, 0.488)

\(\beta _{7}humidity\)

0.123 (0.093, 0.154)

0.186 (0.161, 0.211)

\(\beta _{8}NTL\)

0.011 (0.010, 0.012)

−4.860 (−6.525, −3.195)

\(\sigma ^{2}\)

0.933 (0.012, 1.853)

0.890 (0.369, 1.412)

\(\phi\)

5.806 (5.640, 5.972)

6.976 (6.832, 7.120)

Dilla

\(\beta _{0}\)

−6.31 (−14.03, 1.42)

Selamago

−4.425 (−16.326, 7.476)

\(\beta _{1} sin(2*pi*t/12)\)

−0.097 (−0.679, 0.484)

0.089 (−0.143, 0.321)

\(\beta _{2}cos(2*pi*t/12)\)

0.410 (0.339, 0.482)

0.141 (−0.180, 0.463)

\(\beta _{3} sin(2*pi*t/4)\)

−0.039 (−0.065, −0.012)

0.104 (0.072, 0.137)

\(\beta _{4}cos(2*pi*t/4)\)

0.071 (0.043, 0.099)

0.278 (0.130, 0.426)

\(\beta _{5}log.precipitation\)

0.292 (0.170, 0.713)

0.776 (0.266, 2.015)

\(\beta _{6}temperature\)

0.750 (0.488, 1.011)

0.132 (0.112, 0.152)

\(\beta _{7}humidity\)

0.133 (0.091, 0.175)

0.009 (-0.009, 0.027)

\(\beta _{8}NTL\)

0.000 (−0.001, 0.002)

3.495 (−1.148, 8.138)

\(\sigma ^{2}\)

2.326 (1.967, 2.684)

0.223 (0.060, 0.385)

\(\phi\)

5.939 (5.783, 6.095)

1.524 (1.056, 1.991)

Bero

\(\beta _{0}\)

−9.494 (−15.047, −3.941)

Dasenech

−7.890 (−13.250, −2.531)

\(\beta _{1} sin(2*pi*t/12)\)

−0.154 (−0.486, 0.177)

0.422 (0.374, 0.470)

\(\beta _{2}cos(2*pi*t/12)\)

0.330 (0.030, 0.630)

0.125 (0.062, 0.188)

\(\beta _{3} sin(2*pi*t/4)\)

−0.066 (−0.20, 0.069)

−0.014 (−0.227, 0.198)

\(\beta _{4}cos(2*pi*t/4)\)

0.011 (−0.134, 0.156)

−0.119 (−0.364, 0.126)

\(\beta _{5}log.precipitation\)

0.634 (0.245, 1.022)

2.099 (0.507, 3.691)

\(\beta _{6}temperature\)

0.083 (0.012, 0.155)

0.192 (0.015, 0.370)

\(\beta _{7}humidity\)

−0.005 (−0.021, 0.010)

0.023 (−0.006, 0.052)

\(\beta _{8}NTL\)

−1.200 (−2.395, −0.004)

−0.625 (−8.857, 7.607)

\(\sigma ^{2}\)

0.768 (0.475, 1.061)

1.024 (0.414, 1.633)

\(\phi\)

5.393 (5.239, 5.548)

2.863 (2.592, 3.134)

Arbaminch

\(\beta _{0}\)

−4.755 (−7.924, −1.585)

Hawassa

−6.455 (−8.646, −4.264)

\(\beta _{1} sin(2*pi*t/12)\)

−0.329 (−0.577, −0.080)

0.334 (0.132, 0.535)

\(\beta _{2}cos(2*pi*t/12)\)

−0.070 (−0.097, −0.044)

0.085 (−0.156, 0.327)

\(\beta _{3} sin(2*pi*t/4)\)

0.106 (−0.002, 0.215)

0.020 (−0.082, 0.123)

\(\beta _{4}cos(2*pi*t/4)\)

0.118 (0.014, 0.223)

0.084 (−0.005, 0.172)

\(\beta _{5}log.precipitation\)

0.411 (0.256, 0.567)

0.605 (0.197, 1.012)

\(\beta _{6}temperature\)

0.389 (0.290, 0.487)

0.012 (-−0.040, 0.063)

\(\beta _{7}humidity\)

−0.037 (−0.055, −0.018)

−0.008 (−0.024, 0.007)

\(\beta _{8}NTL\)

0.021 (0.020, 0.021)

0.000 (0.000, 0.001)

\(\sigma ^{2}\)

0.538 (0.140, 0.936)

0.784 (−1.121, 2.689)

\(\phi\)

7.497 (7.375, 7.619)

17.129 (17.037, 17.220)