Figure 2: Study region showing weather station locations. The shading indicates countries lying within the ‘meningitis belt’ as defined by the U.S. CDC1
The study region encompasses countries falling within both the meningitis belt and WAM region and includes Mali, Burkina Faso, Togo, Benin, Chad, and Cameroon as shown in Figure 2. Daily calculated relative humidity data from the GHCN network were obtained through NOAAs’ Climate Data Online (CDO) portal2. The World Meteorological Organization (WMO) maintains the GHCN network, constructed from data collected by national meteorological services. These data were obtained for 32 stations (Figure 2) within the study region with at least 90% coverage over 1973 – 2012. Investigations of large-scale climate variability used the gridded NCEP/NCAR reanalysis data (Kalnay et al. 1996) and gridded Kaplan sea-surface temperature reconstructions (Kaplan et al. 1998).
Methods
Monsoon dynamics were examined through variations in relative humidity in three periods defined as: monsoon onset, 15 May – 30 June; monsoon peak, 30 June – 15 September; and monsoon retreat, 15 September – 15 October. These periods are similar to those selected by the African Monsoon Multidisciplinary Analysis for their Special Observing Period (Redelsperger et al. 2006). For each period mean relative humidity was computed for each station and year providing a forty-year time series.
A K-means cluster analysis (Scott and Knott 1974) was performed separately for each period to identify the spatial variability and coherence of relative humidity. In this, locations are grouped in homogeneous clusters such that within cluster variability is minimum and between-cluster variability is maximum. A cluster index was then computed by averaging the relative humidity across stations in each cluster, to produce representative time series for each spatial region (cluster).
The cluster indices of relative humidity for each period were then correlated with a suite of contemporaneous global circulation fields including sea level pressure, zonal and meridional winds at 925mb, 600mb and 200mb, sensible and latent heat fluxes using the reanalysis data set; and with global Kaplan SST. The resulting spatial correlation maps were used to identify the large-scale ocean and atmospheric mechanism that drive the variability of relative humidity in the study region. Composite maps of selected fields corresponding to ‘high’ and ‘low’ relative humidity years were also produced to understand the physical links to extremes in relative humidity.
To explore the predictability of relative humidity in the region lagged correlation maps were produced with circulation fields and SST – in that the relative humidity in a period is correlated with large-scale fields from preceding time periods. For example, the onset period relative humidity index is correlated with large-scale fields from preceding April, March, February and January. Regions of high correlation values are used to develop potential predictors by spatially averaging over this region. The predictors are then used in a generalized linear modeling framework to develop predictive models at different lead times. This method has been widely used in application to western US streamflow forecasting (Grantz et al. 2005; Regonda et al. 2006; Bracken et al. 2010).
Results and Discussion
Spatial Variability
A K-means cluster analysis was performed on the average relative humidity at all the locations for the onset, peak and retreat periods. The data is grouped into several clusters and for each the within cluster variance is computed. The number of clusters where this variance drops off and stabilizes is the optimal number selected. Figure xx shows the within cluster variance versus number of clusters for the three periods. It can be seen that the variance drops off around three clusters in all the periods, indicating that higher number of clusters is unlikely to result in distinct homogeneous clusters.
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) 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)
(a) (b) (c)
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