Distribution of Convective Intensities in West Africa Using Reflectivity and Ice Scattering Characteristics from TRMM Precipitation Features

An evaluation of Radar Precipitation Feature (RPF) characteristics and distribution of convective intensity is performed across 12 regions in West Africa. Results presented in this study have shown that these characteristics over West Africa revealed interesting results which were not observed on a larger spatial scale. The ice scattering characteristics and heights attained by the 15, 20, 30, and 40 dBZ echoes show patterns that agree with the season and movement of the Inter-Tropical Discontinuity (ITD). Some locations in the Western-coast rainforest, Nigeria/Cameroon rainforest and South Sudan savannah had strong potential for convective intensity during MAM, JJA, and SON as shown by their 37-GHz and 85-GHz PCT which fell below 250 K and 225 K respectively while the maximum height attained by their 20 dBZ, 30 dBZ and 40 dBZ are well above the freezing level in those locations. One result revealed a location on the eastern part of south-central Sahel (SC Sahel) where the maximum height attained by the 30 dBZ reflectivity is above 12 km and the maximum height attained by the 40 dBZ reflectivity is above 10 km during SON. The 37-GHz and 85-GHz PCT for this particular location are below 215 K and 150 K respectively indicating a very strong potential for intense convection and hence destructive storms. The distribution of convective intensity, considering only the 85GHz PCT ice scattering signature, revealed that the percentage of convective intensity increases, especially in the rainforest and savannah, as the ITD shifts northwards during MAM, JJA and during its retreat in SON.


Introduction
The Tropical Rainfall Measuring Mission (TRMM) satellite has collected detailed measurements of rainstorms in the Tropics and subtropics since its launch in late 1997.The instrument suite provides simultaneous measurement of many quantities related to precipitation, for example, radar reflectivity, passive microwave brightness temperature, infrared cloud-top temperature, lightning flash rate and location.This combination allows detailed characterization of individual precipitation features.The precipitation features are basically contiguous areas of precipitation, with no upper limit imposed on their size.A single precipitation feature can be smaller than 100 km 2 or larger than 10,000 km 2 , containing many individual convective cells.The characteristics of precipitation features are presented here, representing the first eleven (11) years of TRMM observations over twelve (12) selected regions in West Africa.The purpose is to provide a subtropical context for individual cases and for regional, seasonal, or other regime-dependent studies.Furthermore, the study seeks to improve the understanding of individual measurable characteristics by exploiting simultaneous measurements of other characteristics derived from radar precipitation features in the TRMM precipitation radar.
The University of Utah Precipitation Feature (PF) database, also operating at Texas A & M University Corpus Christi (TAMUCC), is a large and comprehensive database which enables qualitative and quantitative analysis of relationships between these characteristics, [1] [2] [3], and/or much smaller sets of storms from particular regions [4] [5] [6].Many of the relationships presented here are consistent with those reported in previous studies, but the size of this database and the unique combination of radar, radiometer, and lightning sensor allow some analyses that would otherwise be less comprehensive or even impossible.Emphasis is placed on the most vigorous and/or largest features, as these have the greatest impact on the hydrologic cycle, latent heating, atmospheric composition, and hazards to humans.
Dual polarized (vertical and horizontal) passive microwave observations provide two major pieces of information about precipitation: 1) an emission signal and 2) a scattering signal.The emission signal comes from attenuation by liquid water below the freezing level.This attenuation is related to the surface rain rate via assumptions about the partitioning of cloud and rain water, and the vertical profile of rain water.The scattering signal is observed when the brightness temperature is depressed [7] [8] [9] [10] by scattering due to optical depths of precipitation-sized ice particles above the freezing level within the instrument footprint (5 -7 km for TMI, with 14 km between successive scans), which is also related to clouds and precipitation.The magnitude of this ice scattering signature depends on the optical depth, which in turn depends on factors such as the wavelength, the vertical distribution of hydrometeors, and the phase, density, size, and concentration of these hydrometeors.
Because of its shorter wavelength, 85-GHz (3.5-mm wavelength) is more sensitive to smaller ice particles than the 37-GHz (8.1-mm wavelength), [11].Small precipitation-sized ice particles scatter less of the upwelling radiation at longer wavelength.
Compared to 85-GHz PCT, 37-GHz PCT is more sensitive to large ice particles in the precipitating systems than to small ice particles.Thus, low values of minimum PCT at 85-GHz tend to indicate a large ice water path, while low values at 37-GHz tend to indicate that the feature contains larger ice particles, [12].Particles with diameters several hundred microns or larger are in the Mie regime at 85-GHz, but only O (mm) size particles are in the Mie regime at 37-GHz.The magnitude of 85-GHz scattering, as indicated by the PCT, has been used to characterize the vigor and spatial extent of convective systems (e.g., [5] [13] [14] [15]).The 85-and 37-GHz channels can only detect the scattering signature from ice particles with diameters greater than about 0.1 mm.The TMI usually cannot observe signals from anvil clouds because ice particles in anvils are usually smaller than 0.1 mm.However, the VIRS 10.8-mm channel is sensitive to the cloud-top temperature.
The West African major climatic regions include the Rainforest, Savannah, and Sahel.These climatic regions are further divided into smaller (micro) sub-regions as shown in Figure 1.The Rainforest (tropical wet) climate lies below the northern savanna region.It is a wet and warm climate with high, all-year rainfall.The average annual rainfall can be as much as 1800 mm, and the climate resembles the equatorial climate.However, although rainfall is more concentrated in one season, no month is rainless.This zone has towering evergreen trees, oil palms, and numerous species of is mostly confined to within June through September.The vegetation is relatively sparse, and grasses and shrubs predominate.This paper seeks to understand convective intensities in the West Africa sub-region and how these intensities are distributed across each zone under investigation.
Table 1 shows how each of these climate regions was partitioned based on their Table 1.Sub_regions, number of boxes in a sub_region, and their respective longitudes and latitudes.2) Radar Reflectivity Characteristics.

Data and Methodology
[13] used a 250 K 85-GHz PCT threshold as a proxy for moderate rainfall in defining Mesoscale Convective Systems (MCS).Although 250 K at 85-GHz usually corresponds to a greater rain rate (~3 mm•h −1 ) than 20 dBZ reflectivity (~0.5 mm•h −1 ), it is noteworthy and not surprising that so much of the area (land areas close to the ocean) experiencing rainfall (at least 20-dBZ radar reflectivity) has an 85-GHz PCT between 182 K and 250 K. [16] reasoned that storms containing higher 30 dBZ heights likely contain more intense electric fields (and therefore more lightning), larger supercooled water and ice water contents; the second condition leading to lower 85-GHz PCTs.
While we adopt the view that intensity can be defined by the properties of the convective updrafts in a storm, it is impossible to measure them around the world [17].
Therefore, we define proxies for convective intensity that can be measured by the TRMM satellite.Besides the lightning measurements from TRMM, the radar reflectivities and passive microwave brightness temperatures have been used as proxies for convective vigour.This is based on large graupel or hail lofted by strong updrafts being the cause of high-radar reflectivity values aloft and extremely low brightness temperatures.
Following [17] which was based on [18] and physical reasoning outlined in many other studies, proxies for convective intensity are defined as follows:  The higher the height attained by the 40-dBZ level in a PF, the more intense the storm;  The lower the minimum brightness temperature attained in a PF at 37 and 85 GHz, the more intense the storm; and  The greater the lightning flash rate attained in a PF, the more intense the storm.
To remove the ambiguity between low brightness temperatures due to ice scattering and due to low surface emissivity, the TMI vertically and horizontally polarized brightness temperatures were combined at 37 GHz and 85 GHz yielding a Polarization Corrected Temperature (PCT).At 85 GHz, [10] developed the relationship: The one at 37 GHz defined by [11] was utilized as follows: where T B is the brightness temperature, V and H in the subscripts are vertical and horizontal polarizations, respectively.
The 85-GHz PCT depends on the scattering of upwelling radiation by the lofted precipitation-sized ice particles.This ice scattering signature responds to the whole column of ice, often expressed as ice water content integrated over depth, or ice water path (IWP; [19]).The higher the IWP is, the more depressed PCT at 85 GHz tends to be.

Spatial Distribution of 37-GHz and 85-GHz PCTs ICE Scattering Characteristics
In this section, we have compared results from both 37-and 85-GHz PCTs for a particular season and identify regions susceptible to convective storms by their 37-and 85-PCT values.Our examination of cases confirms that those most-intense pixels tend to occur roughly at the same location.In JJA as shown in Figure 6 and Figure 7, there is no indication of ice particle scattering signal from the 37-GHz frequency which is an indication that precipitation features in west Africa are without ice and are thus more generally produce warm rain but cold rain also are persistent in some areas.There are core areas with very low PCT values, as indicated by the arrows, for both 37-and 85-GHz frequency.These areas are     (South-Central Sahel) where there is strong indication of ice scattering signature and hence strong velocity updraft above the freezing level resulting in heavy rain or possibly storm cases, as will be shown in the next section.Surrounding regions marked with yellow label in that location and other similar locations, during JJA above and SON in Figure 8 and Figure 9, especially those represented by their 85-GHz frequency indicate a large ice water path because it is more sensitive to smaller ice particles than the 37-GHz.Low values at 37-GHz tend to indicate that the feature contains larger ice particles, [12].That is the basis for pointing the arrow at the same location at both frequencies (37-GHz and 85-GHz PCT) during JJA and SON.Other locations in SON which indicated large ice water path using the 85-GHz channel are not fully indicated by their 37-GHz channel that such locations contains large ice particles.

Radar Reflectivity Characteristics: Maximum Heights Attained by Echoes
The arrows, in Figures 10-13, pointed at an area in the Dry rainforest that could have    It is noteworthy and not surprising that so much of the area (land areas close to the ocean) experiencing rainfall (at least 20-dBZ radar reflectivity) has an 85-GHz PCT between 182 K and 250 K (yellow and blue contour in Figure 5).[16] reasoned that storms containing higher 30 dBZ heights likely contain more intense electric fields (and therefore more lightning), larger supercooled water and ice water contents; the second condition leading to lower 85-GHz PCTs.Following this reasoning and the conditions highlighted in [17] which was based on [18] and physical reasoning outlined in many other studies, we simply classify such land areas or locations as a high storm area especially the pointed domains.This is in conformity with the fact that the presence of AEJ    is just around the freezing level but these regions are experiencing cold (from Figure 6 and Figure 7)) and moderate rain as seen by the maximum height attained by their 30 dBZ reflectivity.Cold light rain or showers should be expected in north-east Sahel as  depicted by the maximum height attained by 15 dBZ reflectivity.The 15 dBZ reflectivity is below the minimum detectable signal (~17 dBZ) of the precipitation radar hence cannot be fully reliable.
There is always a similarity, in plot pattern, between regions associated with cold rain   In MAM, the situation is a little different especially with south Sudan savannah and south-east Sahel (Figure 27).They carry some percentage of convective intensity in their precipitation systems.In tropical continental convection, the probability of LIS-      During SON, as shown in Figure 29, all the regions have tendencies for lightning and thunderstorms activities.The AEJ, at this season, had its second appearance in the south whereas the northern Sahel regions are affected by the southward retreat of the ITD.Here, Nigeria/Cameroon rainforest (topmost curve) had about 95% of its 85-GHz PCT less than 250 K and about 70% of the same parameter less than 200 K. [20] indicated that 85-GHz PCT with 225 K guarantees the presence of convective elements, and 225 K is selected in this study as the threshold for ice scattering of convective cores.
[13] used criteria of the minimum 85-GHz PCT ≤ 175 K for intense convection.Similarly, features with minimum 85-GHz PCT ≤ 125 or 100 K is interpreted as extremely intense convection [12].Except for the three northern Sahel, all other regions have their median values less than 225 K for this season.Following [20] and Figure 8 and Figure 9 shown in previous section, there are indications of convective elements in the southern Sahel, savannah and rainforest while Nigeria/Cameroon rainforest with median value of at least 175 K indicated the presence of intense convection.

Conclusions
Distribution of convective intensities have been analysed over the West Africa sub-region, considering twelve (12) zones in the region.
The ice scattering and radar reflectivity characteristics together provided information about the convective vigour of hydrometeors.From the results, we have seen some selected locations inside Western-coast rainforest, Nigeria/Cameroon rainforest and south Sudan savannah having strong potential for convective storms as indicated by their low 37-GHz and 85-GHz PCT values and the maximum height attained by their 30 dbz and 40 dbz reflectivities been above the freezing level.
The 85-GHz PCTs were also used to determine the distribution of convective intensity across the twelve regions.It was observed that the percentage of convective intensity increases as the seasons and hence ITD advances north, during MAM and JJA, and retreat during SON.
. For example, Western Coast Rainforest (W Cst R_F) has seven boxes which spans from 4˚N to 12˚N along the west coastal areas of West Africa just below "SW Sahel".

An 11 -
yr (January 1998 through December 2008) radar precipitation feature database was developed by Liu and his colleagues in 2008.The database consists of simultaneous observations from the Precipitation Radar (PR), TRMM Microwave Imager (TMI), Visible and Infrared Sensor (VIRS) and Lightning Imaging Sensor (LIS) aboard the TRMM satellite.The precipitation features are basically contiguous areas of precipitation, with no upper limit imposed on their size.A single precipitation feature can be smaller than 100 km 2 or larger than 10,000 km 2 , containing many individual convective cells.A single precipitation feature could easily span a few of the boxes marked in Figure 1.The minimum 37-GHz and85-GHz PCTs is taken for the radar precipitation feature under investigation.The maximum height of a 15, 20, 30, or 40 dBZ radar echo is also taken for the radar precipitation feature.This study evaluates the TRMM Precipitation Feature (PF) level-3 data to analyze and generate Precipitation Characteristics over the West African Region, which includes the Rainforest, Savannah, and Sahel regions in West Africa.These climatic regions are further partitioned into smaller (micro) sub-regions from a general classification for the African continent, as shown in Figure 1.The analysed precipitation characteristics are grouped into the following categories: 1) Ice Scaterring Characteristics; and Thus, 85-GHz PCT is a good proxy indicator of convective intensity or lightning activity[13] [15] [17].The Cumulative Distribution Functions (CDF) of minimum 85 GHz Polarization Corrected Temperature (PCT) was computed for each of the 12 climate regions, and used to analyze the distributions of convective intensity of Radar Precipitation Features (RPF) inferred from the minimum 85 GHz PCT.

Figure 2 andFigure 2 .
Figure 2 and Figure 3 indicate that only the Western Coast rainforest has a substantial part of data.The 37-GHz PCT has values ranging from above 250 K whereas the 85-GHz PCT values are above 229 K for the same region.This region had shown strong tendency for high flash counts from previous study.The adjacent ocean has lower minimum PCT values at 85-GHz frequency, which is an indication of intense storm during DJF.Though large portion of the study regions are still without data, there are some areas adjacent to the ocean that can still be shown with data during MAM.During this season (MAM), as shown in Figure 4 and Figure 5, when thunderstorm and hence lightning activities are optimum as a result of the presence and influence of the AEJ, strong convective storms are already moving inland.This is shown by their minimum 85-GHz PCT having values below 225 K and in some rainforest areas the PCT values are below 190 K.The South Sudan Savannah (S_Sud_Sav) is a region dominated with light rain during MAM as indicated by their 37-and 85-GHz PCT values (>250 K

Figure 3 .
Figure 3. Showing spatial distribution of RPF with 85-GHz PCT ice scattering characteristics during DJF.

Figure 4 .
Figure 4. Showing spatial distribution of RPF with 37-GHz PCT ice scattering characteristics during MAM.

Figure 5 .
Figure 5. Showing spatial distribution of RPF with 85-GHz PCT ice scattering characteristics during MAM.

Figure 6 .
Figure 6.Showing spatial distribution of RPF with 37-GHz PCT ice scattering characteristics during JJA.

Figure 9 .
Figure 9. Showing spatial distribution of RPF with 85-GHz PCT ice scattering characteristics during SON.

Figure 10 .
Figure 10.Showing spatial distribution of maximum heights attained by RPF with 15 dBZ during DJF.

Figure 11 .
Figure 11.Showing spatial distribution of maximum heights attained by RPF with 20 dBZ during DJF.

Figure 12 .
Figure 12.Showing spatial distribution of maximum heights attained by RPF with 30 dBZ during DJF.

Figure 13 .
Figure 13.Showing spatial distribution of maximum heights attained by RPF with 40 dBZ during DJF.

Figure 14 .
Figure 14.Showing spatial distribution of maximum heights attained by RPF with 20 dBZ during MAM.

Figure 15 .
Figure 15.Showing spatial distribution of maximum heights attained by RPF with 20 dBZ during MAM.

Figure 16 .Figure 17 .
Figure 16.Showing spatial distribution of maximum heights attained by RPF with 30 dBZ during MAM.

Figure 18 .
Figure 18.Showing spatial distribution of maximum heights attained by RPF with 15dBZ during JJA.

Figure 19 .
Figure 19.Showing spatial distribution of maximum heights attained by RPF with 20 dBZ during JJA.

Figure 20 .
Figure 20.Showing spatial distribution of maximum heights attained by RPF with 30 dBZ during JJA.

Figure 21 .Figure 9 5 .
Figure 21.Showing spatial distribution of maximum heights attained by RPF with 40 dBZ during JJA.

Figure 22 .
Figure 22.Showing spatial distribution of maximum heights attained by RPF with 15 dBZ during SON.

Figure 23 .
Figure 23.Showing spatial distribution of maximum heights attained by RPF with 20 dBZ during SON.

Figure 24 .
Figure 24.Showing spatial distribution of maximum heights attained by RPF with 30 dBZ during SON.

Figure 25 .
Figure 25.Showing spatial distribution of maximum heights attained by RPF with 40 dBZ during SON.

Figure 28
Figure 28 is in agreement with the fact that the monsoon or moisture layer is very deep during this season (JJA).A very large percentage of the 85-GHz PCT is less than 250 K for all the regions except for north-east Sahel.The percentage of 85-GHz PCT that fell below 200 K and 150 K are good enough to bring deep convective systems in the affected regions.North-East Sahel agrees with what was observed in Figures 18-21, in the previous section.That is, NE Sahel is a rain-free or region dominated with very
tion and hence West African continental convection.None of the Sahel and south Sudan savannah has 85 GHz PCT less than 200 K but the south Sudan savannah and south-east Sahel have some percentage of convective properties.From the plot, it further revealed that Nigeria/Cameroon rainforest and dry rainforest had very similar curvilinear patterns and constitute over 60% of 85 GHz PCT < 250 K during this season.