INT. J. REMOTE SENSING, VOL. 25, NO. 10 FEBRUARY, 2004, 3, 573–592 Monitoring desertification and land degradation over sub-Saharan Africa E. SYMEONAKIS Departamento de Geografia, Universidad de Valencia, Avenida Blasco Ibáñez 28, Valencia 46010, Spain; e-mail: [email protected] and N. DRAKE Department of Geography, King’s College London, Strand, London WC2R 2LS, UK; e-mail: [email protected] (Received 25 March 2002; in final form 5 February 2003 ) Abstract. A desertification monitoring system is developed that uses four indicators derived using continental-scale remotely sensed data: vegetation cover, rain use efficiency (RUE), surface run-off and soil erosion. These indicators were calculated on a dekadal time step for 1996. Vegetation cover was estimated using the Normalized Difference Vegetation Index (NDVI). The estimation of RUE also employed NDVI and, in addition, rainfall derived from Meteosat cold cloud duration data. Surface run-off was modelled using the Soil Conservation Service (SCS) model parametrized using the rainfall estimates, vegetation cover, land cover, and digital soil maps. Soil erosion, one of the most indicative parameters of the desertification process, was estimated using a model parametrized by overland flow, vegetation cover, the digital soil maps and a digital elevation model (DEM). The four indicators were then combined to highlight the areas with the greatest degradation susceptibility. The system has potential for nearreal time monitoring and application of the methodology to the remote sensing data archives would allow both spatial and temporal trends in degradation to be determined. 1. Introduction Desertification has been seen as a major cause of problems in large parts of the African continent; however, there is a general lack of suitable monitoring methods. The United Nations Conference on Desertification (UNCOD) held in 1977 provided the first map of desertification hazard. A lack of data meant that the best that could be done was an ‘educated guess’ at the true extent of the problem (Thomas and Middleton 1994). Desertification hazard was assessed as moderate, high or very high through an evaluation of climatic conditions, the inherent vulnerability of the land and the pressure put upon it by human or animal action. The assessment was made by a limited number of consultants with experience in dry lands world-wide (Thomas and Middleton 1994). According to UNEP’s own words: ‘the map was based on existing geographical data which was not precise International Journal of Remote Sensing ISSN 0143-1161 print/ISSN 1366-5901 online # 2004 Taylor & Francis Ltd http://www.tandf.co.uk/journals DOI: 10.1080/0143116031000095998 574 E. Symeonakis and N. Drake enough to assist future action in planning and guiding anti-desertification activities either at a national or international level’ (UNEP 1990). This study promoted the recognition that there was a need for improved methods of mapping and monitoring desertification and for a better understanding of the processes involved. The flowchart in figure 1 shows the way natural processes – such as drought – and human activities – such as irrigation, arable agriculture, deforestation and Figure 1. The causes and development of desertification (modified from Kemp 1994). The light grey ellipses are those that involve vegetation cover reduction, while the dark grey ones involve soil erosion. Note that all processes involve vegetation cover changes and soil erosion. Monitoring desertification over sub-Saharan Africa 575 urbanization – initiate desertification. The complexity of the processes has so far precluded the development of a comprehensive model and methods of monitoring have involved the use of indicators in the attempt to assess and monitor desertification. Indicators usually describe one or more aspects of desertification and provide data on threshold levels, status and evolution of relevant physical, chemical, biological and anthropogenic processes. However, there is a clear distinction between the indicators that are useful to have and those which are practical to obtain (Warren and Khogali 1992). This is scale dependent as it is relatively simple to collect degradation data from individual fields but another matter to do so for whole regions, countries and continents. In the 1980s, the importance of using indicators to monitor desertification at local, regional and global scales was recognized by the Food and Agriculture Organisation (FAO) and by the United Nations Environment Programme (UNEP), who developed a Provisional Methodology for Assessment and Mapping of Desertification consisting of a total of 22 indicators (table 1). Grunblatt et al. (1992) evaluated the methodology at a regional scale through a pilot project carried out in the Lake Baringo district in Kenya. They attempted to map all 22 indicators using field methods and concluded that most of the indicators proposed by UNEP could only be used at the local scale, because the costs at the regional scale would be prohibitive and the process of data collection time-consuming. They concluded that the use of remotely sensed data was necessary to monitor desertification over large areas. Thus, remote sensing-derived indicators provide an attractive way to map and monitor the desertification processes. Though there has since been some notable studies that have developed methods for deriving individual indicators of desertification from remotely sensed data (e.g. Prince et al. 1998), studies that have used more than one indicator have tended to persevere with approaches based on field sampling and observation. For example, Sharma (1998) approached the problem by cutting down the number of indicators needed by only considering hydrological processes of desertification. He attempted to establish the severity of desertification through such hydrological indicators as ‘reduced area of water bodies’, ‘increased run-off’, ‘decreased infiltration’, ‘accelerated soil erosion and sedimentation’, and ‘deteriorated ground-water resources’ (table 1). Krugmann (1996) suggested a novel method of defining grassroots indicators of desertification that are simple and inexpensive and can be readily defined and implemented by the inhabitants of a region (table 1). These indicators are much less complex and demanding than those of FAO/UNEP but they are only applicable to local scales. Rubio and Bochet (1998) used an alternative approach to define desertification indicators for Europe. They identified a list of core indicators (table 1) from which study-specific indicators could be drawn according to a list of criteria, such as reliability, measurability, applicability, cost-effectiveness, interpretability. This framework can assist in the development of a desertification assessment and monitoring system but the indicators they developed were for European desertification problems and are not directly applicable to the problems found in sub-Saharan Africa. It is clear that a number of attempts have been made to use indicators in order to assess the magnitude of the desertification problem, and to provide a baseline for monitoring, but there is still a lack of a practical and comprehensive long-term measurement system applicable at a regional scale. Furthermore, it is evident that FAO/UNEP Indicators FOR STATUS OF D: Surface affected by soluble salts Rubio and Bochet (1998) Sharma (1998) PHYSICAL: SOIL e.g. run-off rate, soil loss rate, compaction, organic matter content, salinization, acidification Reduced area of water bodies Rainfall variability cover of perennial plants Percentage of optimum natural level of organic matter FOR RATE OF D: Increase in salt-affected area Amount of transported sand in m3a21 21 21 Soil loss in t ha a Soil salinization and alkalinization Water erosion areas Water erosion potential BIOLOGICAL: Vegetation degradation Range carrying capacity Desirable and undesirable plant species SOCIO-ECONOMIC: Growth rate of areas affected by wind erosion as percent Human settlements of the total productive land Land use Increase of areas where subsoil is exposed or of surface affected gullies Sediment deposits in dams Decline in percent of biomass Decrease in area of woodland Run-off Infiltration CLIMATE e.g. rainfall amount, intensity, frequency, variability, Soil erosion wind speed, temperature, Sedimentation evapo-transpiration Evapo-transpiration VEGETATION e.g. percentage cover, density, morphology, Sequential changes in root depth, richness, endemism, depth to groundwater growth rate, LAI Groundwater quality TOPOGRAPHY e.g. slope angle, length, shape, aspect SOCIO-ECONOMICS e.g. abandonment of land, conservation practices, risk of forest fire, unsuitable practices, emissions, human density Tripathy et al. (1996) Le Houerou (1984, 1989), Prince et al. (1998) SOIL VEGETATION – RAINFALL Soil erosion Water use efficiency~net primary productivity/ evapo-transpiration VEGETATION Soil moisture Albedo NDVI Rain use efficiency~net primary productivity/rain E. Symeonakis and N. Drake Appearance of sand sheets, hummocks, nebkas or dunes Wind deposition and deflection areas Affect on the surface by rain Wind erosion potential splash, rills and gullies Crusting and compaction Reduction of the canopy Exposure to crusting and compaction Indicators of desertification. Krugmann (1996) Aridity index 576 Table 1. Table 1. Krugmann (1996) Range cover and range condition trend line Rubio and Bochet (1998) Fuel wood consumption Nutritional status FOR INHERENT RISK OF D: Migration Number of dry months Environmental perception Average depth of groundwater table Salt content in irrigation water Physiography Drainage Soil management practices Potential soil loss FOR HAZARD OF D: Combined effect of interactions of status, rate, inherent risk, animal and population pressures Sharma (1998) Tripathy et al. (1996) Le Houerou (1984, 1989); Prince et al. (1998) Monitoring desertification over sub-Saharan Africa FAO/UNEP (Continued ). D, desertification. Adapted from Rubio and Bochet (1998). 577 578 E. Symeonakis and N. Drake long-term observations from space provide a practical way of implementing a regional monitoring system in order to derive broadly applicable and cost-effective indicators of desertification over large areas. Ideally such a monitoring system needs to provide a comprehensive set of indicators in order to allow evaluation of the numerous different processes that contribute to desertification. In order to provide a starting point, we have selected indicators that are of crucial importance in all aspects of desertification. Figure 1 shows that changes in vegetation cover characteristics and soil erosion are important indicators of desertification as they both result from all desertification processes. Thus, methods of estimating these two indicators were developed. Another two indicators, rain use efficiency (RUE) and surface run-off, have been estimated as they can be derived using the diverse array of data needed to estimate soil erosion, but also provide valuable insights into the status of desertification. In the future the aim is to add more indicators to the system. The indicators are tested over sub-Saharan Africa for 1996 on a ten-daily temporal and a 0.1‡ spatial resolution using remotely sensed data to derive parameters that change over short time-scales (i.e. rainfall, net primary production (NPP) and vegetation cover), and ancillary Geographical Information System (GIS) data for those parameters that can be considered invariant over the short term (i.e. soil properties, land use and slope). All four indicators are then combined in order to identify areas that are defined as suffering intense desertification by all four indicators. These areas are prime targets for field surveys in order to verify results and consider alleviation measures. 2. Implementation and evaluation of indicators The following sections introduce the potential of each indicator, provide an outline of how they were derived and assess their utility for regional land degradation monitoring. 2.1. Estimation of vegetation cover The flow diagram in figure 1 shows the control of vegetation cover on all the processes of erosion and desertification. It is, therefore, an important indicator that needs to be considered when attempting to measure the extent of desertification. Vegetation cover was estimated with the use of Advanced Very High Resolution Radiometer (AVHRR) Normalized Difference Vegetation Index (NDVI) data extracted from a continental database generated by the National Aeronautics and Space Administration (NASA) Global Inventory Monitoring and Modelling Studies (GIMMS) group (Los et al. 1994; http://edcintl.cr.usgs.gov/ftp2/ndvi). The raw NDVI data contained numerous blank areas where there was cloud cover for the whole of the ten-day period. The method of averaging (Gutman et al. 1994) was used to fill in the cloud-covered areas with the average values from the preceding and following dekads. A number of techniques have been used in the literature to determine vegetation cover from NDVI, such as the scaled NDVI or N*: NDVI{NDVI0 ð1Þ N ~ NDVIs {NDVI0 where NDVIs is the value of NDVI at 100% vegetation cover (N*~1.0) and NDVI0 Monitoring desertification over sub-Saharan Africa 579 is that value for bare soil (N*~0) (Choudhury et al. 1994, Carlson et al. 1995). Other authors have used a linear relationship between green vegetation cover (Vc) and NDVI by measuring vegetation cover in the field and comparing it to satellite NDVI measurements. For estimating vegetation cover, a regression relationship, calculated by Zhang (1999) using only the AVHRR-derived NDVI and the vegetation cover information, was applied in this research: Vc ~1:333z131:877 NDVI ð2Þ with fit statistics of R2~0.73, F~241.63 and p~4.26610227. Figure 2 shows the initial scaled NDVI image with the cloud contamination shown in white (figure 2(a)), the respective NDVI image with the clouds removed (figure 2(b)) and the percentage vegetation cover image (figure 2(c)) for the first dekad of March 1996. Although a useful indicator of desertification, estimates of vegetation cover should be treated with caution since it is not yet clear how best to exploit the information with regard to desertification. A reduction in vegetation cover alone does not necessarily indicate desertification since cover also fluctuates between and within years according to factors such as phenology, natural variations in rainfall and cropping that are unrelated to the desertification process. Rain use efficiency, Figure 2. An example of the processing of NDVI to vegetation cover for the 1st dekad of March 1996: (a) scaled NDVI image (0–255) with cloud cover; (b) scaled NDVI image (0–255) with cloud removed; (c) vegetation cover (%) image. 580 E. Symeonakis and N. Drake the indicator described in the next section, overcomes these problems as it combines information on vegetation productivity and the amount of rainfall received. 2.2. Rain use efficiency Rain use efficiency (RUE) is the ratio of NPP to precipitation. It is calculated on a yearly time-step and thus does not suffer from short-term fluctuations. RUE tends to decrease when aridity and potential evapotranspiration increase. However, all other conditions remaining equal it has also been shown that RUE is lower in degraded arid lands than in equivalent un-degraded areas (Le Houérou 1984, 1989, Tyson 1996). Thus, negative deviations from the conservative value of RUE have the potential to provide a useful index of desertification independent of the rainfall (Prince et al. 1998). The indicator is an attractive one as desertification is a phenomenon with a time-scale longer than a year, yet precipitation and NPP in semi-arid and arid areas typically vary strongly both within and between years. Since in these areas NPP is usually more strongly affected by rainfall than any other factor, including degradation, NPP values alone may not serve as an indicator of desertification without taking the rainfall into account (Prince et al. 1998). Hence, RUE is a useful indicator of degradation because it relates an important aspect of the function of arid lands (NPP) to the principal controlling factor. To derive estimates of NPP the NDVI dekadal archive, described in § 2.1, was used to derive the annual integral of NDVI for 1996 (figure 3(a)). NPP was then calculated using a simple regression model calibrated by Prince et al. (1998) with data for peak, above-ground, standing crop measured in field sites in Sénégal, Mali and Niger between 1984 and 1988: X NDVI{3:852 ð3Þ NPP Mg ha{1 a{1 ~3:139 n~239, r~0.684, pv0.001 RUE (figure 3(d )) was derived by dividing NPP (figure 3(b)) by rainfall (figure 3(c)). Rainfall was provided by the United States Agency for International Development (USAID), Famine Early Warning System (FEWS) (Herman et al. 1997; http://edcintl.cr.usgs.gov/adds/adds.html). To estimate rainfall, FEWS uses a preliminary estimate of precipitation based on the Geostationary Operational Environmental Satellite (GOES) Precipitation Index (GPI) (Arkin and Meisner 1987). The GPI uses the duration of cold cloud tops over a region for the determination of precipitation by assigning 3 mm of precipitation for each hour that cloud top temperatures are measured to be less than 235K. The GPI estimate is corrected using Global Telecommunications System (GTS) rain gauge data thus producing an estimate of convective precipitation. For the regions over which precipitation is due to orographic lifting and the clouds are relatively warm the rainfall rate is estimated using a process which combines the relative humidity, wind direction and the terrain slope. Wind vectors and relative humidity from the analyses of the 1‡ horizontal resolution Environmental Modelling Centre (EMC) Global Data Assimilation System (GDAS). Therefore, the FEWS technique incorporates rainfall from both the convective and stratiform cloud types, producing a final estimate of total precipitation (Herman et al. 1997). As anticipated, there appears to be a strong relationship between average annual rainfall (figure 3(c)) and NPP throughout sub-Saharan Africa: areas that received the highest amounts of rainfall also scored the highest figures of NPP Monitoring desertification over sub-Saharan Africa (a) 581 (b) (c) (d ) Figure 3. Flow diagram illustrating the calculation of rain use efficiency (RUE) with the different parameter maps inset: (a) mean annual NDVI; (b) net primary production (kg mm21); (c) precipitation (mm); and (d ) RUE (kg DM ha21 mm21, where DM is dry matter) for 1996. 582 E. Symeonakis and N. Drake and vice versa. The majority of the estimated RUE values in figure 3(d ) are between 1 kg of dry matter (DM) ha21 a21 mm21 and 8 kg of dry matter ha21 a21 mm21 but there seems to be a trend towards higher RUE in very dry areas of Mali, Chad, Sudan, Namibia and Somalia. The white ‘no data’ area on the border between Chad and Sudan in figure 3(d ) is the outcome of the division of NPP values (figure 3(b)) with zero precipitation (figure 3(c)). This may be due to technical problems with the use of NDVI as it can overestimate very low productivities. In general, though, the results are in good agreement with measurements from field plots in various African locations (table 2), according to which RUE values Table 2. Location Annual rainfall, annual primary above-ground production and RUE in some arid and semi-arid areas of Africa. Type of study Senegal E Senegal E Senegal E South Africa S Senegal – Chad E/S Chad E/S Chad E/S Chad E/S Upper Volta, E Sahel Tanzania, E Serengeti Mali, E South Sahel Mali, E South Sahel Mali, E South Sahel Mali, E South Sahel Sudano-Sahelian E/S/Sy zone Sudano-Sahelian E/S/Sy zone Senegal E Tanzania E E South Africa, Pretoria Kenya E/S Zimbabwe, E Matopo Tanzania, – Serengeti Sahel Estim. Mean annual primary production RUE (kg DM ha21 a21) (kg DM ha21 a21 mm21) Duration of years Mean annual rainfall (mm) 7 7 7 Lt – – – – – 4 247 247 247 250 300 320 320 320 320 369 573 1677 2902 1200 420 420 1200 1380 3180 955 2.32 6.79 22.75 4.80 1.40 1.31 3.75 4.31 9.94 2.59 2 400 1600 4.00 4 449 1875 4.18 4 449 1975 4.40 4 449 5000 11.13 4 449 11000 24.49 20 500 1350 2.70 20 500 18000 3.70 10 2 – 500 600 607 1650 7000 900 3.30 11.62 1.48 6 – 628 650 3096 1380 3.0–9.6 2.12 – 700 5220 7.45 9 100–800 NPP: 60–3500 0–10 E, experimental, S, survey, Lt, long-term survey, Sy, synthesis. After Le Houérou (1984). Monitoring desertification over sub-Saharan Africa 583 are usually of the order of 1.7–8.0 kg DM ha21 a21 mm21 in 350 mm annual mean rainfall zone, 1.0–4.0 kg DM ha21 a21 mm21 in the transition between the Sahara and the Sahel and 1.6–6.0 kg DM ha21 a21 mm21 in the Sudano-Sahelian transition (Le Houérou 1989). The biological limit is probably reached with RUE of about 30.0 as suggested from small plot experiments under ideal conditions of seasonal rain distribution and soil fertility (Van Keulen 1975). In general, the RUE values of this research for 1996 seem to be slightly lower than those reported by Prince et al. (1998) who estimated RUE over the Sahel from 1982 to 1990 using rain gauge measurements and satellite NDVI data. This reduction could indicate desertification; however, it has to be stressed that it might simply be due to the fact that two methodologies utilize different precipitation data. Prince et al. (1998) used rain gauges while we used satellite estimates. The latter data are not flawless, underestimating the higher and overestimating the lower values (Symeonakis 2001, Symeonakis et al. 2000). Nevertheless, this study provides a method of calculating RUE that can be readily implemented on an operational basis using the seven-year long archive of the FEWS ten-daily precipitation estimates and the 19-year long dekadal NDVI archive of GIMMS. In addition, the methodology presented here produces RUE estimates for the entire sub-Saharan Africa and with a much finer spatial resolution (0.1‡) than the Prince et al. (1998) methodology, which produces results for a limited number of pixels and with a resolution of 0.5‡. 2.3. Overland flow There is a well-established tendency for water run-off to increase with land degradation. Overgrazing, for example, leads to trampling and compaction of the soil which reduces the infiltration and thus increases the amount of water that leaves as run-off. Deforestation also leads to increased overland flow since it removes the vegetation which probably affects rates of run-off more than any other single factor. The rate of run-off is therefore a useful indicator of the desertification process and was estimated in the present study with the use of the Soil Conservation Service (SCS) model. The Soil Conservation Service (1972) developed a simple empirical method known as the SCS Run-off Curve Number model for computing abstractions from storm rainfall. The model was developed by studying overland flow in many small experimental watersheds and it is one of the most widely used methods to compute run-off. The basis of the model is that the ratio of overland flow (OF) to effective storm rainfall (Pe~P2Ia, where P is rainfall and Ia is initial abstraction) is equal to Fa/S where Fa is the water retained in the watershed and S the potential retention (SCS 1972). The model is expressed by the following equation: . ð4Þ OFp ~ðPi {Ia Þ2 ðPi z0:8S Þ where OFp is overland flow in a rainfall event, Pi the rainfall, Ia the initial abstraction (Ia~0.2S), and S the potential retention. In order to make the SCS model easier to apply, the Soil Conservation Service expressed the potential retention, S, in the form of a dimensionless run-off curve number (CN), which can be extracted from published tables and is dependent on factors such as land cover and soil texture and, for some land cover types, the percentage vegetation cover 584 E. Symeonakis and N. Drake (Pilgrim and Cordery 1993, Rawls et al. 1993). CN and S are related by: S~ð25400=CN Þ{254ðmmÞ ð5Þ The International Geosphere Biosphere Project (IGBP) Land Cover Data Base, available for free on the Internet at http://edcwww.cr.usgs.gov/landdaac/glcc/ tablambert_af.html, was used to extract the necessary land cover information and the soil textural data of the FAO Soil Map of the World (FAO 1995) was used to create the map of the SCS soil groups. Vegetation cover was estimated as described in § 2.1 and FEWS rainfall data were used to parametrize the model (§ 2.2). However, as the SCS is an event-based model it needs to be modified before it can be applied to estimate dekadal run-off. Zhang (1999) developed such a modification. If it is assumed that the daily rainfall amounts approximate an exponential frequency distribution within each dekad, then Ji, the rain day frequency density, is: n {rri ð6Þ e o Ji ~ ro where n is the number of rain days per dekad, ro is the mean rain intensity per rain day (mm day21), and ri is the daily rainfall (mm). The rainfall distribution per dekad in equation (6) was used to adjust the SCS model. Therefore the dekadal overland flow can be described as (Zhang 1999): ? ð ð7Þ OFi ~ OFp Ji dr Ia where OFp is the overland flow in a rainfall event, and OFi is dekadal overland flow. The OFi can be calculated using an approximate method, that is: X DrOFp Ji ð8Þ OFi ~ where Dr~ðrimax {Ia Þ=n, ri~IaziDr and supposing rimax ~250 mm per rain day as a basic simplification. This extension to the SCS model was used in this research to estimate overland flow on a dekadal time stop over sub-Saharan Africa. The number of rain days per dekad in equation (6) was estimated by applying indicator kriging to daily GTS rain gauge data from 527 sub-Saharan stations (Symeonakis 2001, Symeonakis et al. 2000). The output of indicator kriging is a field valued between 0 and 1, which can be interpreted as the probability of an (x, y) location being wet. For each dekad and for every location (x, y), the algebraic sum of the daily outputs of indicator kriging is the sum of the thresholded daily probabilities (0ƒpƒ1) of that location being wet. Therefore, this dekadal sum is valued from 0 to 10 and can be interpreted as the number of rain days per dekad. Figure 4(a) shows the mean annual overland flow estimated by summing the dekadal estimates of the extension of the SCS model. Although overland flow estimates can be useful to study the potential for land degradation they need to be interpreted with caution as not all areas that produce high amounts of run-off are degrading, some are simply receiving very large amounts of rainfall. Thus the run-off coefficient, computed by dividing the amount of run-off by the amount of rainfall, might be a more useful indicator of degradation (figure 4(b)). Areas with higher coefficients are more likely to be degrading than those with low values as they are producing more run-off per unit Monitoring desertification over sub-Saharan Africa 585 Figure 4. Maps of yearly overland flow and run-off coefficient. (a) Overland flow (mm) produced by summing the dekadal estimates of the extended SCS model. (b) Run-off coefficient. Note that the encircled area in northern Sudan appears to have very high run-off coefficient values in (b), but relatively low overland flow values in (a), and can be considered prone to degradation. of rainfall. For example the encircled area in northern Sudan in figure 4(b) appears to have very high run-off coefficient values but has relatively low overland flow values (figure 4(a)) and thus can be considered prone to degradation. In contrast, 586 E. Symeonakis and N. Drake Madagascar which appears to have high overland flow rates (figure 4(a)) has relatively low run-off coefficient values (figure 4(b)). 2.4. Soil erosion Figure 1 clearly depicts the importance of soil erosion in desertification since it appears to be the end result of all desertification processes. Drought, natural or human-induced reduction in vegetation cover, poor agricultural practices leading to soil aggregate breakdown and soil organic matter losses, poor irrigation practices leading to salinization, all lead to an increase in soil erosion rates and, ultimately, desertification. Erosion, therefore, seems to be the single most important indicator of the desertification process. It was estimated on a ten-daily time step with the use of the Thornes model (Thornes 1985, 1990) – a simple model that combines sediment detachment and vegetation protection in the following equation: E~kOF 2 s1:66 e{0:07Vc ð9Þ where E is erosion (mm), k is the soil erodibility coefficient, OF is the overland flow (mm), s is the slope (%), and Vc is the vegetation cover (%). The methodologies for the estimation of OF, and Vc have been described in § 2.3 and § 2.1 above. For calculating slope the GTOPO30 global DEM was used. GTPO30 is freely available at http://edcwww.cr.usgs.gov/landdaac/gtopo30/gtopo30.html, and has a horizontal grid spacing of approximately 1 km at the Equator. Recently, attention has been devoted to examining the scaling of slope in global DEMs as it can seriously affect the accuracy of erosion models at coarse scales (Drake et al. 1999). Zhang et al. (1999) compared the slopes derived from DEMs at various scales, revealed a relationship between slope and topographic fractal properties and developed a method of estimating high resolution slopes from coarse-scale DEMs by using fractal parameters. This method was used to estimate a 30 m resolution slope map from the 30 arc seconds DEM. The soil erodibility factor k is a quantitative description of the inherent erodibility of a particular soil. It is controlled primarily by soil texture and soil organic matter content and, to a lesser extent, by structure and permeability. The FAO Soil Map of the World (FAO 1995) and the table developed by Mitchell and Bubenzer (1980, table 3) which provides values of k for different soil textural classes and percentages of organic matter content, were used in this study for the estimation of k. The Thornes model was run for the 36 dekads of 1996. In order to compare the soil erosion rates in different environments we computed the yearly sum of erosion (figure 5). It appears that soil erosion is most serious in the humid subtropics, tropical Savannah and semi-arid environments. The erosion rate is relatively low in the tropical rainforests and in arid areas due to the high vegetation cover in the former and little to no rainfall in the latter. It is possible to gain some insight into those factors that are causing high erosion by comparing the time series of erosion to that of other model parameters at specific locations. For example, in central Eritrea (figure 6(a) and (b)), at the beginning of the wet season, vegetation cover is low (3%) and thus a relatively small amount of rainfall (70 mm) is enough to cause the highest rates of erosion for the year (16 mm). Two months later, in July, the same amount of precipitation leads to less overland flow and erosion (5 mm and 9 mm) due to the doubling of the vegetation Monitoring desertification over sub-Saharan Africa Table 3. Textural class Soil erodibility coefficient (k) values. 0.875v%OM Sand Loamy sand Sandy loam Loam Silt loam Silt Sandy clay loam Clay loam Sandy clay Silty clay Clay 587 0.875v~ OMv1.625 1.625v~ OMv2.5 2.5v~ OMv3.5 OMw~3.5 0.04 0.11 0.255 0.36 0.45 0.56 0.26 0.27 0.28 0.24 0.17 0.03 0.1 0.24 0.34 0.42 0.52 0.25 0.25 0.13 0.23 0.21 0.025 0.09 0.215 0.315 0.375 0.47 0.23 0.23 0.125 0.21 0.25 0.02 0.08 0.19 0.29 0.33 0.42 0.21 0.21 0.12 0.19 0.29 0.05 0.12 0.27 0.38 0.48 0.6 0.14 0.25 0.13 OM, organic matter. After Mitchell and Bubenzer (1980). Figure 5. Annual erosion (mm) for 1996 computed by summing the dekadal maps. cover in this period (6%). In the semi-arid area of Gonder in the Ethiopian highlands (figures 6(c) and (d )), erosion closely follows the time series of precipitation and overland flow, reaching a maximum in August when precipitation is at its highest (mean of 280 mm) and there is a dip in vegetation cover (30%), probably due to agricultural practices such as harvesting. 588 E. Symeonakis and N. Drake (a) (b) (c) (d ) Figure 6. Monthly variation of precipitation (mm/10), vegetation cover (%), overland flow (mm) and erosion (mm) in an area in Eritrea and in Gonder: (a, c) maximum values; (b, d ) mean values. (‘FEWS’ is the Famine Early Warning System precipitation estimate and ‘eros’ the erosion estimate). 3. Combination of indicators Although each individual indicator is helpful in describing an aspect of desertification, it is useful to combine the results of vegetation cover, rain use efficiency, the run-off coefficient and erosion, to determine which areas appear to be suffering from land degradation for all indicators. For example, by performing a Boolean combination of the 20% of the most highly eroded areas, the 20% of pixels with lowest vegetation, the 20% with the highest run-off coefficient and the lowest RUE values, the areas with the greatest degradation potential can be highlighted. Figure 7(a) shows this for the entire sub-Saharan Africa whereas figures 7(b)–( f ) show some examples from arid and semi-arid areas (Eritrea, Ethiopia, Kenya, Namibia, Somalia, South Africa and Sudan) but also from wet tropical areas (D. R. Congo, Rwanda and Burundi) that potentially need to be targeted for desertification and land degradation respectively. These results show localized land degradation and do not support the ‘marching desert’ approach whereby desertification is the expansion that occurs along a defined front. The concept of deserts progressively moving over productive land in the form of a readily measurable front of mobile sand dunes has, in recent years, been increasingly criticized (Warren and Agnew 1987, Binns 1990, Hellden 1991, Pearce 1992, Thomas 1997). Our results support this criticism. Like Goudie (1996) we find that desertification is more like a ‘sporadic rash than an advancing tide’. Monitoring desertification over sub-Saharan Africa 589 Figure 7. Areas with the highest erosion and run-off coefficient and lowest RUE and vegetation cover that could be targeted for land desertification/degradation monitoring: (a) sub-Saharan Africa, (b) Kenya, (c) Sudan, (d ) D. R. Congo, Rwanda and Burundi, (e) South Africa and Namibia and ( f ) Ethiopia, Eritrea and Somalia. 4. Conclusions With the increase in the complexity of human impacts on the environment, in the number of stressors and in the importance of cumulative impacts, there is a need to improve monitoring and evaluation methodologies ‘with a view to more 590 E. Symeonakis and N. Drake efficient environmental management strategies’ (Rubio and Bochet 1998). It is unlikely that there is one single index or variable which can represent the complex process of desertification (Sanders 1992). We have developed methods of implementing four important indicators of desertification and land degradation at a region scale. By combining these estimates of vegetation cover, RUE, run-off and soil erosion we have defined areas that all indicators suggest are suffering the detrimental effects of land degradation and desertification. These areas are considered to be prime targets for desertification that warrant further study. Desertification indicators, however, are dynamic at time-scales longer than a year. Thus, to use the methods of this study to identify progressive desertification and land degradation, a longer record needs to be examined. All the data needed to implement the monitoring system are readily available on the internet in near-real time. Thus, it would be relatively simple to establish monitoring systems of desertification and land degradation in sub-Saharan Africa that could keep abreast of the situation and gradually build up a time series of data that would allow the analysis of temporal trends in desertification. Alternatively, use of online archives would allow examination of inter-annual variability of these factors for the last six years. Another area ripe for further research would be to develop and implement more indicators of desertification in order to provide a more comprehensive picture of this complex phenomenon. One important area that needs to be improved is soil erosion as we need to consider the effects of wind as well as water. 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