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Strongly interested by the implementation of GIS solutions in respect of developping contries issues, I conducted this project as part of my MSc thesis in Geographical Information Management.

I developped in 4 months this application for Action Against Hunger, Paris in 2001, with the support of Dr Christophe Sannier (Cranfield Uni.).

Drought Monitoring using Remote Sensing
Completed a GIS project to monitor and evaluate the severity of the Afghanistan drought (1999-2001) at the national level, using the Vegetation Probability Indicator (VPI).
This project is an application of Remote sensing to disaster Management.

Data type :NOAA Pathfinder AVHRR Land time-series data available for from Goddard DAAC archives.
Software : ERDAS Imagine, Virtual GIS, MS Excel
Skills : Remote sensing interpretation and analysis, batch processing, data conversion.

Output : MSc thesis, "Monitoring drought in Afghanistan using the Vegetation Productivity Index (VPI), an application of Remote Sensing to Disaster Management", by Stéphane Guéritte, MScThesis, Cranfield University Librairy, Silsoe, UK. (a digest version available further down).

3D ndvi image of Afghanistan,
may 2001
"Monitoring drought in Afghanistan using the Vegetation Productivity Index
an application of Remote Sensing to Disaster Management"

Abstract

During the regional drought that affected Afghanistan and other countries in Central Asia, Action Against Hunger (AAH) a Non Governmental Organisation (NGO) was willing to evaluate the Vegetation Productivity Indicator (VPI) developed by Sannier et al. (1998), as a tool to monitor the Afghan drought at the national and regional level where Action Against Hunger operates.

The data used in the project were AVHRR NDVI 10-days composite Global Area Coverage (GAC) over 20 years (from 1981-2001). Because of the semi-arid climate and highly mountainous environment, AVHRR data revelled to be not detailed enough to differentiate the land cover successfully. Nonetheless, VPI maps were produced for decade corresponding to the vegetation peak in Hazarajat region.

Seasonal vegetation maps succeeded to identify the extent and severity of the drought though quantitative estimation was impossible as environmental data on Afghanistan is very limited. Therefore, seasonal vegetation maps for 1999 2000 and 2001 were validated based on circumstantial evidence with maps and documents provided by AAH and other organisations.

Some recommendations regarding the stratification approach and possible area of research in respect to disaster management are suggested (estimation of food deficit, and runoff forecast).

- MSc thesis digest -
the content of this page is a concised and reformated version of the original thesis document.

Background

Situation in Afghanistan / After 2 decades of war, Afghanistan is in the third year of a sustained drought, which is threatening the country with severe food shortages. Experts from the UN's Food and Agriculture Organization (FAO), and World Food Program (WFP) found that Afghanistan faces a much more serious food crisis this year than last year, as the now three-year-old drought continues. Afghanistan's own rain-fed crops have failed to develop for two consecutive years, and lighter-than-normal snowfall in 2001 means that snow-melt that feeds rivers and irrigation channels will be lacking again this year (WFP, 2001).

Action Against Hunger and Cranfield University / Action Against Hunger (AAH) is based in Afghanistan for many years. Due to the drought, AAH is managing some operations in the central region of Hazarajat heavily stricken by the drought.
The growing interest among relief organisations in the use of Remote Sensing applied to disaster management gave me the opportunity to contact Action Against Hunger to define this project. AAH had some previous experience in geomatics and was willing to evaluate - with the technical expertise of Cranfield University - remote-sensing capabilities to improve the understanding of the Afghan crisis.

Aim of the study
To develop an approach to monitor the Afghan drought at the national and regional level in Hazarajat region, where Action Against Hunger is operating. That region is delimited by the cities of Punjab, Shahristan, and Khadir, roughly at a 100-km distance from one another.

Objective of the study
To characterise the degree of severity and the geographical extent of the drought.
The Vegetation Productivity Indicator (VPI) developed by C. Sannier et al. (2000) is inspired by statistical methods used in hydrology for the characterisation of extreme events. This method has been successfully applied for similar purposes: monitoring biomass and evaluating pasture yield in Namibia (Sannier et al., 1998), estimating drought risk in Ethiopia (Tamene, 1996) and Zambia and other similar studies in Botswana and Jordan.

Therefore VPI is believed to be of potential use to monitor the severity and extent of the Afghan drought. Should promising results be exploited through maps and graphs that will allow untrained users to assess the extent and degree of severity of the drought.

1. Literature review
1.1. Land cover reflectance & Vegetation indices

2. Methodology
Figure 1: VPI project flowchart

2.1. Data overview

2.1.1.    10-day composite NDVI
10-day Maximum Value Composite (MVC) Normalised Difference Vegetation Index (NDVI) data and Elevation. The MVC NDVI spatial resolution is 8 x 8 km covering the area of Afghanistan and its immediate surrounding countries. The temporal resolution is 20 years, from the 1st decade of July 1981 to 1st decade of July 2001, which represents 720 images (36 decades per year for 20 years). The data set is mapped using the Goode Interrupted Homolosine Projection.
The data were extracted from archives produced as part of the NOAA Pathfinder AVHRR Land (PAL) Program. Data is available free of the Internet at the Goddard Space Flight Centre Earth Sciences webs
ite.

2.1.2.    Afghanistan national and regional boundaries
A vector file containing the administrative boundaries of Afghanistan, was extracted from ESRI Data & Maps CD-Rom.(Arcworld, 1993). The vector file was converted from Robinson projection into Goode Homolosine projection in order to have a clean overlay of the boundaries on the NDVI images.

2.1.3.    Global land cover classified image
Global land cover classified image at 8km spatial resolution, produced by the Laboratory of Remote Sensing, University of Maryland, USA - website: http://glcf.umiacs.umd.edu/index.shtml) to help the identification of Afghanistan main land covers due to the lack of precise surrogate data.

2.1.4 Elevation data
-The NOAA PAL archives contain elevation, latitude, longitude values and a land/sea mask for the area of interest. They were used later to geo-reference the NDVI images, to localise AAH working area, and to produce a land mask for areas above 3000 m (further information in section 2.7.2).

2.1.5 Ancillary data from FAO and AAH
Reports from FAO and Action Against Hunger, Global Information and Early Warning System on Food and Agriculture reports, USAID-OFDA drought map, Afghanistan biodiversity profile (ICOMOG, 1995).

2.2.   Sorting data

2.3.   Import images and ancillary files

2.4.   Converting digital number (DN) into geophysical values

2.5.   Image quality control
A visual assessment was conducted to evaluate the quality of the data. Some images presented some defects such as random noise, or stripes with extremely high or low data values. Several approaches were developed to remove damaged data as damaged images would alter the calculations of mean images. The most efficient approach was to detect odd pixel by comparing its DN values with its surrounding median value using a 3x3 kernel. If the difference was above a given threshold, that pixel was identified as “noise”, and removed from the image. When the damages were too important, the images were excluded, and replaced by blank images. According to that technique, 8 “damaged” images out of the 720 were replaced with blank images.

2.6.   Creation of historical decade image
720-decade AVHRR images were imported in ERDAS Imagine as a single file: (168 x 246 pixel, 720 Bands). From those 720 "bands", an historical image was produced. It represents the average vegetation status in Afghanistan over 20 years, where the DN value of a given pixel represents the mean DN value for that pixel over the 720 bands.

2.7.   Stratification of historical decade image

2.7.1 Stratification using ISODATA algorithm
The VPI approach relies on the correlation between the vegetation status and the statistical distribution of the NDVI. Such correlation could be performed on a pixel by basis. But according to the procedure developed by Sannier et al. (2000), it is better to stratified the study area into zones of homogenous NDVI value as it drastically reduces the amount of processing.

2.7.2 Land mask for area above 3000 m
To avoid misinterpretation of the data, a land mask was created to remove NDVI value localised beyond a threshold of 3000m. According to FAO, AAH reports and personal communication, agriculture is scarce at such altitude. Beyond 3000 m, it is assumed that agriculture is not successfully performed, only extensive grazing is likely. Actually, the threshold was set at 3100m to take in consideration the 100m error of the digital elevation model (DEM).

2.7.3 Maximum likelihood classification
Then, based on the signatures obtained with the ISODATA (Iterative Self-Organising Data Analysis Technique) algorithm, a supervised classification of the historical image was performed using Maximum Likelihood algorithm and a threshold of 95% probability of belonging to a class so that only the purest pixels will be classified into a class.

2.8. Extraction of mean NDVI value for each vegetation class and decade
Using the stratified historical image and the NDVI time series data, the mean NDVI value was calculated for each 9-stratum of each 720-decade. Zeroes were excluded from the calculation of the mean. Then, the mean NDVI time-series for each 9 stratum was imported into a spreadsheet (9 classes [column] by 720-decade mean values [rows]) to calculate the probability distribution of the NDVI from the historical data.

2.9. Calculation of Probability Distribution of NDVI
Based on the offset and gain coefficients given with the MVC NDVI data, time-series NDVI values were calculated.
The probability distribution of NDVI was calculated for each decade according to the methodology used for assessing the probability of extreme hydrological events (Linsley et al. 1975). In hydrology, the aim is often to extrapolate the distribution in order to predict the size of events that have very low return periods.
In our case, for each decade and stratum, the NDVI values were ranked from highest to lowest. Using the formula defined by Weibull (1939 : A statistical Theory of the Strength of Materials, Ing. Vetenskapsakad. Handl. (Stockh.) , 151, 15): where m is the rank in order of magnitude, and n is the number of years (i.e. 20 years), the probability (p) of having an NDVI less or equal to a given value was defined. This can also be expressed as a return period, (t=1/p), which is the average number of years between occurrences of the event (Linsley et al. 1975). Then the quintile ranges of NDVI for each vegetation class and each decade were calculated to define the five VPI classes as described in figure 2.

VPI class Probability level Return period (years)
Very low p<0.2 Tr > 5
Low 0.2<p<0.4 2.5 < Tr < 5
Average 0.4<p<0.6 Tr < 2.5
High 0.6<p<0.8 2.5 < Tr <5
Very high p>0.8 Tr < 5
Figure 2 : Description of VPI classes in relation to probability and return periods

2.10. VPI maps production
The vegetation status maps produced for the peak growing season of each class, should demonstrate the spatial and temporal distribution of vegetation in Afghanistan (Sannier et al., 1998).
For a given decade, the vegetation status of given pixel was assigned depending on the class it belongs to (i.e. 1 to 9) and the VPI quintile range defined for that specific class. Vegetation status maps were produced for 9 consecutive decades (from March to May 1993, 1999, 2000, and 2001) according the class probability distribution and the growing season of each class.

3.  Result and Critical discussion
3.1. Analysis of the historical image stratification
In order to find the best stratification, different classifications of the historical decade image using ISODATA algorithm were performed. Each trial was assessed by visual assessment of cluster’s statistical distribution, and by visual comparison with the Global Land cover image produced by the University of Maryland (link) and Afghanistan biodiversity profile (ICOMOG, 1995).
A range of 4 to 16 strata classification was tested, with no significant improvement in term of classification accuracy and, class separability. The statistical distribution of the clusters was checked to ensure that it was unimodal. Consequently, a 9-class stratification was arbitrary chosen, admitting the fact that the 9th class statistical distribution was multimodal due to spectral confusion. Nonetheless, the 9-class stratification remained as such, as that class is mostly outside Afghanistan (i.e. Pakistan). Because of the coarse resolution of the image, clear differentiation within the strata was difficult, and spectral confusion within class 9 was inevitable.
Figure 3 presents the historical image stratified into 9 classes. The elevation mask (black) covers altitude above 3000 m.

The hypothesis whether there is a correlation between the strata and the elevation was rejected. When we plotted NDVI values for each class of the stratified image against their respective elevation values and performed a linear regression analysis, a poor correlation was noted for all strata (on average R2< 5%).
It is commonly assumed that boundaries between areas of different types of natural vegetation correspond to climatic discontinuities (Norwine and Greegor, 1983). Therefore we can expect that the ISODATA stratification set 9 bio-climatic areas based on different rainfall range. Indeed, various studies have shown there is a strong relation between the NDVI and rainfall in semi-arid environments (Hess et al. 1996, Di et al.1994, Bonifacio et al. 1993, Davenport and Nicholson 1993, Justice et al. 1991b).
However, ISODATA stratification provides zones where the response of vegetation is homogenous, as required for the VPI.
Historical NDVI image classified with ISODATA alg.
Key :
Image key
Figure:3 Historical NDVI image classified into 9 strata with ISODATA algorithm. ( click on image to enlarge : 230 Ko)

3.2.   Annual Variation of NDVI profile
The average NDVI value for each decade and each stratum was plotted in figure 4. It shows the variation of the vegetation response to the sensor through the year. The NDVI ranges between –0.05 and 0.43, which confirms the general low level of vegetation cover in Afghanistan. Indeed, Afghanistan is essentially semi-arid to desert, with less than 10% of the total land area for crop, and most of the rest is extensive grazing, desert or high mountain and permanent ice (Thieme O. & Suttie J.M., 1996).

Figure 4 reflects seasonal “green-up” in springtime from March to April, and drop in NDVI response in autumn from September to December.
The graph confirm the presence of Desert for Class 1 & 2, as NDVI does not vary throughout the year because of extreme arid conditions (ICOMOG, 1995).
Class 5, 6, 7, 8 tend to flatten and fall by the end of May. This is could be taken as an indication of grass steppe vegetation as “it quickly dries up in May after having covered 90% of the surface” (ICOMOG, 1995).
Class 9 represents a mixture of dense vegetation (forest, woodland, cropland) (De Fries, 1998 and ICOMOG, 1995). Its NDVI variation clearly defines 2 specific picks of vegetation, one in March and the second in September. Class 9 is mainly present in the southeastern subtropical area, over Pakistan. According to ICOMOG (1995) we can assume that the September NDVI peak for class 9, results from the influence of Indian Monsoon.

Figure 4 : Average profiles for 9 land cover types in Afghanistan region over a 20-year period, from NOAA GAC NDVI archive.
3.3.   Analysis of probability distribution of NDVI
The quintile ranges of NDVI were plot for each class against time. The resulting time series was smoothed using a three-term moving average to reduce temporal noise.
The figure 5 shows how the VPI thresholds vary through the year for the main classes in Afghanistan: class 3, class 4, class 6, and class 8. Indeed, we see that for. a given decade and NDVI, the VPI category would vary depending on the class. a "normal" years.
VPI /
the VPI indicates for each decade, the qualitative status of the biomass as being “very low”, “low”, “average”, “high” and “very high” than “normal” based on 20 years of NDVI data.
Figure 5 : Seasonal variations of Vegetation Productivity Indicator classes for the most common classes in Afghanistan: (class 3, 4, 6 and 8).
In Figure 6, we plotted average NDVI for 4 remarkable years over the different VPI : 1993 for its high NDVI value comparing with the last 20 years;1996 a year classified as “normal” in term of precipitation and crop production (WFP, 2001), 2000 and 2001 2 years affected by the drought.

1996 trend-line tends to remain in the “average” class of the Vegetation Productivity Indicator, whereas 1993 mainly belongs to the “very high” productivity class. 2000 and 2001 are clearly belonging to the “very low” productivity class, which can be caused by the effect of the on going 3-year drought.
Similar trends were obtained when plotting against different VPI profiles.
In figure 6, when comparing the mean NDVI of class 6 for 1993 and 1996 against 2000 and 200, from the 3rd decade of March the vegetation failed indeed to emerge in early spring 2000 (WFP, 2001) as the NDVI line drops. In 2001, the situation was even worse. For the same period, 2001 NDVI is lower, and is dropping, due to the lack of water (WFP, 2001).

Figure 6: Comparison of the Vegetation Productivity Indicator with 4 remarkable years.
R E S U L T S

As stated in the methodology (Sannier et al., 1998), vegetation status maps should be produced for the time of the year corresponding to the peak of vegetation growth. According to the stratified historical image (figure 3), we considered that the main class of vegetation were class 2, 3, 4, 5, and 6 for the Hazarajat region supervised by Action Against Hunger.
For classes that presents little variation over the year (i.e. class 2); it is very difficult to identify a single decade as being the common vegetation peak. In our case, the global vegetation peak varies within a range of a few decades for class 3, 4, 5 and 6 [class 5 is not displayed here]. The first decade of May was chosen as being the decade the most representative of Afghanistan (classes 5 and 6, and to some extent class 3, 4, see Figure 4).

3.4.  Caracterisation of spatial pattern of vegetation using VPI
The VPI map indicates the qualitative status of the biomass for that decade, as being “very low”, “low”, “average”, “high” and “very high” than “normal” based on 20 years of NDVI data. Figure 7 is an example to show how VPI maps restituate the spatial pattern of vegetation status for the second decade of May 1993 - considered as a “good year” against 1999, 2000 and 2001 “drought years” in Afghanistan.

May 1993 - good year
May 1999 - drought year 1
May 2000 - drought year 2
May 2001 - drought year 3
Vegetation productivity :
Figure 7: Vegetation status map in May 1993 (good year), 1999, 2000 and May 2001 (drought years), during the the peak of vegetation growth (1st decade of May).

A successive comparison of Vegetation status map maps made possible to monitor the advance and severity of the drought. A quick comparison between 1993 and 2001 maps indicates how the on-going drought has affected Afghanistan vegetation.Areas located beyond the altitude of 3000m were masked. The area supervised by AAH is delimited by the white triangle located in the central region of Hazarajat, across the Bamian and Ourozgan provinces (close to the “mountain mask”).

Within 3 years, we clearly see the shift of vegetation status from “very high” to “very low”. The Hindu Kush region (near the “mountain mask”) seems to be the last area affected by the drought as its VPI remained positive in 1999 and 2000 and is qualitatively better than in other regions. The reason for this could be the snowmelt, which is a vital element for in agriculture. Indeed, Snowmelt brings water to lower valleys and rivers.
Moreover, the main irrigated areas can be easily identified on the 2000 and 2001 VPI maps as river-waters fed vegetation and irrigate cropland in the surroundings of the rivers map (i.e. Helmand River in the South, Oxus River at the North border).

3.5.   Seasonal VPI maps to identify worst drought areas
To study further the severity of the Afghanistan drought, we tried to identify worst drought-affected areas. Instead of considering only the vegetation peak, as suggested by Sannier et al., (1998); we considered the time-period where the slope of the mean NDVI trend-line was the highest for those classes, that is the third decade of March until the first decade of May.
To summarise the series of vegetation status maps, VPI maps were “composited” to produce “seasonal VPI map” for 1999, 2000, and 2001. A pixel of a seasonal map would represent the majority value of the VPI class during that “season” (i.e. from third decade of March to first decade of May). Figure 8 presents the seasonal VPI maps for Afghanistan in 1999, 2000 and 2001.

Vegetation productivity:

Figure 8 witnesses the progression of the drought since its beginning in 1999, following a Southwest to Northeast gradient. In 2000, the intermediate area between the central regions and southern provinces were affected by the drought as their VPI shifted from “Very high” in 1999 to “Average” and “Low” in 2000. In 2001, few variations were detected, all VPI are “Very low”, which clearly indicates that the entire country is affected by the drought. As for figure 8, we can note that watersheds can be identified on the 2000 and 2001 maps. Northern eastern region of Hindu Kush (close to the “Moutain Mask”) seems to be the last areas affected by the drought The reason for this is the important role played by the snowmelt as explained previously. It is interesting to notice that back in 1999, most of Afghanistan had a positive vegetation productivity indicator, excepted for the Central region -Hazarajat included- whose “Very low” productivity indicator witnesses the beginning of the drought.

This statement tends to match with the USAID/ODFA activities and IDP movements map released in March 2001 (link).
Several areas marked as “Severe drought” and “extremely severe drought” are clearly distinguishable on the seasonal VPI map. The methodology and data used by USAID/OFDA to produce such map is unknown. Therefore it is not possible to validate that conclusion with certainty (cf. Appendix 6 presents VPI seasonal map).

Conclusion and recommendations

• On the whole, the development of the Vegetation Productivity Indicator to monitor the extent and severity of the drought in Afghanistan was successful. Regarding the limited “official” documentation available, VPI succeeded to monitor the drought progression throughout the country and for the Hazarajat region.

• The quality of the stratification of the historical image could be improved. It would be interesting to perform a four-channel classification with AVHRR as suggested by Kerber and Schutt (1986).

• Regarding Action Against Hunger needs in term of spatial information, it would be interesting to undertake the following study to complement the qualitative information given by the VPI :
1- Develop an approach to estimate food deficit in Hazarajat region, based on the methodology developed by Sannier et al. (2000) in Zambia. To do so, a set of precise ground data (geo-referenced production sites, yield…) is mandatory.
2- 70% of Afghanistan agriculture rely on irrigation, which is highly depending on snowmelt collected by watersheds during spring. Consequently, it would be interesting to produce a hydrological model based on snow cover estimation, as described by Baghdadia N. et al. (1996) using ERS-1 SAR data in selected areas. Then it would be possible to perform runoff forecasts for selected drainage basins in Hazarajat Region.
Such indication would be useful to estimate, in winter, water availability for crop production in spring, and consequently mitigate the coming of a new disaster.

Acknowledgement

The author wishes to thank :
-  the Distributed Active Archive Center (Code 902.2) at the Goddard Space Flight Center, Greenbelt, MD, 20771,USA, for producing the data in their present form and distributing them. The original data products were produced under the NOAA/NASA Pathfinder program, by a processing team headed by Ms. Mary James of the Goddard Global Change Data Center; and the science algorithms were established by the AVHRR Land Science Working Group, chaired by Dr. John Townshend of the University of Maryland. Goddard's contributions to these activities were sponsored by NASA's Mission to Planet Earth program in cooperation with National Oceanic and Atmospheric Administration.
- Dr. Christophe Sannier for his kind supports throughout this research project.
- NGO Action Contre la Faim, Paris, for giving me the opportunity to work on such project.
- The "Silsoe family" and my parents for their moral support throughout this intensive year.

References

ARCWORLD, (1993) ESRI Data & Maps, 4 CD-Rom set, Afghanistan data provider for ERDAS

BONIFACIO R., DUGDALE G., and MILFORD J. R., (1993), Sahelian rangeland production in relation to rainfall estimates from Meteosat. International Journal of Remote Sensing, 14, 2695-2711.

DAVENPORT M. and NICHOLSON S. E., (1993), On the relation between rainfall and Normalized Difference Vegetation Index for diverse vegetation types in East Africa. International Journal of Remote Sensing, 12, 2369-2389.

DE FRIES et al. (1998). Global Land Cover clasification at 8 km spatial resolution: the use of training data derived from Landsat imagery in the decision tree classifiers. International Journal of Remote Sensing 19: 16,31413168.

DI L., RUNDQUIST D. C., and HARN L., (1994), Modelling relationships between NDVI and precipitation during vegetative growth cycles. International Journal of Remote Sensing, 15, 2121-2136.

HESS T., STEPHENS W., and THOMAS G., (1996), Modelling NDVI from decadal rainfall data in the North East Arid Zone of Nigeria. Journal of Environmental Management , 48, 249-261.

ICOMOG, (1995) “Banking on Biodiversity, Report on the Regional Consultation on Biodiversity Assessment in the Hindu Kush-Himalayas”: a consultative paper: http://www.icimod.org.sg/focus/ biodiversity/afgbio.htm)

JUSTICE C. O., DUGDALE G., TOWNSHEND J. R. G., NARRACOTT A. S., and KUMAR M., (1991b), Synergism between NOAA-AVHRR and Meteosat data for studying vegetation development in semi-arid West Africa. International Journal of Remote Sensing, 12, 1349-1368.

LINSLEY et al, (1975), Hydrology for engineers, (New York, ~Toronto, London: McGraw-Hill)

NORWINE J. and GREGOR D. H. (1983) Vegetation Classification based on Advanced Very High Resolution Radiometer (AVHRR) satellite imagery. Remote sensing of the environment, 13, 69-87.

SANNIER C.A.D., Taylor J.C., Du Plessis W., Campbell K. (1998) Real-time vegetation monitoring with NOAA-AVHRR in Southgern Africa for Wildlife Management and food security assessment, International Journal of Remote Sensing, vol 19, no4, 621-639.

THIEME O. & SUTTIE J.M., (1996), “Country Pasture/Forage Resource Profiles, Afghanistan”,UNDP/FAO project AFG/96/007, a consultable paper: http://www.fao.org/ag/agp/agpc/doc/counprof/afgan.htm#9

TAMENE L. (1996), Vegetation Status monitoring using NOAA-AVHRR NDVI in Ethiopia. Thesis (M.Sc.) MS/96/2432 - Cranfield University Silsoe 1998, MK45 4DT, Bedfordshire, UK. Supervisor: J.C. Taylor.

WFP (2001), FAO/WFP crop and food supply assessment, mission to afghanistan, special alert no.315: a consultation paper: http://www.fao.org/giews/english/alertes/2001/SRAFG601.htm ( last accessed 8 June 2001).

- MSc thesis digest -
the content of this page is a concised and reformated version of the original thesis document.

last up-date 4/5/08