Poverty-centred rural road funds sharing in sub-Saharan Africa

Poverty-centred allocation of funds for rural roads and their systematic prioritisation are important to enhance sustainability, provide equality of transport opportunities and mitigate poverty. The aim of this work was to investigate and develop new approaches with specific emphasis on sub-Saharan Africa, given that the existing decision systems do not appropriately consider social impacts and poverty. An understanding of rural road funds allocation and road scheme prioritisation to alleviate poverty is important as road transport is by far the most predominant form of transport in Africa. This study developed new allocation and prioritisation processes for rural roads based on expert opinion surveys and empirical evidence, which were then applied to analyse allocation and road scheme selection processes used in Uganda and Ghana. The study found that the multi-dimensional poverty index is the most highly prioritised factor in rural road scheme selection and, for regional rural road funds sharing, poverty is equally weighted with the rural accessibility index. A goal programming model, based on expert opinion weightings, is recommended for poverty alleviation.


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Poverty-centred allocation of funds for rural roads and their systematic prioritisation are important to enhance sustainability, provide equality of transport opportunities and mitigate poverty. The aim of this work was to investigate and develop new approaches with specific emphasis on sub-Saharan Africa, given that the existing decision systems do not appropriately consider social impacts and poverty. An understanding of rural road funds allocation and road scheme prioritisation to alleviate poverty is important as road transport is by far the most predominant form of transport in Africa. This study developed new allocation and prioritisation processes for rural roads based on expert opinion surveys and empirical evidence, which were then applied to analyse allocation and road scheme selection processes used in Uganda and Ghana. The study found that the multi-dimensional poverty index is the most highly prioritised factor in rural road scheme selection and, for regional rural road funds sharing, poverty is equally weighted with the rural accessibility index. A goal programming model, based on expert opinion weightings, is recommended for poverty alleviation.
Notation AL in specified/optimal attainment level for ith project/road C in per unit consequence contribution of the ith project/road CF z climatic factor for area z d i amount by which the solution falls short of the ith goal FA r funding availability/project cost factor or cash flow constraint for the rth road IE r implementation efficiency factor (absorption constraint) for the rth road K 41 population impact factor (default value is 0·45) K 42 length impact factor (default value is 0·35) K 43 equity factor (default value is 0·20) L sz total length of road surface type s under designated authority z M sj allocation to road network jurisdiction j ( j = community access roads) and road surface s M sz allocation to designated authority z for road surface type s n number of goals (objectives) P i priority factor of the ith objective POP z population of area z UF z unit cost factor for area z (default value is 1·0)

Introduction
Road transport is by far the most predominant form of transport for both passengers and freight in rural sub-Saharan Africa (SSA) and this situation is unlikely to change in the foreseeable future as alternative transport provisions are very limited. Furthermore, rural transport is expensive and is likely to remain so for a long time (Bullman, 1982), which will continue to affect transport opportunities, social impacts and poverty levels. Nevertheless, according to Hine et al. (1983), the improvement or reconstruction of a rural road has limited impact on agricultural prices but the improvement of a footpath to a road providing vehicular access has a beneficial effect that is of the order of a hundred times that of improving an existing rural roadthis is measured in terms of adjustments in farm gate prices as farmers and traders shift from head-loading to motorised vehicles to buy and sell produce. Consequently, the upgrading of footpaths and community access roads is likely to alleviate poverty, particularly in rural remote areas in developing countries. Similarly, inappropriate rural transport is a major factor contributing to the poverty of the rural population in most developing countries (Hine, 2014). There is therefore a need for new poverty-centred approaches.
The roads in SSA during colonial times were built primarily for the exploitation of mineral and agricultural resources. The driving factor in the location of roads was to link mines, plantations and other sites for the exploitation and transportation of natural resources to ports, rather than to provide general connectivity within the region or at country level (Gwilliam, 2011;Porter, 2002). This created spatial polarisation and poor territorial cohesion and it can therefore be argued that rural road transport investment and road funds allocation in SSA has not been driven by poverty or social impact from the outset.
Road infrastructure planning in SSA and most developing countries is dominated by political connotations and focuses disproportionately on the national road network at the expense of the district and feeder roads that benefit rural inhabitants. In most countries in SSA, expert opinion is that poor planning, inappropriate and uncoordinated resource allocation combined with inadequate corporate governance in road sector institutions has to some extent undermined poverty alleviation efforts. Moreover, prolonged inequity is likely to exacerbate poverty in society and can be a trigger for conflict. Transport can affect equality by creating fair societies or it can also cause disparities between different or within the same regions (Beyazit, 2011). Similarly, transport plays a pivotal role in assuring social justice in societies by distributing social and economic benefits.
The central theme of this study was to use goal programming (GP) as a method to establish allocation and road prioritisation processes using expert opinion surveys to determine the weights (rankings) of key factors. GP is a pragmatic and flexible method that is capable of analysing complex decision problems where several objectives and many variables and constraints are involved.
The research design used case studies from typical developing countries in SSA -Uganda and Ghanaand involved a combination of both quantitative and qualitative methods. Furthermore, two web-based expert surveys were undertaken to seek opinions on rural road scheme prioritisation and road funds allocation in SSA (Naimanye, 2015).
The rationale and motivation of this work is discussed in Section 2. Section 3 provides a definition of poverty and its effects. Section 4 presents the research methodology, Section 5 analyses expert opinion on regional rural road funds allocation, Section 6 proposes the GP models and Section 7 analyses case studies of Uganda and Ghana. Section 8 provides research limitations and, finally, conclusions and recommendations are presented in Section 9.

Rationale and motivation
As already mentioned, in SSA countries, there is more emphasis on funds allocation towards national roads to the detriment of district and community access roads (rural roads) and these have 'been neglected by most governments in developing countries ' (Robinson and Stiedl, 2003: p. 70). However, it can be argued that rural roads serve 'the majority of the population' (Dalvi, 1987: p. 160). Similarly, when compared with national roads, rural roads provide salient links in the social capital network. The above-cited scholars support the notion of prioritising rural roads with the goal of poverty alleviation, considering that SSA is believed to have the worst accessibility of any populated region in the world. For example, fewer than 40% of rural Africans live within 2 km of all-season roads. The majority of rural Africans therefore have long distances to travel in order to access services, using time that could have been used for more productive activities. Furthermore, physical isolation is a strong contributor to poverty and accentuates vulnerability. Consequently, rural road investment is likely to reduce poverty associated with spatial isolation, hence the need for new poverty-centred approaches to enhance sustainability.
It is widely acknowledged that rural road scheme prioritisation in SSA and most developing countries is not very systematic and is often subject to political manipulation due to a lack of clear and all-encompassing guidance that takes account of the views of all key stakeholders and experts; moreover, in most cases, allocations are not poverty-centred. Raballand et al. (2010: p. 47) point out that 'road-building funds are usually not allocated on the basis of any systematic prioritisation arrived at through a modeling process… [and] roads are used as political tools'. This results in a lack of equality of transport opportunities and further accentuates poverty.
Rural road infrastructure can reduce inequality and inequity if it improves accessibility for the poor. In SSA, it is believed that the lack of good roads has played a big role in exacerbating poverty and has been a hindrance to commerce and trade. Furthermore, road sector reforms have affected rural roads much less, despite agriculture being an engine for poverty alleviation and the fact that agriculture is the most important economic activity in rural SSA.
Road planning undertaken using traditional criteria considers road conditions or the required intervention level as the main criteria in order to establish a road maintenance plan; only in some cases is the socio-economic importance of the road influence area and historical maintenance record taken into account (PIARC, 2013). Moreover, evaluation of low-volume roads in developing countries is often challenging to undertake using standard cost-benefit analysis (CBA) as road user savings are negligible (Leinbach and Cromley, 1983). However, it is widely acknowledged that poverty effects and social impacts are not considered adequately in CBA, which is the Transport Poverty-centred rural road funds sharing in sub-Saharan Africa Naimanye and Whiteing traditional method of road scheme investment appraisal in SSA. While recognising the historically established advantages of the conventional CBA approach, it does not adequately take account of poverty considerations, which fall into the category of indirect or wider effects of transport infrastructure projects and are difficult to evaluate. Moreover, the World Bank suggests that the use of pure economic indicators as decision tools can potentially lead to a vicious circle being created where investments actually widen the income gap (World Bank, 2005). Therefore, it is important that new poverty-centred systems are developed to reduce the burdens of the rural poor in SSA and thus enhance sustainability.

Definition of poverty and its effects
There is some evidence to suggest that poverty to some degree is negatively correlated with equity (most economically equitable societies have relatively lower levels of poverty). Therefore, lack of equity is likely to exacerbate poverty (as equity decreases poverty increases and vice versa). Poverty is usually measured by assessing income or expenditure based on an established poverty line below which an individual or household is classified as poor, and the World Bank uses a poverty line of income of US$1·90 per day below which someone is classified as poor. However, this is a one-dimensional concept. An alternative way is to take account of the multi-dimensionality of poverty and specify the various ways an individual experiences poverty. A person experiences poverty when s/he falls below several poverty lines. A multi-dimensional poverty index (MPI) that takes account of health, education and standard of living is most appropriate as the factors are closely linked to the Millennium Development Goals (Alkire and Santos, 2010). Nonetheless, the MPI could be further improved by embedding transport and accessibility as some of the indicators to be assessed within the three key MPI measures.
In 2000, the World Bank (2000) described poverty in terms of the following four dimensions.
& Opportunitya lack of access to labour markets, employment opportunities and productive resources. Transport contributes to economic growth by mobilising human and physical resources. & Capabilitya lack of access to public services such as education and health, and hence inability to build human capabilities. Transport can play a big part in improving this attribute of poverty by providing access to education and health facilities; this constitutes access to opportunities and means to improve human capital. & Securityvulnerability to economic risks and to civil and domestic violence. Transport should contribute to greater security by removing any sense of vulnerability through isolation. & Empowermentbeing without voice and without power at the household, community and national level. Transport is a mechanism for supporting effective participation.
Therefore, changes in transport conditions will have a series of impacts and benefits upon these four dimensions of poverty.
The rural transport system is often closely integrated into the agricultural marketing system and its improvement will almost always lead to poverty reduction and improvement of social impacts. Hine (2014: p. 15) observed that economic theory indicates that road investment is most likely to stimulate rural development if & it induces a relatively large change in transport costs; a major improvement of a long road will have a greater chance of impact compared with a minor improvement of a short road & there are unused resources of land and labour to exploit and & there are dynamic urban markets to absorb new production.
Several studies have revealed that the availability or unavailability of transport affects poverty levels and shapes people's life opportunities (Lucas, 2006;Martens, 2012). Adequate transport provision in SSA is necessary for economic empowerment by providing access to education and employment in addition to health facilities, which are all important for poverty alleviation.
In 2004, the UK Department for International Development (DfID, 2004) prepared a guide for pro-poor transport appraisal that identifies the nature of social benefits and how they can be measured using indicators. The salient aspect of the guidance is the participatory approach at all levels in the determination of social impacts by involving local communities, transport users and decision makers. The aforesaid notwithstanding, detailed and protracted consultations with local communities are likely to be expensive, especially for sparsely populated and remote areas of rural SSA. Moreover, social benefits (impacts) tend to be multi-dimensional and not easily quantifiable and affect individuals at varying levels depending on their needs and circumstances, thus requiring detailed consultations.

Research methodology
A web-based panel of experts with experience in road funds allocation and road scheme prioritisation in SSA was set up as part of this research, and two rounds of surveys were undertaken; the first stage involved 44 panellists and the second stage comprised 29 panellists (Naimanye, 2015). The second stage survey was more detailed and was based on the findings of the first survey. The experts were mainly managerial staff of road funds and road authorities in SSA; they were located or had road funds allocation/road scheme prioritisation experience in various countries including Uganda, Ghana, Zambia, Kenya, Tanzania, Namibia, Zimbabwe, Malawi, South Africa, Canada, USA, UK, Mozambique, France, Netherlands, New Zealand and Ethiopia.
Transport Poverty-centred rural road funds sharing in sub-Saharan Africa Naimanye and Whiteing Experts were requested to provide a weighting of the most important factors in road scheme prioritisation for both capital investment projects and maintenance schemes for the various network classes of national roads, rural roads and urban roads. The derived weightings (rankings) analysed in the following section were then applied to assess rural road funds allocation in Uganda and Ghana (Section 6).

Results of expert opinion on road funds allocation and road scheme prioritisation
The experts agreed that prioritisation of national roads should be purely on economic efficiency criteria. However, when considering rural roads, multi-criteria analysis should be used and social equity (impacts of personal, economic or social characteristics) and multi-dimensional poverty should be highly prioritised. Furthermore, the experts concurred that the community should be involved at all stages in rural road scheme prioritisation. Table 1 shows the panel's weights (average) for the key factors considered important for road scheme prioritisation for new road projects (capital investment).
Analysis of the results in Table 1 shows that, for prioritisation of new rural road projects, multi-dimensional poverty should be weighted at 36% and economic efficiency at 32%, while regional connectivity and political consideration should each be weighted at 16%. Therefore, the MPI is the most important factor in the prioritisation of new rural road projects.
The expert weightings (average) for the most important factors to consider when prioritising road maintenance schemes are analysed in Table 2. Analysis of the results in Table 2 shows that, for prioritisation of rural road maintenance projects, economic efficiency and multi-dimensional poverty should each be weighted at 35%, while regional connectivity should be weighted at 17% and political consideration at 13%. One interesting finding when comparing Tables 1 and 2 is that the experts' weightings for prioritisation of new road projects and maintenance are not very different. Furthermore, for both capital investment and road maintenance of rural road projects, the MPI is the most highly prioritised factor.
For rural road funds allocations on a regional basis, the experts believed that needs basis and economic productivity of a region play an important role in allocations. The suggested weightings by the panel as regards regional allocations are indicated in Table 3.
From Table 3, it can be seen that needs assessment is most highly weighted; however, at the micro-level (local regions, villages, sub-counties), network metrics are not accurate and in most cases unavailable. It should be noted that the MPI and the rural accessibility index are equally weighted in regional allocations. The weightings as determined above were used when developing the GP models, both weighted and lexicographic (based on sequentially satisfying priorities).

Goal programming
It is argued in this paper that rural road funds allocation and scheme prioritisation in SSA ought to be undertaken by GP rather than the use of 'data hungry' complex decisionsupport tools. Taplin et al. (1995) posit that, for each project, a score is obtained from decision makers (experts) or other respondents for each criterion and these scores are standardised into some numerical range and the merit of each project is measured by the sum of the priority weighted scores.

Critical factor Weighting
National roads

Rural roads
Urban roads Economic efficiency 0·54 0·32 0·50 MPI 0·14 0·36 0·27 Regional connectivity 0·22 0·16 0·11 Political consideration 0·10 0·16 0·12  Needs basis (road condition and length) 0·23 Agricultural productivity, extraction of natural resources and tourism 0·22 Population density 0·17 MPI 0·14 Rural accessibility index 0·14 Regional connectivity 0·10 Table 3. Expert weightings of key factors for regional allocations Transport Poverty-centred rural road funds sharing in sub-Saharan Africa Naimanye and Whiteing Here, GP is proposed to be used as follows when prioritising rural road schemes. Weightings or scores are determined based on expert opinion. The weights may be in terms of scores or an arbitrary monetary value. The approach proposed in this paper comprises two stages, namely strategic level prioritisation (planning and programming level) using weighted GP followed by detailed scheme selection at implementation level using lexicographic GP.
A scheme may score highly at strategic level but poorly at implementation planning level and vice versa. Therefore, the decision maker needs to be cognisant of both scores prior to agreeing a preferred/optimal and poverty-centred solution (Naimanye, 2015). The aforesaid may be considered as boundaries in the Pareto efficiency constraint. Table 4 shows suggested analysis at strategic planning and programming level based on the experts' suggested factors for rural SSA.
In the first option during prioritisation at strategic level, the principle is to limit the weighted sum of the penalties for deviating from the goals specified in a series of constraints such that the result is a compromise between various competing criteria as illustrated in the formulation below An alternative approach may be to maximise the weightings and priority factor rather than minimising, such that the schemes are ranked based on the highest scores. Naimanye (2015) provides a worked example of using GP in road scheme prioritisation in Uganda. Having identified the road schemes at strategic level through a weighting GP model, the second option for the detailed selection of road schemes at implementation level takes the form of a lexicographic GP model. The sequential priority levels were set based on the survey results (Tables 1 and 2). Table 5 analyses typical prioritisation of rural roads in SSA using a lexicographic GP model at four priority levels.

Case studies
7.1 Critique of Uganda's rural road funds allocation formulae Equation 1 shows the community access roads allocation formula previously used by the Uganda Road Fund when allocating funds to sub-counties (villages) (URF, 2014). The allocation formula does not take account of poverty or social impacts at all. Furthermore, there is no scientific justification for the weighting of population at 0·85 and surface area at 0·15, and the weightings are not based on expert opinion or a needs basis. The formula favours allocations to highly populated areas, which in some cases are not the most heavily deprived.

1:
A where A is the allocation to sub-county X, P is the population allocation (= 85% of Z(Px/∑P)), S is the surface area allocation (= 15% of Z(Sx/∑S)) and Z is the total allocation available.
A new formula for allocation to the various regions at subcounty level for community access roads during the financial year 2014/15 is shown in Equation 2 (URF, 2014). Region linkage R 1 to R n a R 1 is road 1 and R n is the nth road Table 4. Rural road scheme prioritisation in SSA at strategic level 5 Transport

2:
Poverty-centred rural road funds sharing in sub-Saharan Africa Naimanye and Whiteing The terms in Equation 2 are defined in the notation. The new community access roads allocation formula is data intensive and data collection in SSA is a challenge, especially for rural roads; moreover, the formula does not consider poverty or social impacts. Furthermore, the formula does not provide for consultation with stakeholders, which is a major weakness. Several studies have shown that involvement of the community in planning, management and maintenance ensures that the roads meet the needs of the people and are maintained regularly after construction (DfID, 2003;Symington, 2001).
The World Bank (2010) recommends that road funds allocations to districts in Uganda should take account of agricultural output or potential; however, the existing formulae do not address this important factor which is critical for poverty alleviation. Furthermore, poverty levels in northern Uganda are far higher than the southern part and the allocation formulae do not address the economic divide.
According to Raballand et al. (2010), optimal road maintenance funds allocation by district in Uganda should be a function of agricultural potential, district population, district area and the length and condition of the district road network. The aforesaid is reasonable. However, a better addition and improvement would be explicitly to include factors relevant to multi-dimensional poverty and social impacts.

7.2
Rural road scheme prioritisation in Uganda At lower local government level and before operationalisation of the Uganda Road Fund, rural roads were prioritised using the rehabilitation and maintenance planning system. The system is an updated and expanded data management and planning tool based on the routine maintenance planning system introduced in the districts in 1997. Since operationalisation of the Uganda Road Fund in 2010, rural roads are now prioritised by district road committees, which mainly comprise members of parliament and local leaders. Naimanye (2015) hypothesised that there is no scientific basis in the road scheme selection process and road schemes are prioritised in accordance with the requirements of the local leaders; therefore, selection is used to maintain and strengthen political allegiance or personal benefits. This affects equality of transport opportunities and most probably does not adequately address the need to alleviate poverty.

7.3
Critique of Ghana's road funds allocation formulae Foster and Pushak (2011) observe that Ghana allocates its road fund resources much more evenly, with rural roads Expert-identified priority level 1 Scheme Goal is alleviating multidimensional poverty /enhancing social equity (weighted) Measurement and assessment options include health, education, standard of living, travel time reductions to amenities, transport services/accessibility and human development index Total score Attainment level R 1 to R n Expert-identified priority level 2 Scheme Goal is economic efficiency (weighted) Measurement and assessment options are CBA, cost effective analysis, net present value and internal rate of return Total score Attainment level R 1 to R n Expert-identified priority level 3 Scheme Goal is regional or international connectivity (weighted) Measurement and assessment options could be distance reduction to neighbouring districts, travel time savings, territorial equity, accessibility index and availability of transport services Total score Attainment level R 1 to R n Expert-identified priority level 4 Scheme Goal is political balance (weighted) Measurement and assessment options could be number of beneficiary constituencies, election pledge, regional balance, ethnicity balance, marginalised population and partisan political catchment Total score Attainment level R 1 to R n Table 5. Proposed rural road scheme prioritisation in SSA at implementation level Transport Poverty-centred rural road funds sharing in sub-Saharan Africa Naimanye and Whiteing receiving 30% and urban roads 25% of the total and the remainder going to national roads. However, this may not necessarily be poverty-centred or based on needs and expert opinion. In 1997, Mwale (1997) reported that the Ghana Highway Authority (GHA) was allocated 58%, the Department of Feeder Roads (DFR) received 20% and the Department of Urban Roads (DUR) 22%. However, 15 years later (in 2013), the budgetary allocation for rural roads was 26·90% (DFR) and 26·46% (DUR) for urban roads (GRF, 2013), which is still not equitable or poverty-centred. The Ghana Road Fund allocations have also been somewhat erratic over time.
Ghana does not have a specific allocation formula to address regional allocations and the main agencies use HDM-4 software in the prioritisation and allocation of resources, which does not adequately take account of poverty or social impacts. Nevertheless, the allocation to the various implementing agencies has a high potential for political interference and there is a general bias of government actions and business growth towards benefiting urban areas more than rural areas (IDL Group, 2014). Furthermore, the allocation strategy does not take account of the north-south economic divide. Table 6 analyses the network parameters, demographics and poverty levels in the Ghana regions during 2006.
Considering the expert weightings developed in Table 3 combined with the parameters for each region as analysed in Table 6, regional funds allocation for feeder roads in Ghana could be undertaken taking account of a uniform factor weighted at 22% being a proxy for agricultural productivity (which is a function of rural road length), a population factor weighted at 17%, network length/road condition factor at 23%, a land surface area factor at 10% being a proxy for regional connectivity and an equity factor weighted at 14% taking account of the MPI of each region and 14% for road condition being a proxy for accessibility.

7.4
Road scheme prioritisation in Ghana In Ghana, decision-making tools are seldom used effectively to manage, measure, plan, budget for and prioritise the rural road network to enable evidence-based policy discussion (IDL Group, 2014). This view is also supported by Boamah (2010) who argues that there is no investment analysis, which results in inconsistent and distorted road maintenance programmes. However, Boamah (2010) further notes that different tools are used by the implementing agencies in road maintenance budgeting and prioritisations, namely a pavement maintenance management programme by the GHA, a maintenance management system by the DUR and a maintenance performance budgeting system by the DFR.
In terms of investment analysis, Boamah (2010) observes that economic evaluation is undertaken for individual road projects using CBA for GHA and DUR networks, and various appraisal methods are applied for feeder road projects, including (a) an accessibility improvement index, (b) a road area prioritisation model and (c) a road maintenance prioritisation model. Hine et al. (2000) explain that the Ghana feeder road prioritisation framework aims to maximise economic and social benefits through extensive community participation together with a prioritisation index where social and economic benefits are estimated from predicted changes in accessibility and road roughness. The project was set up in 1999 by the DFR of the Ministry of Roads and Transport in cooperation with the UK Department for International Development and covered nine   (2013)) Transport Poverty-centred rural road funds sharing in sub-Saharan Africa Naimanye and Whiteing districts in the north-east of the country. The procedure essentially covers the following steps.
& First round of improvementsapproximately 50% of the funds are allocated equally between the nine districts to ensure equitable spread of funds. & Consultationa list of candidate roads are drawn up from each district and ranked by local communities prior to technical analysis. & Technical analysis of candidate roadsthe ethos is to assess candidate roads on economic and social grounds, and detailed surveys are undertaken to determine population served, location of important facilities, modal traffic distribution, traffic volumes, road condition in terms of roughness and road improvement costs for both access and full rehabilitation. & The total benefits are divided by the road improvement costs to determine a prioritisation index.
The Ghana feeder roads prioritisation scheme partly covers social impacts, equity and some aspects of multi-dimensional poverty. However, its major drawbacks are that it is data intensive, costly, lengthy and bureaucratic.

Research limitations
This study has shown that there are challenges relating to uniform interpretation and analysis of poverty. Poverty assessment is a complex phenomenon due to the various poverty dimensions, different interpretation mechanisms, numerous impacts and data sources, and the wide range of parameters that may be considered. There is no clear definition, in practice or in theory, of what constitutes an exclusive poverty-centred approach for rural road scheme prioritisation or funds allocation.
This research was based on data from Uganda and Ghana and expert opinion was obtained from practitioners with experience mainly in Africa. Prudence is thus required when applying the findings of this paper to other developing countries in SSA and local expert opinion should be sought.
Use of GP models should also be undertaken with caution. Analyses should be undertaken before and after solving the problem to mitigate against modelling pitfalls by use of methods such as normalisation, Pareto efficiency detection and restoration techniques (Tamiz et al., 1998). In the same vein, when using lexicographic models, they should not include an excessive number of priority levels as this creates redundancy problems. However, the limitations are not believed to be detrimental to the conclusions and recommendations of this study.

Conclusions and recommendations
Analysis of the road funds allocation formulae used in Uganda shows major weaknesses as regards social impacts, poverty and equity. The old formula is simple but there is no scientific justification of the weightings used for population and surface area; in addition, the weightings are not based on expert opinion or needs assessment. The formula favours allocations to highly populated areas, which in some cases are not the most heavily deprived. The new allocation formula is too complex and data intensive, and key stakeholders are not consulted during the allocation process. Furthermore, there is limited scientific analysis in the road scheme selection processes and road scheme prioritisation is politically influenced and not poverty-centred (Naimanye, 2015). Moreover, there is a strong bias towards allocation of funds to national roads although rural roads serve the majority of the populace.
Ghana road fund allocations vary from year to year and are not poverty-centred; moreover, there is a bias towards national roads. Ghana does not have a specific allocation formula to address regional allocations and decision tools are seldom used appropriately. The Ghana feeder roads prioritisation scheme attempted to cover some aspects of multi-dimensional poverty; however, it is data intensive and costly. Allocation systems in both Uganda and Ghana do not consider the historical north-south economic divide that affects poverty and sustainability.
A rural roads authority is important to spearhead povertycentred allocations and rural road scheme prioritisation and to ensure secure long-term funding for rural road development and maintenance. If not in place, then a directorate within the Ministry of Roads (Transport/Works) with appropriate expertise should be in place to champion the case for rural roads. Furthermore, a rural transport strategy/policy with multidimensional poverty highly prioritised should be in place.
In order to address poverty and social impacts adequately, funds should be allocated specifically to clear bottlenecks and not necessarily to rehabilitate roads to a good standard.
For rural road funds allocations on a regional basis, experts believe that a needs basis and economic productivity and potential of a region play an important role in allocations; nevertheless, multi-dimensional poverty should also be highly prioritised. In the same vein, direct labour methods, which offer local employment particularly for women, are important in alleviating poverty. Force account (direct labour) works execution using methods such as 'road gangs' and 'lengthman systems' for routine manual maintenance has a greater trickledown effect in financial benefits for local residents while contracting mainly benefits the contractor unless labour-based contractors are used.
In order to mitigate existing road sector inequities, enhance sustainability and offer equality of transport opportunities, a goal programming model that highly prioritises multidimensional poverty is recommended for SSA rural road scheme selection. Furthermore, rural road funds allocation Transport Poverty-centred rural road funds sharing in sub-Saharan Africa Naimanye and Whiteing should be based on expert-identified factors with a bias towards poverty alleviation.

Transport
Poverty-centred rural road funds sharing in sub-Saharan Africa Naimanye and Whiteing