The Landscape of Poverty in Nigeria: A Spatial Analysis Using Senatorial Districts- level Data

The study decomposes the Landscape of Poverty in Nigeria based on the significance of spatial contiguity using Senatorial Districts level Data. The data used for the study were obtained from Nat ional Living Standard Survey and Core Welfare Indicators Questionnaire Survey conducted by National Bureau of Statistics in 2004 and 2006 respectively. Exp loratory spatial data analysis and spatial autocorrelation test were carried out on poverty incidence data. Average national poverty rate of the Senatorial Districts (SD) was 56.0%. Forty nine percent of the SD had poverty rate (PR) below the national average. The global Moran’s I value obtained is strongly positive (0.6657), indicating that spillover of poverty exist among SD. The study revealed that 52% of the SD with significant spatial association had low PR neighboured by low PR SD (Low-Low), 41% of the SD with high PR were neighboured by high PR SD (High-High) and 7% of SDs with low PR were surrounded by high PR SD (Low-High). The mean PR in high-high and low-low SDs was 82.6% and 31.8% respectively. The study recommends that for a significant poverty reduction to be achieved in Nigeria, greater attention in terms of poverty allev iation strategies should be concentrated on the senatorial d istricts that constitute the hotspots of poverty.


Introduction
The poverty phenomenon in Nigeria and other developing nations has attracted significant global attention since the 1990s. First , was the annual pub licat ion o f the Hu man Develop ment Report by the Un ited Nat ions Develop ment Programme (UNDP) wh ich contains estimates of the Human Develop ment Indices used to rank all the 177 Countries that make up the Un ited Nat ions. The Hu man Develop ment Index (HDI) is derived fro m social and econo mic indicators th at are c lo s ely co r re lated w ith p o v erty . Hu man Develop ment Index is a simp le su mmary measure of three dimensions of human develop ment concept: liv ing a long and healthy life, being educated and having a decent standard of living. Thus it co mbines measures of life expectancy, school en ro lment, literacy and inco me [1]. Sin ce 2003, African Countries including Nigeria have ranked amongst the count ries with th e lo west HDI. In 2005, all the 27 Countries of the world with the lowest HDI were African Countries, Nigeria inclusive. These countries each has HDIs of less than 0.5 and when compared with figures of 0.968 for Iceland and Norway (the countries with the highest HDI) one will realized the enormity of the poverty problem in Nigeria and other lowly developed African Countries. Though the issues of poverty and low human development indices may not be peculiar to Africa, they are however mo re pronounced in the continent and the Nigeria situation is particularly worriso me because of the country's available natural resources and clement weather. Despite the conflicting statistical data on the incidence of poverty between government agency and international organization, there is undeniable fact that poverty situation in Nigeria is serious and deserves great attention. Specifically,[2] put the poverty rate of Nigeria at 54.4% wh ile [1] and [3] reported 70.2% and 70% respectively.
Over the years a number of Poverty Reduction Strategy Programmes (PRSPs) has been initiated in Nigeria, this includes the recently designed National Economic Empowerment Develop ment St rategies (NEEDS. In addition to the foregoing, a special Federal Govern ment institution to allev iate poverty in the country; the National Poverty Eradication Programmes (NAPEP) was created. These previously initiated PRSPs in the country along with many others initiated by the state governments appear only to have addressed the various manifestations of poverty, such as unemploy ment, lack of access to credit and functional rural and urban infrastructures, and gender inequality among others.
While the above mentioned Poverty Reduction Strategy Programmes (PRSPs) were well intentioned, none had any significant, lasting, or sustainable positive effects on the people they were p lanned for [3], [4]. This can be attributed among others to the non consideration of the heterogeneous nature of poverty and spatial contiguity of geographical units in the design of PRSPs. Existing poverty studies treat a geographical unit, such as a local govern ment area, a state, or a senatorial district, or a county, as an independent isolated entity rather than as an entity surrounded by other geographic units with which it may interact is being considered by this study. Moreover, there is scarce informat ion on spatial decomposition of poverty incidence among SD in Nigeria. Hence, the landscape of Poverty in Nigeria is investigated using Senatorial Districts (SDs) in Nigeria as geographic units.
Senatorial district is co mposed of Federal constituencies while federal constituency is made up of Local Govern ment Areas. Each state is made up of three senatorial d istricts while the federal capital territory (Abuja) has one senatorial district. This means that each state in Nigeria is represented by three elected senators in the national assembly (upper legislative chamber). Delineation of the country into senatorial district by National Population Co mmission is based on population distribution. Apart fro m performing the legislative duties, senators are also task with the economic development of their respective senatorial d istrict through lobby for sitting capital pro jects and judicious use of monthly constituency allo wance meant for execution of projects in senatorial d istricts.
The study utilized spatial econometrics technique instead of the conventional econometrics methods. Spatial econometrics technique has the advantage of addressing the problem of spillover effect or spatial autocorrelation if present in the data set. According to [5], studies that ignore spatial autocorrelation (dependence) can produce biased results (coefficient estimates) and lead to ineffective and possibly counterproductive -recommendations for policies targeted at poverty alleviation.
The study identified the locations of senatorial districts with similar and dissimilar (outlier) pattern of poverty incidence. Knowing this will afford researchers to determine the factors that are specific to each of the identified groups. The finding of this study is expected to assist government in localizing poverty alleviat ion strategy of senatorial d istricts that exhib it similar spatial pattern of poverty.

Conceptual Framework
The philosophy behind this study is based on Tobler First Law of Geography:"everything is related to everything else, but near things are more related than distant things." Spatial clustering shows the similarity or dissimilarity of poverty in neighbouring units and spatial autocorrelation measures the strength of the spatial clustering [6], [7], [8], [9], [10]. Global spatial autocorrelat ion (Moran's I) analysis yields only one statistics to summarize the pattern of poverty in the whole study area. That is, global Moran's I assumes homogeneity of the study area (that poverty pattern is the same in all the senatorial districts). This is the limitation of global Moran's I. To localize the presence and magnitude of spatial autocorrelation, a measure such as Anselin's Local Indicators of Spatial Association (LISA) is necessary (see equation 7). This approach is most useful when, in addition to global trends in the entire samp le o f observations, there exist also pockets of localities exh ibit ing heterogeneous values that do not follow the global trend. This leads to identification of so-called hot spots -regions where the considered phenomenon is extremely pronounced across localities-as well of spatial outliers [11].
'Moran scatter plot' p lots a variab le o f interest against spatial weighted component of that variable. This measure permits a more disaggregated view of the type of spatial autocorrelation that exists in a data. Local Indicators of Spatial Association [12] and Moran scatter plot [13] are valuable for gain ing a ''local'' understanding of the extent and nature of spatial clustering in a geographical unit. LISA indicates significant spatial clustering for each location.
Moran scatter plot utilizes graph only to identify observations (extent of poverty) that are similar as well as different (outliers: neighbouring senatorial districts that has contrasting poverty rates) from their neighbours while formula is used in Local Moran's I to identify similarity or dissimilarity of poverty rates in neighbouring units. For each location (senatorial d istrict), LISA values allow fo r the computation of its similarity with its neighbours and also to test its significance. Spatial association can be decomposed into four co mponents, viz: ■Senatorial districts with h igh concentration of poverty with similar neighbours: high-high. Also known as "hot spots".
■Senatorial districts with low concentration of poverty with similar neighbours: low-low. Also known as "cold spots".
■Senatorial districts with h igh concentration of poverty with low concentration of poverty neighbours: high-low. Potential "spatial outliers".
■Senatorial districts with low concentration of poverty with high concentration of poverty neighbours: low-high. Potential "spatial outliers". ■ Senatorial districts with no significant local autocorrelation.
Reference [13] demonstrated that the slope of the regression line through the points in Moran scatter plot expresses the global Moran's I value. A strong positive statistic indicates positive spatial autocorrelation (clustering of like values). This means that most senatorial d istricts would be found in the high-high or low-low (first and third quadrants) areas of the country.
A strong negative statistic indicates negative spatial autocorrelation suggests most senatorial districts with high (low) poverty concentration would be found in the vicinity of low (high) poverty senatorial districts (outliers).

Review of Previous Literature
Poverty is not only a state of existence but also a process with many dimensions and complexities. Generally, poverty has attracted a lot o f attention fro m the academia and non-academia globally. Few recent studies are based on the premise that individuals and households with co mmon characteristics sometimes are found clustered together either by choice or because they are constrained to co-locate by coercive operation of social, econo mic, geographic or political forces [14]. Identification of these households has been made possible through the advancement in spatial analytical techniques; which has also enables spatial pattern of poverty (concentration of poverty rates and outliers) to be quantified [15], [16], [17]. References [18], [19] showed that poverty rate in nearby locations are likely to be similar to one another, or error for the model in one area or location is correlated with the error terms in its neighboring locations; hence the need to pay attention to the structure of spatial dependence or autocorrelation in our data.
Reference [20] posited that knowing precisely where concentration of poverty exit will help the policy maker, social scientist and all other stake holders in continuing challenge of combating this fundamental threat (poverty) to well-being. Ignoring spatial autocorrelat ion will make it : ■ impossible to measure the strength of spatial concentration of poverty.
■difficu lt to exp lain substantial variation in the incidence of poverty across senatorial d istricts.
In a study on the topography of poverty in US, [20] findings showed that 51.9% of the total counties belong to similar spatial concentration (low -low and high-high), whereas only 7.8% were categorized as being spatial outliers (high -low and low -high). The remain ing 40.3% were neither. The categorization of spatial concentration into high or lo w poverty rate neighbourhood is in relat ionship with average national poverty rate. Most counties in US are found in the high-high and lo w-low subregions [14]. That is, the counties whose poverty rate is above (below) the average poverty rate are surrounded by counties with poverty rate above (below) average national poverty rate.
Reference [21] conducted a research on the application o f a spatial regression model to analysis and poverty mapping in Ecuador; their results confirmed the significant effects of spatial autocorrelation variable that denotes the presence of clusters in the spatial distribution of poverty and the influence between neighbourhood households on the probability of being poor. A comb ination of processes (socioeconomic, polit ical, demographic and geographic) operating in space over time has somehow conspired to partition countries into large reg ions of high and large regions of lo w poverty-with occasional ''island'' geographic units here and there that are very different fro m their neighbors [14].
Similarly, [22] in study on spatial clustering of ru ral poverty in Sri Lanka found that Divisional Secretariat (DS) divisions with a high percentage of poor households are found in four rural districts where ag ricu lture is the main source of livelihood of the majority of households. The clustering of DS div isions of lo w poverty around major urban centres suggests that, in predominantly agricultural areas, poor people have only limited economic opportunities to escape poverty. They revealed that availability of and access to water and land resources are the major factors of spatial concentration of poverty in rural areas. In another study on spatial approach to social and polit ical forces as a determinant of poverty in US, [5] stated that a positive and significant spatial dependence in the dependent variable (poverty rate) indicates that the poverty rate in a part icular county is associated with poverty rates in surrounding counties/local government areas. According to them, the value of the spatial autocorrelation coefficient (ρ = 0.21 in the model for all counties) obtained indicates that a 10 percentage point increase in the poverty rate in a county results in a 2% increase in the poverty rate in a neighbouring county. This is strong evidence that spillover effects exist between counties with respect to poverty. This finding is corroborated by [23]. They reasoned that poverty of a neighbourhood is tied to the fortunes of neighbouring areas: there are geographic spillovers in poverty reduction. Reducing poverty in particular neighbourhoods affects the poverty of neighbouring tracts.

Study Area
The study covered the 109 Senatorial districts of Nigeria. According to section five subsections 71 and 72 of Nigeria's 1999 constitution, "the Independent National Electoral Co mmission shall div ide each state of the federat ion into three Senatorial d istricts………. No Senatorial district or Federal constituency shall fall within more than one state, and the boundaries of each district or constituency shall be as contiguous as possible and be such that the number of inhabitants thereof is nearly equal to the population quota as is reasonably practicable.

Methods of Data Analysis
The study utilized descriptive and exploratory spatial data analyses (ESDA). The GIS software (ArcGIS 8.1) was used to ensure the compatibility of the senatorial district map with Geoda 0.9.5i The most common measure of spatial autocorrelation, a statistic called g lobal Moran's I [24], [25] is defined as follows: Where: i and j index the area units of which there are n, wij is a spatial weight measure of contiguity defining the connection between area unit i and area unit j.
w is 1 if location i is contiguous to location j and 0 (zero) otherwise.
x i is the poverty rate for each senatorial district x is the average poverty rate for 109 senatorial d istricts Positive values of Moran's I suggest spatial clustering of similar values across geo -space. A significant negative value (infrequent in the social sciences) indicates that neighbouring values are more d issimilar than expected by chance, that is high values are frequently found in the vicinity of low values.. The I statistic is similar to the familiar Pearsonian product-mo ment correlation coefficient, however, the maximu m and min imu m possible values of Moran's I are not constrained to lie in the (-1, 1) range [26], [27].
The expected value and variance of Moran's I for a sample of size n could be calculated according to the assumed pattern of the spatial data distribution [24].
For the assumption of a normal d istribution:   The test of the null hypothesis that there is no spatial autocorrelation between observed values over the n locations can be conducted on the basis of the standardized statistics as follows: Moran's I is significant and positive when the observed values of locations within a certain d istance (d) tend to be similar, negative when they tend to be dissimilar, and approximately zero when the observed values are arranged randomly and independently over space.
Spatial analysis (Local indicator of Spatial Association

Indices, Local indicator of Spatial Association Cluster Map, Local indicator o f Spatial Association Significance Map and
Moran scatter plot) is emp loyed to identify the senatorial districts with similar spatial pattern of poverty incidence. The analysis is carried out whether spatial autocorrelat ion is significantly present in the geo-referenced data set or not. Local Moran's I is computed using the formula below: The result fro m the spatial analysis above (LISA) identifies the senatorial districts with similar pattern of spatial distribution of poverty incidence as well as outliers (high -high, low -low, lo w -high and high -low). The significance or non significance of spatial autocorrelation is a prerequisite for the choice of corrective measure.

Empirical Results and Discussion
The study showed a low poverty incidence (%) in the southern part of the country which ranges fro m 8.1 to 36.9. In the north central, the poverty incidence ranges fro m 55.4% to 78.1%. The core north wh ich (co mprises of north west and north east) has the highest poverty incidence ranging fro m 78.4 % in Zamfara central to 97.7% in Jigawa northeast. Generally, the study revealed an average poverty rate of 56.04% among the 109 senatorial districts (see figure 1.1). Federal Capital Territory, Kaduna central, Kano central and Borno central are the three senatorial districts in the north that the poverty rates are substantially lower than the national poverty rate. This may be attributed to the location of state capitals (seat of government) in these senatorial districts where basic infrastructures are concentrated.
Moreover, the three senatorial districts in Lagos state (Lagos east, Lagos west and Lagos central), one in Edo state (Edo central) and Cross -River (Cross -River north) have the poverty rates higher than the national poverty rate in the south. The poverty rates in the six geopolit ical zones corroborate the findings above (see figure 1.2). Specifically, the average poverty rate in the southeast is the lowest (29.9%), while average poverty rates of southsouth and southwest are 39.8% and 37.9% respectively. The northwest geopolitical zone has the highest average poverty rate (77.6%); this is follo wed by northeast (74.5%) and northcentral (68.1%). The h igh average poverty rates in the northern geopolitical zones may be attributed to longstanding lags in provision of health, education and other social services resulting in p roportionately more poor in the north [28]. He reasoned that the southern zone has most of the industries and many export crops while the northern zone is largely rural and agricultural with a frag ile agro -climat ic environment and a different socioeconomic h istory. Furthermore, appro ximately 49% of the senatorial districts (53 SD) have poverty rates below the average national poverty rate (56.0%). The study showed that out of the 53 senatorial d istricts that the poverty rates are belo w the national poverty line, 87% is in the southern part of the country while 13% (Bo rno central, Kano central, Kaduna central, Niger south, FCT, Benue northwest and Benue northeast) is located in the northern part of the country. Also, 91% of the SDs having poverty rates above the national poverty rate is located in the north while 9% (Lagos east, Lagos west, Lagos central, Edo central and Cross -River north) is found in the south (see figure 1.3). Figure 1.4 shows that 30% of the senatorial d istricts in northeast, 34% in northwest and 27% in northcentral geopolitical zones have poverty rates above the national poverty rate (56.0%). Conversely, 4% of the senatorial districts in southsouth, 0% in the southeast and 5% in the southwest have poverty rates above the national poverty rate. Among the geopolitical zones, southsouth has the highest number o f senatorial districts with poverty rates below the national poverty rate (38%). This is followed by southeast and southwest that shared the same percentage (28%).
The result of the analysis showed that there is positive spatial autocorrelat ion (0.665) in poverty incidence across Nigeria (see figure 1.5). The diagnostics for spatial dependence using a contiguity-based spatial weights matrix also revealed that the spillover effect is not only present but significant (p <0.001). The figure below shows the Moran scatter plot of poverty rates for the senatorial districts in Nigeria. Reference [13] demonstrated that the slope of the regression line through these points expresses the global Moran's I value as shown in figure 1.5 belo w. Figure 1.5 below shows that most senatorial d istricts are found in the high -high (47) or low -low (43) neighbourhoods in the country. Specifically, the upper right quadrant of the Moran Scatterplot shows the SD with above average poverty rate that also share boundaries with neighbouring SD that have above national average value of poverty rate (high-high). The lower left quadrant shows SD with below average poverty rate values and neighbours also with below national average values (low-low). The lower right quadrant displays SD with above average poverty rate surrounded by SD with below average values (high-low), and the upper left quadrant contains the reverse (low-h igh). The SD in the lower right and upper left quadrants are the outliers.   The study did not only reveal the significant presence of spatial dependence but also the type of spatial dependence that is more likely, using the robust Lagrange Multiplier indicators [13]. The table 1.1 shows that spatial lag is the type of spatial dependence present in poverty incidence in Nigeria. The value for robust Lagrange mu ltiplier (lag) is high and significant (p<0.01). This means that poverty incidence in one SD is not only influenced by factors within but also by the poverty incidence in nearby SD. That is, proximity of senatorial districts in fluences the poverty rates. The imp licat ion of this result is that spatial dimension has to be given consideration in any causal relationship between poverty rate and factors influencing it. The result obtained fro m Local Indicator of Spatial Association (LISA) revealed that out of 90 senatorial districts that have similar spatial pattern of poverty incidence (high-high and low-lo w), 51 have similar spatial patterns that are statistically significant (at p≤ 5%, see table 1.2 belo w). The high -high constitutes the senatorial districts with mo re pronounced poverty incidence as well as their neighbouring SD.  High -Low 6 NA 6 Source High poverty incidence in Lagos state senatorial districts unlike other senatorial districts in the southern part of Nigeria may not be unconnected with h igh level of rural-urban migration wh ich makes the available infrastructures to be overstretched. Lagos state being the commercial nerve center of Nigeria attracts the poor from all parts of the country, believing that their relocation to Lagos will imp rove their standard of liv ing. Knowing the factors responsible for the more pronounced incidence of poverty in the red-shaded senatorial d istricts is important in o rder to come up with workab le poverty reduction strategy in Nigeria.
The categorization of senatorial districts to spatial patterns was based on indicator (CL_POR) fo r the type of cluster. It takes the value of 1 for h igh-high, 2 for low-low, 3 for low-h igh and 4 for high-low [9]. The categorization as reported by Geoda 0.9.5.i is shown in table 1.4 [9], [10]  Note: ***p-value < 0.01 and **p-value< 0.05, ns means not significant, 1 = HH, 2 = LL and 3 = LH (Geoda 0.9.5i reports only the significant clusters)

Conclusions and Recommendations
The application of spatial data analysis methods revealed strong evidence of spatial interaction across senatorial district boundaries. Using a binary weight matrix in the estimation of spatial effects, we found that proximity to senatorial districts that have a h igh (low) poverty rate will increase the probability that household in a senatorial district will itself have a high (low) incidence of poverty. The landscape of poverty incidence obtained from the study identified the hot spots and cold spots of poverty in Nigeria. Knowing precisely where concentrations and isolated islands of poverty exist will help various government owned organizations with the mandate of allev iating poverty (NAPEP, NEPAD and NEEDS) and state governments in their continuing challenge of co mbating this fundamental threat to well-being and economic development of Nigeria. Moreover, this finding will assist government agencies saddled with poverty alleviat ion in applying specific strategy to different landscape of poverty. Also, the elected representatives (senators) are afforded the opportunity of knowing the poverty landscape of their respective senatorial districts so that their constituency development fund can be property channeled to poverty allev iation.