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International Journal of
            Population Studies                                                 Single mother spatial distribution in Nigeria



            variations across Nigeria and highlight places where single   2.2. Statistical analysis
            mothers are more likely to be found; such analysis can   We considered a spatiotemporal model within a Bayesian
            also aid protective interventions designed specifically   framework that allows for the spatiotemporal analysis of
            for these individuals. This is particularly important in   the pattern of single motherhood in Nigeria. We assumed
            a highly heterogeneous country like Nigeria. However,   a binomial distribution for the random variable  Y  that
                                                                                                         ij
            a countrywide analysis often masks relevant local-level   denotes the number of single mothers in state i during the
            information (Alaba et al., 2015; Somo-Aina & Gayawan,   j  survey period, and n  is the corresponding number of
                                                               th
                                                                                  ij
            2019). Consequently, this study aimed to investigate the   women who participated in the survey. That is, Y ~ binomial
                                                                                                    ij
            spatiotemporal changes in single motherhood in Nigeria   (n , p ) for i= 1,…,37 and j=1,2,3,4; p  is the probability
                                                                 ij
                                                                   ij
                                                                                              ij
            based on data of the second administrative strata of the   (prevalence) of single motherhood. We used the logit of
            country. We extracted data from the Nigeria Demographic   the probability of the single motherhood outcome given
            and  Health  Survey  conducted  in  four  waves  and  used  a   as follows:
            Bayesian generalized additive spatial model (Blangiardo &
            Cameletti, 2015) in which the statistical inference was made   logit(p ) = β  + vβ + γ  + ϑ  + δ ij  (I)
                                                                                i
                                                                        0
                                                                    ij
                                                                                   j
            through a probabilistic approach for Bayesian inference.
            The  findings  from  the  study  elucidate the  dynamics  of   Where  β  is the model intercept,  v is a vector that
                                                                         0
            family formation relating to single motherhood across   collects all the categorical variables included as linear
            Nigerian states during the period under consideration.  terms in the model, β is a vector of the linear parameter,
                                                               and γ  is the random effect for the state assumed to have a
                                                                   i
            2. Data and methods                                spatial structure and modeled using a Gaussian intrinsic
            2.1. Data source                                   conditional autoregressive prior with the spatially
                                                               correlated random term for each state. This was determined
            We analyzed data on single motherhood from four waves   as the sum of the values assigned as weight based on the
            of the Nigeria Demographic and Health Survey conducted   neighborhood structure of the spatial units, formulated
            in 2003, 2008, 2013, and 2018. The National Population   through an adjacency matrix that considers two states as
            Commission of Nigeria implemented these surveys with   neighbors if they share a common border. The term ϑ  is
                                                                                                           i
            financial and technical assistance from The Demographic   a non-linear smooth function assumed for the metrical
            and Health  Surveys  Program.  A  two-stage  sampling   covariate age of the women and was modeled assuming
            design was used in each wave to determine participating   a second-order random walk prior, δ  is a spatiotemporal
                                                                                             ij
            households for the survey. In the first stage, clusters   random effect term, and the parameter vector  δ  is
            (enumeration areas) were chosen from the census data of the   considered to have a Gaussian distribution with a precision
            country, and in the second stage, participating households   matrix τ R , where τ  is a structured matrix that indicates
                                                                       δ
                                                                               δ
                                                                      δ
            were determined. Women aged 15 – 49  years found in   the type of relationship existing between the space and time
            the sampled households were eligible to participate in the   components. More details about the model are provided
            survey, which entailed a detailed questionnaire regarding   in a previous study (Blangiardo & Cameletti, 2015). We
            the demographic and health conditions of the women and   used the deterministic approach to Bayesian inference and
            their households. The response variable created for this   employed the integrated nested Laplace approximation
            analysis is a binary indicator that takes the value of 1 if the   available through the R-INLA package (Rue et al., 2009).
            woman has never been married or was formerly married/  Other estimation procedures such as using a Markov chain
            living with a man and 0 if the woman is currently in a union   Monte Carlo simulation are also possible.
            or living with a man. The data set was restricted to women
            with at least one child, thus excluding single women who   3. Results
            were not single mothers. We considered the following   Figures 2 and 3 present the maps of the estimated prevalence
            variables in our analysis: nature of the place of usual   of single motherhood in Nigeria for each of the four survey
            residence; the highest level of education; religion; ethnicity;   waves. Figure 2 presents the results when no covariates are
            household wealth index; whether the woman has access to   included in the model, whereas Figure 3 presents results
            newspapers, radio, and television at least once a week; and   that include all available covariates. The results show that
            employment status of the woman. The state in which the   in Nigeria, the distribution of single motherhood exhibits
            woman resides at the time of the survey was considered as   distinct spatial patterns, with significant regional variations
            the spatial unit in the model. Administratively, Nigeria is   during the years. Initially, in 2003, states in the South-South
            divided into 36 states and a federal capital territory, Abuja,   and  South-East  geopolitical  zone,  such  as  Rivers,  Cross
            as reflected in Figure 1.                          River, Akwa Ibom, Ebinyi, Enugu, and Bayelsa, showed


            Volume 11 Issue 2 (2025)                        45                        https://doi.org/10.36922/ijps.4313
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