Abstract
Two opposite strands of literature analysing export diversification’s role in promoting sustainable growth have evolved in international economics and development, namely, the intensive and extensive margins of exports. This study empirically investigates which of the margin is more useful towards promoting sustainable growth using annual time series data of Nigeria for the period 1960–2021. Autoregressive distributed lag (ARDL) and innovative accounting procedure were employed. The ARDL results reveal that both margins significantly enhance growth in short and long run. However, importance of the extensive margin, in aggregate, dominates that of the intensive margin. Likewise, the results from innovative accounting procedures reveal that although both margins contribute positively to growth, the contribution to growth of extensive margin dominates over that of the intensive margin. These results, thus, lend credence to the extensive-margin exposition, which postulates that the export of extant commodities to new market destinations or export of new commodities to new and/or old market destinations plays a relatively more important role in export growth/diversification and, ultimately, sustainable growth. The study recommends that governments should develop and implement economic policies aimed at enhancing exports of value-added commodities—due to their relatively high income and price elasticities over primary commodities—to maximise the benefits in the extensive margin.
Introduction
Two opposite strands of theoretical literature analysing export diversification’s role in promoting sustainable growth have evolved in international economics and development, namely, the intensive and extensive margins of exports (Veeramani et al., 2018). The former, whose notion is grounded in Armington’s (1969) model, postulates that export of extant products/commodities to old market destinations, at higher prices and/or higher volumes (Turkcan, 2014b), is the principal avenue for export growth/diversification and, ultimately, economic growth (Bista & Sheridan, 2021). The latter, whose standpoint is based on the monopolistic competitive model put forward by Krugman (1980), maintains that export of existing products to new destinations (Turkcan, 2014b) or export of new products to old and/or new destinations (Amurgo-Pacheco & Pierola, 2008; Vakataki‘Ofa et al., 2016) is instead more appropriate and plays the dominant role (Gao et al., 2014) in economic growth performance.
A large number of studies have analysed the relevance and macroeconomic implications of the two propositions. Empirical findings, however, have been mixed and inconclusive. Although some empirical studies (Adelan & Kakinaka, 2018; Bingzhan, 2011; Bojnec et al., 2021; Ekmen-Özçelik & Erlat, 2013; Gao et al., 2014; Islam, 2014; Jongwanich, 2020; Otamurodov et al., 2016; Sun & Xian-de, 2018; Tanasritunyakul, 2021; Tianhao & Jing, 2021; Turkcan, 2014a; Veeramani et al., 2018; Zhang et al., 2017; Zhou et al., 2013) lend credence to the intensive margin proposition, several others (Aldan & Çulha, 2016; Amarsanaa & Kurokawa, 2021; Banda & Simumba, 2013; Bista & Sheridan, 2021; Cho & Díaz, 2018; Dutt et al., 2013; Huchet‐Bourdon et al., 2018; Kehoe & Ruhl, 2013; Mora & Olabisi, 2021; Rahmouni, 2020; Turkcan, 2014b; Zhao et al., 2013) also validate the extensive margin exposition.
In Nigeria, ever since oil exploration and production activities commenced in 1958, oil export has continued to play dominant roles in the economy. Historically, it accounts for over 90% of export earnings and about 80% of federal government revenue, and generates more than 25% of the country’s gross domestic product (GDP; Agbaeze et al., 2015; Okotie, 2018). It also provides approximately 90% of foreign exchange earnings (Okotie, 2018) and about 70% of budget revenues (Olayungbo, 2019). Undoubtedly, since the discovery in 1956 (Emediegwu & Okeke, 2017; Ogbuigwe, 2018), Nigeria’s economy has benefited inestimably from oil exports. The country’s excessive reliance on oil revenues (Aigbedion & Iyayi, 2007) compounded by oil price volatility, however, has triggered macroeconomic challenges (Akinlo, 2012) and structural difficulties (Aigbedion & Iyayi, 2007) in the economy; deteriorating external debt situation (Pinto, 1987); severe perennial fiscal contraction; a persistently unhealthy domestic business environment; high level of poverty compounded by insurgency and acute unemployment rate (Njoku & Ihugba, 2011); and underdevelopment of manufacturing capacity for industrial exports aggravated by the neglect of non-oil sectors of the economy where potential remains great (Riti et al., 2016) but largely unexploited.
To resolve the dismal consequences of overreliance of the country on oil (Agbaeze et al., 2015) and, most essentially, diversify the economy’s productive base, a number of socio-economic programmes and policies, at different periods, were designed and implemented by successive Nigerian governments (Kolawole et al., 2015). Prominent among these are the 1982 Economic Stabilization Act; the 1986 Structural Adjustment Programme; the Rolling Plans of 1990–1992, 1993–1995, 1994–1996, 1997–1999; National Economic Direction of 1999–2003; the 2003–2007 National Economic Empowerment and Development Strategy; the Seven-Point Agenda of 2007–2009; the 2011–2015 Transformation Agenda; the 2012–2017 Subsidy Reinvestment and Empowerment Programme; Nigeria’s Vision 20: 2020; and the recent 2017–2020 Economic Recovery and Growth Plans. Although the content of these programmes appears feasible, the entire anticipated benefits are still far (Eko et al., 2013) from being realised as the economy is hitherto dominated by oil sector.
Several factors have been identified as possible causes of the failure of the policies (Obamwonyi & Aibieyi, 2014). Prominent among these are the incoherent implementation of the policies (Makinde, 2005) and neglect of country- specific circumstances which ought to, as a matter of necessity, be considered. Informed by the need to proffer solutions to the implementation problem and the country’s peculiar circumstances, the questions as to which priority sectors that Nigeria should target for export diversification policy and how to best promote the strategy have emerged in the literature. Empirically, a replete of studies (Ajibola et al., 2019; Eko et al., 2013; Ideh et al., 2021; Madichie et al., 2019; Omoju & Ikhide, 2020; Riti et al., 2016; Umeji, 2019) have advocated agriculture, industries, tourism, services sector and several other revenue-earning sectors as plausible options for diversifying the economy.
Motivated by the long-standing efforts of the government to diversify the economy’s productive base, coupled with the search for the best export diversification strategy, and unresolved debate, we empirically investigate whether intensive margin or extensive margin of diversification is more useful towards promoting sustainable growth in Nigeria. Although, as explicated in the literature cited above, empirical studies on the subject occupy a sizable portion of economic literature (Akinlo, 2009), nonetheless, an in-depth and exhaustive reading of the literature reveals that, apart from the ambivalence of the findings, most of the empirical studies focused on advanced (notably, European, Asian, American) and other industrialised economies. Very little, if any (Arize, 1996), has been reported exclusively for African countries (in particular, oil-producing African economies) and are mainly on growth effects of overall export diversification. Moreover, generalised studies across countries (Adedokun, 2013) utilising panel (sometimes, cross-sectional/cross-country) data appear to dominate the empirical inquiries. Additionally, as observed in the literature, empirical studies analysing the subject, especially at the country-specific level (in Africa), has received scant attention in economic literature. Specifically, no known study on Nigeria has been reported to date. Hence, this article fills the gap.
Utilising annual data from 1960 to 2021, the article employs the autoregressive distributed lag (ARDL) approach to cointegration and innovative accounting procedures to investigate which of the margin is more beneficial for sustainable growth in Nigeria. This article differs from the existing ones in several ways. First, it investigates the subject within the context of oil-producing African countries (OPAC), specifically with reference to Nigeria’s economy. To date, as shown in the next section, existing empirical studies based exclusively on OPAC/Nigerian data lack intuitive insights on the topic. Second, it contributes to the ongoing discourse on the design of future policies to enhance and sustain growth in OPAC countries, and offers a framework for analysing the nexus between sustainable growth and both margins in other countries that rely heavily on natural resources as the source of export earnings. Third, it complements extant studies via advanced econometric techniques. Essentially, apart from utilising the standard augmented Dickey–Fuller (ADF) and Phillips–Perron (PP) unit root tests (Tang & Tan, 2013), the study also employs ARDL cointegration procedure. This technique is able to handle any possible endogeneity issue. As argued in McNown et al., (2018), the ARDL bounds test has the advantage of solving endogeneity problems (Tong et al., 2020) and eliminating the possibility of inconclusive inference.
Finally, more detailed evidence are provided and analysed. Importantly, to enhance the depth and versatility of analysis, innovative accounting procedures—impulse response functions (IRFs) and forecast error variance decomposition (FEVD)—were used. While IRFs show the directions of response to a random shock of a variable (Tan & Tang, 2012), FEVD displays the information about the percentage of movement in a variable due to its own shocks (Tan & Tang, 2012) versus shocks due to other variables in the system. Both are out-of-sample tests that are useful in discerning the degree of exogeneity of the variables (Tan & Tang, 2012) and the dynamic responses of variables beyond the sample period. The rest of the study proceeds as follows. In the first place, a succinct review of empirical evidence are provided. Afterwards, econometric methodology and data are discussed. This is followed by techniques of estimation and empirical analysis. Conclusion, policy recommendations and possible directions for future work are presented thereafter.
Review of Related Studies
Empirically, over the past five decades, the role of intensive and extensive margins of export diversification in promoting sustainable growth has remained a subject of intense debate in international economics and development. A succinct list of previous studies on the theme is shown in Table 1. More importantly, to maintain brevity, we focus primarily on studies from the early 2000s. As the table illustrates, the growth implications of both margins have been extensively studied and occupy a substantial body of economic literature (Akinlo, 2004). A comprehensive reading of these studies, however, suggests that overall findings are hitherto inconclusive.
Apart from this, as Table 1 elucidates, most of the prior studies rely mainly on panel, cross-sectional, cross-country (and sometimes, pooled) data analysis. As noted in the literature, there is growing concern about the limitations of this approach in providing a sound empirical basis for informing the policy debate. Apart from the weak theoretical foundations as well as general methodological flaws (Deaton, 1989) pertaining to econometric procedure and model specification, there are numerous fundamental limitations that make results from panel/cross-country/cross-sectional regressions on this subject rather dubious (for details, see Keho, 2017; Naranpanawa et al., 2011; Sakyi et al., 2015; Siddiqui & Ahmed, 2019; Srinivasan, 1994; Srinivasan & Bhagwati, 2001).
Moreover, apart from the ambivalent results and generalised studies across countries, empirical literatures assessing the subject in the context of African countries (Odedokun & Round, 2001) are scarce. Most of the empirical inquiries (Arize, 1996) focused attention on industrial and advanced (particularly, European, Asian, American) economies. In addition, available extant studies based exclusively on African/Nigerian data (Abdullahi & Jibir, 2018; Doki & Tyokohol, 2019; Duru & Ehidiamhen, 2018; Hesse, 2008; Hodey et al., 2015; Huseyin & Shuaibu, 2020; Johnson, 2016; Lugeiyamu, 2016; Matezo et al., 2021; Nwosa et al., 2019; Odularu, 2009; Oyelami & Alege 2018; Owan et al., 2020; Vakataki‘Ofa et al., 2016; Yuni et al., 2020) that have examined the nature of the relationship between export diversification and economic growth have focused mainly on investigating the growth impacts of overall export diversification which by its nature have been far from being definitive on comparative analysis of the effects of export diversification at intensive and extensive margins on growth. Specifically, no known study has been reported exclusively for Nigeria. This article, thus, fills the gap.
Summary of the Extant Literature.
Model and Data
Following Dunusinghe (2009) and Saleem and Sial (2015), we adopt and build on the dualistic growth framework developed by Feder (1983) to derive the econometric models employed in the empirical analysis. In line with Feder’s formulation, we assume that the overall economy (denoted by Y is composed of two distinct sectors: the non-export sector (represented by R ) and the export sector (depicted by Q ). That is,
Further, as in Dunusinghe (2009) and Saleem and Sial (2015), instead of an aggregate national production function, we assume that these sectors have different production functions depict mathematically as follows:
where R and Q denote, respectively, output in non-export and export sectors; Kr and Kq depict respective physical capital stock; Lr and Lq signify respective labour force; and F and G represent the conventional production functions describing the respective sector’s technologies.
Moreover, as shown in Equations (2) and (3), respectively, we assume that the output of export sector Q is dependent on capital Kq and labour Lqwhereas the output of non-export sector R depends on the volume of export sector Q in addition to capital Kr and labour Lr employed in it. This formulation, as evidenced in Equations (2) and (3), represents the beneficial effects of export sector on non-export sector (such as the development of efficient and internationally competitive management, introduction of improved production techniques, steady flow of imported inputs, training of higher quality labour and so on). These effects are referred to as externalities as they are not reflected in market prices (Feder, 1983).
A total differentiation of Equations (1)–(3) respectively yields:
where a variable with a dot over it indicates its growth rate;
Given that the overall output (GDP) of the economy (earlier by denoted by Y) is the summation of output of both sectors, incorporating Equations (5) and (6) into Equation (4) yields
Furthermore, as in the Feder model, we assume that the ratio of respective marginal factor productivities in the two sectors, depicted in Equation (8), deviates from unity by d, that is,
where the superscripts depict partial derivatives.
In the absence of externalities (Feder, 1983), and for a given set of prices, a situation where d = 0 would reveal an allocation of resources which maximises national output. However, due to a number of reasons, the marginal productivities of capital and labour are likely to be higher in the export sector Q than in the non-export sector R. An important reason, from economic intuition, is the more competitive environment in which export-oriented firms operate. Competition induces innovativeness (Feder, 1983), efficient management of firms’ resources, adaptability and so on. Other key reasons for the deviations between sectoral marginal factor productivities—other than the higher perceived uncertainty—are numerous regulations and constraints (Feder, 1983) such as credit and foreign exchange rationing associated with export enterprises.
Using Equation (8) in Equation (7) yields
By defining total growth of capital
Recall that Equations (8) and (6) imply
Substituting Equation (14) in Equation (13) yields
Following Saleem and Sial (2015), we assume in Equation (16) that the marginal productivity of capital
The formulation in Equation (17), which looks similar to the neoclassical production function, is the basis of our empirical model. According to this equation, the real GDP per capita is dependent on physical capital, labour force and exports.
To retain simplicity, we follow Bista and Sheridan (2021) when specifying exports and approximate it by means of three variables: total exports, intensive margins and extensive margins of exports. However, we use only the intensive and extensive margins of exports (which we denote by I and E) to avoid potential multicollinearity problems. Additionally, in line with the World Bank (2021), endogenous growth theories and augmented Solow model, we incorporated human capital (approximated by the human capital index, an international metric that benchmarks key components of human capital across countries) rather than the total labour force in the empirical analysis. The main reason for this, as noted in the economic literature, has been that the labour force performs major role in the determination of productivity level (Babatunde & Adefabi, 2005). This is because they speed up the adoption of foreign technology that is expected to balance the knowledge gap between the developed and developing countries. Similarly, they are more creative and inventive.
Keeping the above in view, following Saleem and Sial (2015), an econometric representation of Equation (17) is specified as follows:
where Y is real GDP per capita; K, H, I, and E, denote, respectively, physical capital stocks, human capital index, intensive margin, and extensive margin; {1, {2, {3, and {4 are the respective parameters; {0 and fit are the intercept and white-noise error term; ln depicts natural logarithm; and the subscript t signifies time. To enhance the depth and versatility of analysis, an attempt is also made to explain Equation (18) with the help of various macroeconomic and structural policies. For a comprehensive analysis, we incorporated exchange rate, openness and foreign direct investment (FDI) inflows in Equation (18) as regressors (following Aurangzeb & Stengos, 2014; Burange et al., 2019; Razzaque et al., 2017; Sakyi et al., 2015; Sheikh & Malik, 2021).
From both a theoretical and an empirical perspective, two opposite strands of literature assessing the sustainable growth effects of exchange rate movement have evolved in development economics, namely, the classical and structuralist expositions. On the one hand, the classical economists argue that devaluation of a country’s currency—an increase in exchange rate—triggers an ‘expenditure-switch’ in domestic demand away from imports towards locally (Razzaque et al., 2017) produced import-competing goods. It also improves international competitiveness of domestic industries, which in turn, bolster exports. These two effects together exert an expansionary impact on overall growth (Razzaque et al., 2017). On the other hand, the structuralist contrarily argued and identified several factors why devaluation policy reduces an economy’s output growth. Paramount among these are the structural problems (notably in developing countries) and the phenomenon of foreign dependency (Razzaque et al., 2017). The bulk of the inputs used by these economies, mostly in their production processes, are provided through imports. Therefore, an increase in the exchange rate makes imported production inputs more expensive, which may, in turn, hamper growth (Karahan, 2020). Empirically, a sizable number of studies argue that country-specific inquiries appear to be the best plausible option. Hence, it is included in Equation (18) as a covariate.
Similar to the exchange rate, the debate on the role of openness to trade as a driver of sustainable growth has been a subject of controversy among economists and policymakers. In theory, there are two contentious views to the debate. On the one hand, beginning with the works of classical and neoclassical trade theorists (notably, Adam Smith and David Ricardo), are those who maintain that openness promotes the efficient allocation of resources through comparative advantage, allows dissemination of knowledge and technical progress, encourages competition in domestic (Gries & Redlin, 2012) and international markets (Chang et al., 2009). On the other hand, following the innovative works of Prebisch (1950) and Singer (1950), are those who contend that the effects of openness on growth is doubtful. If market or institutional imperfections exist, openness will lead to underutilisation of human and capital resources, concentration in extractive economic activities, or specialisation (Chang et al., 2009) away from technologically advanced, increasing-return sectors. Several studies have assessed the implications of the two propositions. Empirical findings, however, are far from being settled.
There are two opposite arguments on the growth impacts of FDI inflow in recipient countries. The first, whose idea is grounded in modernisation theory, holds the notion that FDI is beneficial for growth in the host economy. Proponents of this strand of literature emphasise that FDI inflow contributes to growth by stimulating capital accumulation and/or through positive externalities (Herzer, 2012) in the form of knowledge and productivity spillover to local firms. Advocates of the second view, whose standpoint is based on dependency theory, argue that FDIs, on average, have negative effects on growth in the recipient country. According to this strand of literature, the spillover effects of FDIs are often illusory, since domestic firms using unskilled workers and backward production technology (Herzer, 2012) are typically unable to learn from multinationals. Besides, it is argued that FDIs lessen capital accumulation when foreign investors claim scarce resources, such as import licences, credit facilities, skilled workers and so on, thereby crowding out investment from domestic sources. Also, FDI inflow creates an industrial structure in which monopoly is predominant (Adams, 2009a). Since multinationals have lower marginal costs due to some firm-specific advantage, competition from foreign companies can, paradoxically (Herzer, 2012), lessen the productivity of domestic firms, as some firm-level studies suggest. Given the conflicting theoretical views, it is included in Equation (18) as a determinant of growth.
In view the above arguments, to ascertain whether intensive or extensive margin of diversification is more useful towards promoting sustainable growth, Equation (18) is augmented as follows:
where ln Y, ln K, ln H, ln I, ln E, ∂ ln X, ln T, and ln M denote, respectively, the natural log of real GDP per capita (measured in 2010 of constant US$), natural log of physical capital stocks (at current purchasing power parities in millions of 2011 US$), natural log of human capital index (based on years of schooling and returns to education), natural log of intensive margin (diversity within sectors), natural log of extensive margin (diversity across sectors), exchange rate (national currency/$, market + estimated), natural log of openness to trade (sum of imports and exports of goods and services as a share of GDP, current US$) and natural log of FDI inflow (net outflows BoP, current US$). The parameters vi (where θ = 1, 2, 3, …, 7) are the corresponding numerical estimates. While subscript t depicts the time period (1960–2021), y signifies white-noise error term. With the exception of v5, v6, and v7, which can be positively or negatively signed, the anticipated signs of all other coefficients (v1, v2, v3 and v4) are positive. All the variables (except exchange rate) were expressed in natural log (ln ()) to minimise the scale effect.
All the data were compiled from Penn World Table (PWT) 10.0, World Development Indicators (WDIs) of the World Bank (2021) and International Monetary Fund (IMF) export diversification and quality database (2014). Specific source and variable definitions are provided in Table 2. Data on stocks of physical capital, index of human capital and exchange rate were compiled from the PWT. Data on real GDP per capita and openness to trade were obtained from the WDIs. Although data on FDI from 1970 to 2021 were taken from the WDIs, those of 1960–1969 were derived using the linear forecasting technique. Data on intensive and extensive margins for the period 1962–2014 were taken from the IMF database, whereas those of 1960–1961 and 2015–2021 were, as in FDI, obtained using the linear forecasting technique. Table 3 presents the summary of descriptive statistics of the data. It is clear from the table that all the variables display a high consistency (as the mean and median are within maximum and minimum values). Moreover, the low standard deviation of almost all the variables suggests that the deviation of actual data from the mean is very small. The skewness, kurtosis and Jarque–Bera statistics show that, at 5% critical value, virtually all the variables are normally distributed. This is additionally buttressed by the nearness of median and mean.
Data Sources and Description of Variables.
Descriptive Statistics of the Variables.
Techniques of Estimation and Empirical Results
Stationarity Tests
Before the study proceeded with the detailed estimation and analysis of Equation (19), ADF and PP unit root tests were employed to ascertain the order integration of the variables. Both statistics were performed at 1%, 5% and 10% level of significance. First, they were conducted with intercept only and, afterward, with trend and intercept. Estimated ADF and PP results presented in Tables 4 and 5, respectively, clearly reveal that (apart from extensive margin of export and FDI inflow which are stationary at level) every other variable becomes stationary at first difference.
Stationarity Tests of Variables: ADF Unit Root Test Results.
NS and *** denote, respectively, non-stationary and not applicable.
Stationarity Tests of Variables: PP Unit Root Test Results.
NS and *** denote, respectively, non-stationary and not applicable.
Cointegration Tests
Having ascertained the stationarity properties of the variables, the bound testing approach was employed to examine the presence of cointegration relationship. The method is adopted and considered apposite for three reasons. First, as opposed to other cointegration techniques (the residual-based procedure advanced by Engle and Granger (1987), the fully modified ordinary least squares (OLS) method of Phillips and Hansen (1990), the full information maximum likelihood procedure of Johansen and Julius (1990) and Johansen (1992)), the ARDL technique is more robust and performs better for small (Kumar, 2010) and finite sample sizes. Second, given the nature of the interrelationship between physical capital stocks, human capital index, intensive margin, extensive margin, exchange rate, trade openness, FDI, and real GDP per capita, incorporated in the model, the method appears apposite to address any possible endogeneity issue (Samantaraya & Patra, 2014). Finally, the procedure allows the long-run and short-run coefficients of the model (Srinivasan et al., 2012) to be estimated simultaneously. In light of these, for this study, the ARDL model representation of Equation (19) is expressed as follows:
where θ's, and λ's, depict, respectively, the long- and short-run estimates; D, t0 and u denote, respectively, the difference operator, drift component and white noise error term; and w, r, s, t, q, g, h and f are the optimal lag lengths. Hence, to ascertain the existence of cointegration between sustainable growth and the explanatory variables, Equation (20) was first estimated by the OLS procedure. Afterwards, the study tested the null hypothesis θ1 = θ2 = θ3 = θ4 = θ5 = θ6 = θ7 = θ8 = 0 against the alternative hypothesis θ1 ≠ θ2 ≠θ3 ≠θ4 ≠θ5 ≠θ6 ≠θ7 ≠θ8 ≠ 0 employing the F-test. The computed Wald-test F-statistics value obtained from the test was compared with the upper bound I(1) and lower bound I(0) critical values of Narayan (2005) for small sample sizes, . However, prior to the bound test, the apt lag length of 2 included for each series in the model in Equation (20) was first of all determined using Akaike and Schwarz information criteria. Table 6 reports the results of the lag order selection.
Results of Lag Order Selection Criteria.
LR: sequential modified LR test statistic (each test at 5% level).
FPE: Final prediction error.
AIC: Akaike information criterion.
SIC: Schwarz information criterion.
HQ: Hannan–Quinn information criterion.
Subsequently, with the optimal lag-length of 2, to test for cointegration, 4,374 distinct ARDL model representations of Equation (20) were examined and the most appropriate model (2, 0, 0, 0, 0, 0, 0) for this study was selected. The relative superiority of the chosen model over alternatives is depicted in Figure 1 (the Akaike information criteria graph of the top 20 models). As the figure shows, all the models use two lags of the endogenous variable. Table 7 lists the bound test results. Based on the results, at 5% significance level, the computed value (5.25) of the F-statistic is evidently larger than the upper bound value (3.21). Hence, the alternative hypothesis is accepted.

Cointegration Results.
Long-run and Short-run Estimations
Following the cointegration test, the short-run coefficient estimates and the long-run parameters associated with the selected ARDL are provided in panels A and B of Table 8, respectively. Beginning with the error correction model term, the estimated coefficient 0.3336 is statistically significant, in line with theoretical expectations, suggesting that the adjustment speed of the long-run equilibrium (Kalai & Zghidi, 2019) in response to the imbalance caused by short-run shocks in the previous year is 33.36%.
In relation to the growth effects of (physical) capital stocks, the estimated short-run and long-run parameters reveal that the accumulation of physical capital is an important driver of growth. Specifically, as Table 8 illustrates, a unit increase in the stock of physical capital increases growth by 0.2644 and 0.3939% in the short-run and long-run respectively. These significant positive effects suggest that enhanced and sustainable investment in infrastructure (such as road networks, railway lines, airlines, electricity, telecommunication, etc.) need to be accorded high priority. Hence, public–private partnerships should be initiated in such sectors as industries, building and construction to boost physical capital stocks. This result is consistent with the neoclassical and endogenous growth models and corroborates the findings of Bal et al. (2016), Iyke and Ho (2017) and Ahmed et al. (2020).
Regarding the effect of human capital on growth, the results suggest that human capital accumulation is indispensable and germane to short-run and long-run growth. Importantly, as Table 8 explicates, a 1% increase in human capital accumulation brings about 0.3336 and 0.5057% increase in sustainable growth, in the short run and long run, respectively. This implies that investment in human capital will not only accelerate the current growth but also help to sustain future growth. It also suggests that to bolster the short-run and long-run growth, other than focusing solely on diversification policies, policymakers should consider reforms relating to education, training and health by observing the successful human capital models adopted by developed countries (such as Singapore, Japan, Germany, Taiwan, Canada and Australia). Similar findings were observed by Akingba et al. (2018) and Toyosi (2020).
Short-Run and Long-Run Estimates.
With respect to the effects of diversification at intensive and extensive margins on growth, the estimated coefficients show that both margins significantly enhance sustainable growth in the long run and short run. However, the importance of extensive margin, in aggregate, dominates that of intensive margin. Specifically, as shown in Table 8, a 1% increase in intensive and extensive margin raises growth by 0.1647 and 0.4882% in the short run and 0.7289 and 1.1720% in the long run, respectively. These results, thus, lend credence to the extensive margin explanation, which postulates that export of extant commodities to new market destinations or export of new commodities to new and/or old market destinations plays a relatively more important role in export growth/diversification and, ultimately, sustainable growth. These results are in line with the findings of De Lucio et al. (2011), Turkcan (2014b), Aldan and Çulha (2016) and Matthee et al. (2016).
With respect to the relationship between exchange rate and growth, an insight from the estimates suggests that devaluation of currency is inimical and detrimental to short-run growth. As Table 8 reveals, a 1% increase in exchange rate lowers growth by 0.1617% in the short run. However, in contrast to its short-run negative significant impact, exchange rate devaluation has an expansionary effect in the long run. Explicitly, a 1% increase in the exchange rate leads to 0.6474% increase in growth in the long run. These findings imply that, in the short run, currency devaluation leads to certain resource allocation adjustments (Razzaque et al., 2017) besides inflationary pressure (comprising price change expectations), resulting in dwindling economic activity. However, in the long run, with the improvement in the incentive structure for resource allocation (Razzaque et al., 2017) in favour of the more productive tradable sector, and given its enhanced competitiveness (Razzaque et al., 2017), the expansionary effect sets in. This finding is consistent with Razzaque et al. (2017). However, it contradicts the results of Karahan (2020).
As regards the effects of openness on sustainable growth, in the short run and long run, the elasticity coefficients are positive as expected although statistically insignificant. As shown in Table 8, a unit increase in openness to trade results respectively in 0.0408 and 0.5999% increase in the short run and long run. These insignificant positive effects seem plausible and undoubtedly illustrates the nature and composition of Nigeria’s foreign trade. Most often than not, the import volume is heavily skewed in the direction of semi-finished goods unscrupulously packed as raw materials. Similarly, in the case of exports, the volume is dominated by low value-added and primary products (particularly, oil whose price and quantity are determined in the external market and has very little or no relationship with economic reality). Similar results were also observed by Olufemi (2004) and Sheikh et al. (2020) but contrasted by Nwadike et al. (2020).
With reference to the impact of FDI inflow on growth, estimated results in Table 8 suggest that an increasing level of FDI inflow contributes positively to growth. However, unlike its short-run positive significant impact, the estimated long-run coefficients are not statistically significant. As observed from Table 8, a 1% increase in FDI inflow increases growth by 0.2432% in the short run and 0.1224% in the long run. These findings have two intuitive implications. First, it suggests that, in the short run, FDI could be beneficial especially to increase the level of investment in the country, which (by multiplier effect) leads to increase in employment, income, savings, and by extension, sustainable growth. Second, in the long run, it indicates that FDI (by itself) although necessary cannot sufficiently guarantee sustainable economic growth. As such, for FDI-growth driven to materialise, a myriad of factors (e.g., sound macroeconomic policies that promote productive investment) are critical for FDI productivity to spill over into the whole economy of the recipient countries. The result is consistent with the findings of Kohpaiboon (2003), Adams (2009a, 2009b), Sakyi et al. (2015) and Raza et al. (2021). However, it contradicts the findings of Ahmad and Hamdani (2003), Herzer (2012) and Yusuf et al. (2020).
Finally, to ascertain that the chosen model is fit and appropriate for the empirical analysis, results of R-squared (a statistical measure of the proportion of variation in the endogenous variable explained by exogenous variables collectively), adjusted R-squared (a goodness-of-fit model accuracy measure), F-statistic (measure of an overall significance of the estimated model) and Durbin–Watson statistic (a test statistic employed to detect autocorrelation) are provided in panel C of Table 8. Furthermore, several diagnostic tests (presented in panel D of Table 8 and Figures 2 and 3) were carried out to establish the robustness and reliability of the selected ARDL model and the stability of the estimated coefficients. Results of the analyses revealed that the selected model and the estimates possess the apt best linear unbiased estimator properties.


Innovative Accounting Techniques
Thus far, the empirical analysis has been restricted to the in-sample tests. In order to provide further insight into which of the margin is more beneficial for sustainable economic growth beyond the sample period, IRFs and FEVD were applied. In doing so, we employed an augmented/overfitted multivariate vector autoregressive (VAR) framework, advanced by Toda and Yamamoto (1995) and Dolado and Lutkepohl (1996), to model the joint dynamics and causal relationship among the variables. The approach is preferred over other possible techniques for two reasons. First, the procedure is apt irrespective of the degree of integration (Guru-Gharana, 2012) or cointegration present in the system. Second, unlike other procedures (VAR model in the level/first-differenced data and vector error correction model), the method provides more robust and asymptotically reliable results (Guru-Gharana, 2012). Thus, following Guru-Gharana (2012), the Toda-Yamamoto-Dolado-Lutkepohl (TYDL)-augmented VAR representation of Equation (19) for the current study is expressed as follows:
where p denotes the true lag length of 2 (ascertained by Akaike and Schwarz information criteria); dmax depicts the maximum order of integration 1 (determined by ADF and PP); uit represents the residuals {for θ = 1, …, 8}; and δ's, Φ's, φ's, η's, π's, ν's, ν's, and ψ's, signify the parameters. Other variables are as defined earlier.
Therefore, to implement the TYDL procedure, we first estimated the augmented VAR model in Equation (21) of order three using seemingly unrelated regression technique, and carried out the VAR Granger Causality/Block Exogeneity Wald test at 5% significance level. However, the Wald test result is not presented here to retain brevity. Nevertheless, it is available upon request. Afterwards, from the estimated model in Equation (21), FEVD and IRFs of sustainable growth over 10 years were conducted using Cholesky decomposition. The results of FEVD and IRFs, respectively, are depicted in Table 9 and Figure 5. Importantly, to retain conciseness, the FEVD of growth and the responses of growth to innovations in intensive and extensive margins are reported. Moreover, numerous diagnostic and stability checks were carried out to ascertain the appropriateness and reliability of the VAR model as well as the robustness of the estimated results. First, to establish the stability condition of the model in Equation (21), we employed the graph of AR inverse root of the VAR (presented in Figure 4). As the figure shows, all polynomial roots fall inside the unit circle, signifying that the model is stable. Afterward, autocorrelation, heteroskedasticity and non-normality tests were conducted. Estimated results suggest that the model’s residual is serially uncorrelated, homoscedastic and normally distributed. The results, however, are not presented here to maintain conciseness. Nonetheless, they are available upon request.
Forecast Error Variance Decomposition of Economic Growth.
Cholesky Ordering: lnY lnK lnH lnI lnE dlnX lnT lnM


Forecast Error Variance Decomposition of Growth
An insight into FEVDs of sustainable growth results presented in Table 9 revealed that own shock had the greatest impact. As the table illustrates, in the first year, the percentage was as high as 100% but slowly declined to 54.86% in tenth year. Aside own shock, extensive margin shock was second most important source of variation in sustainable growth. It grew from approximately 3.69 to 22.90% in second- and tenth-year respectively. This was followed by proportional contribution of intensive margin. It accounted for nearly 1.98% in second year but increased progressively to 16.35% in seventh year. However, it marginally decreased to 15.30% in tenth-year. The magnitude of the effects of other five regressors was quite minimal. The largest was by exchange rate, which contributed 1.66 to 3.93% respectively in the fifth-period and tenth-period. The next was openness, followed by human and physical capital (which were close in significance). FDI had the least contribution and virtually stable within the forecast horizons except for first, third and fourth, year.
Impulse Response Function of Sustainable Growth
Starting with the response of sustainable growth to shock caused by the intensive margin, the first notable impact (positive effect) on growth occurred after year 1. The effect peak is reached during the fourth year. However, it fell slightly from year 5 but remained positive up to the tenth year. As for the response of sustainable economic growth to the extensive margin, a 1 standard innovation shock in the margin only affects growth after the first year. The effect, as is the case in the intensive margin, peaks during the fourth year and falls marginally from year 5 but remains positive till the tenth-year period. The difference, however, is that the positive effect of the extensive margin is stronger as compared to the impact of intensive margin innovations. Overall, the results tend to confirm the conclusions found in ARDL and FEVD analyses.
Conclusion and Policy Implications
With Nigeria as a reference country, over the period 1960–2021, the study employs ARDL cointegration technique and innovative accounting procedures to empirically investigate whether intensive margin or extensive margin of export diversification is more useful towards promoting sustainable economic growth. The ARDL results reveal that both margins significantly enhance growth in the long run and short run. However, importance of the extensive margin, in the aggregate, dominates over the intensive margin. Similarly, the results from innovative accounting procedures reveal that although both margins contribute positively to growth, the contribution of the extensive margin to growth dominates over that of intensive margin.
These findings have two important policy implications for Nigeria. First, to realise the potential benefits inherent in product and geographic diversification (extensive margin) of Nigeria’s exports, economic policies and programmes aimed at enhancing exports of value-added commodities—due to their relatively high income and price elasticities over primary commodities—should be designed and implemented. Importantly, extant policies and initiatives (such as the Nigerian Industrial Revolution Plan of 2014) should be reviewed and strengthened, with a view to aligning the provisions with current economic realities, global aspirations and economic diversification. Second, there is a need to reassess the country’s export and trade policy with a view to identifying the best route to structural transformation and also tailor the policy to achieve the desired intensive and extensive margins of diversification. Experiences of China, Singapore, Malaysia, and South Korea provide very clear evidence.
One of the major limitations of time series analysis is the fact it is difficult to capture all variables influencing a particular variable of interest. Given that the study employed time series analysis, it bears the same limitation. Indeed, apart from physical capital stocks, human capital index, intensive margin, extensive margin, exchange rate, openness to trade and FDI inflow, there are several factors affecting sustainable economic growth. These include among others real effective exchange rate and current account balance variables. Hence, it would be of interest to find out the contribution of these variables as essential determinants of growth which is beyond the scope of the current study.
Finally, for future research, other areas of useful extension of the current study would be to investigate the interaction effects (of both margins) and the factors that drive diversification at both margins. This will provide not only the intuitive insights into what underpin the positive growth effects of diversification but also the channels through which both margins enhance economic growth.
Footnotes
Declaration of Conflicting Interests
The author declared no potential conflicts of interest with respect to the research, authorship and/or publication of this article.
Funding
The author received no financial support for the research, authorship and/or publication of this article.
