Abstract
Urban household food insecurity continues to be a major problem in many urban households of Sub-Saharan Africa. The ineffectiveness of policies addressing the problem has hinged in particular on the paucity of information about consumption patterns under changing economic conditions. Elasticities of food demand were estimated through the Linear Approximated Almost Ideal Demand System (LA/AIDS) and inferences about access to food were drawn. Shifts in consumption were evident when changes occurred in income, prices and household demography. As the urban poor are sensitive to variation in food prices and income, they should be cushioned against their negative effects in order for their access to food to be enhanced and hence their food security improved. Dairy and dairy products and wheat and wheat products were identified as subsidy carriers which would improve the nutrition of the urban poor. These results provide guidance for the design of food security and nutrition strategies and programs at the micro and macro-economic levels.
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Notes
In this study we also don’t test the separability of the categories. Sellen and Goddard 1997 cite studies in which the assumption of separability has been tested. The assumption, although used and theoretically plausible has been rejected in most studies (Pudney 1981 in Sellen and Goddard 1997). Further discussion on the issue of separability can be found in LaFrance (1991) and Edgerton (1993).
In the two step approach, the system of demand is estimated as conditional to purchases. A probit model is estimated for purchases and non-purchases in every equation, except the deleted equation and from the coefficients of the probit and Inverse Mills Ratio which corrects for the selection bias is used as an instrument in the system. The IMR (Φ) for a nonzero budget share household was derived as; \( {\Phi_{ih}} = \frac{{\theta (Z)}}{{\Theta (Z)}} \), While for the zero budget share households was derived as \( {\Phi_{ih}} = \frac{{\theta (Z)}}{{1 - \Theta (Z)}} \), Where θ and Θ are the standard normal density (pdf) and cumulative density (cdf) as defined by the probit independent variables. The inverse Mill’s ratio was then used in estimation of equation (4) as an instrument in the respective equations of the system.
Adding-up, \( \mathop \Sigma \limits_{i = 1}^n {\rho_{io}} = 1;\;\mathop \Sigma \limits_{i = 1}^n {\beta_{ij}} = 0;\;\mathop \Sigma \limits_{i = 1}^n {\gamma_i} = 0\;and\;\sum\limits_{k = 1}^s {{\rho_{ik}} = 0} \); Homogeneity \( \mathop \Sigma \limits_j {\beta_{ij}} = 0. \); and Symmetry \( {\beta_{ij}} = {\beta_{ji}} \).
Hayes et.al 1990 estimated LA/AIDS elasticities as (5) \( {\varepsilon_{ii}} = - 1 + \frac{{{\beta_{ii}}}}{{{w_i}}} - {\gamma_i} \) (6) \( {\varepsilon_{ij}} = \frac{{{\beta_{ij}}}}{{{w_i}}} - {\gamma_i}\frac{{{w_j}}}{{{w_i}}} \).(7) \( {\delta_{ii}} = - 1 + \frac{{{\beta_{ii}}}}{{{w_i}}} + {w_i} \) (8) \( {\delta_{ij}} = \frac{{{\beta_{ij}}}}{{{w_i}}} + {w_j} \) and expenditure elasticity as \( {\eta_i} = 1 + \frac{{{\gamma_i}}}{{{w_i}}} \).
\( \mathop \delta \nolimits_{ij}^h = \mathop \varepsilon \nolimits_{ij}^m + {w_j}{\eta_i} \) for cross elasticities and \( \delta_{ii}^h = \varepsilon_{ii}^m + {w_i}{\eta_i} \) for own elasticities
A detailed sampling procedure can be found in Musyoka et al. (2009).
Unit values are used when the actual market prices are not collected in the survey. Sometimes unit values may underestimate the actual value/price of the unit item especially when economies of scale exist due to bulk selling and buying
This is a mixture of boiled maize and beans or any other leguminous complement. Often in some tribes like the Kikuyu it is mashed with potatoes.
Disaggregated coefficients between the poor and non-poor categories are available on request.
Ugali is a local food made from mixture of maize flour and water
Empirical studies on demand in Africa are scant and the few published differ in methodological approach besides the categorization and aggregation of agricultural products. This makes it difficult to have meaningful comparisons of results
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Appendix
Appendix
Appendix 1. Coefficients on maximum likelihood estimations of the share equations (demographic effects)
Expenditure category | Rel | Ic | hg | hl | hb | ha | hs | f2 | f3 | M2 | M3 | Mf4 | Mf1 | Mills ratio |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Sifted flour (sp) | −0.0074 | −0.0045 | −0.0050 | −0.0029 | −0.0082 | 0.0000 | 0.0970b | −0.0969b | −0.0913b | −0.0964b | −0.0964b | −0.1032b | −0.0997b | −0.0011 |
(0.451) | (0.429) | (0.459) | (0.715) | (0.286) | (0.992) | (0.022) | (0.023) | (0.031) | (0.024) | (0.025) | (0.015) | (0.019) | (0.709) | |
Posho (sm) | −0.0112c | 0.0010 | −0.0019 | −0.0019 | −0.0001 | 0.0002 | 0.0038 | −0.0032 | −0.0040 | −0.0042 | −0.0031 | −0.0044 | −0.0025 | −0.0024 |
(0.082) | (0.715) | (0.566) | (0.641) | (0.975) | (0.283) | (0.861) | (0.884) | (0.854) | (0.848) | (0.887) | (0.839) | (0.908) | (0.007) | |
Dairy & products (sd) | −0.1189a | −0.0160b | −0.0008 | 0.0159 | −0.0068 | 0.0002 | −0.1416b | 0.1333b | 0.1504a | 0.1312b | 0.1374b | 0.1511a | 0.1364b | 0.0040 |
(0.000) | (0.036) | (0.927) | (0.131) | (0.511) | (0.547) | (0.013) | (0.020) | (0.008) | (0.022) | (0.018) | (0.008) | (0.017) | (0.263) | |
Vegetables (sv) | 0.0278b | −0.0024 | −0.0060 | −0.0089 | −0.0042 | 0.0000 | 0.0081 | −0.0087 | −0.0135 | −0.0042 | −0.0060 | −0.0101 | −0.0085 | −0.0044 |
(0.020) | (0.728) | (0.473) | (0.348) | (0.655) | (0.958) | (0.876) | (0.868) | (0.794) | (0.936) | (0.909) | (0.846) | (0.870) | (0.495) | |
Fruits (sf) | 0.0183c | 0.0075 | 0.0060 | −0.0040 | 0.0113 | −0.0003 | −0.0113 | 0.0187 | 0.0085 | 0.0055 | 0.0069 | 0.0179 | 0.0065 | −0.0047 |
(0.091) | (0.228) | (0.427) | (0.642) | (0.183) | (0.368) | (0.808) | (0.690) | (0.856) | (0.908) | (0.885) | (0.702) | (0.889) | (0.380) | |
Sugar (ss) | 0.0002 | 0.0018 | 0.0035 | 0.0000 | 0.0007 | 0.0000 | 0.0537c | −0.0496c | −0.0572b | −0.0543c | −0.0521c | −0.0532c | −0.0500c | 0.0056 |
(0.973) | (0.629) | (0.438) | (0.998) | (0.889) | (0.898) | (0.057) | (0.081) | (0.042) | (0.056) | (0.069) | (0.061) | (0.078) | (0.102) | |
Maize (sz) | 0.0091 | 0.0071b | 0.0008 | −0.0097b | −0.0082c | −0.0001 | 0.0096 | −0.0075 | −0.0077 | −0.0013 | −0.0068 | −0.0063 | −0.0033 | 0.0061c |
(0.117) | (0.034) | (0.842) | (0.034) | (0.067) | (0.466) | (0.699) | (0.763) | (0.757) | (0.958) | (0.788) | (0.799) | (0.894) | (0.064) | |
Poultry (sc) | 0.0532a | 0.0003 | −0.0086 | 0.0021 | 0.0020 | 0.0002 | −0.0279 | 0.0261 | 0.0248 | 0.0268 | 0.0290 | 0.0240 | 0.0278 | 0.0097a |
(0.000) | (0.960) | (0.181) | (0.771) | (0.778) | (0.573) | (0.481) | (0.513) | (0.530) | (0.502) | (0.471) | (0.546) | (0.484) | (0.009) | |
Beef & Products(sb) | 0.0495a | 0.0126c | −0.0015 | 0.0078 | 0.0137 | 0.0000 | 0.0506 | −0.0541 | −0.0531 | −0.0411 | −0.0481 | −0.0643 | −0.0497 | −0.0042 |
(0.000) | (0.075) | (0.857) | (0.423) | (0.153) | (0.950) | (0.337) | (0.308) | (0.313) | (0.438) | (0.368) | (0.224) | (0.348) | (0.250) | |
Wheat & Products(sw) | −0.0205b | −0.0013 | 0.0066 | 0.0048 | 0.0062 | −0.0002 | 0.0017 | −0.0030 | −0.0004 | −0.0006 | −0.0034 | −0.0027 | 0.0007 | −0.0088c |
(0.013) | (0.783) | (0.251) | (0.462) | (0.334) | (0.501) | (0.962) | (0.934) | (0.992) | (0.988) | (0.925) | (0.941) | (0.985) | (0.056) | |
Rice (sr) | −0.0042 | −0.0022 | 0.0052 | −0.0026 | −0.0051 | 0.0002 | −0.0367 | 0.0382 | 0.0366 | 0.0319 | 0.0369 | 0.0438 | 0.0370 | 0.0040 |
(0.542) | (0.585) | (0.274) | (0.638) | (0.339) | (0.437) | (0.214) | (0.198) | (0.214) | (0.283) | (0.217) | (0.139) | (0.211) | (0.260) |
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Musyoka, M.P., Lagat, J.K., Ouma, D.E. et al. Structure and properties of urban household food demand in Nairobi, Kenya: implications for urban food security. Food Sec. 2, 179–193 (2010). https://doi.org/10.1007/s12571-010-0063-6
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DOI: https://doi.org/10.1007/s12571-010-0063-6