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Technical efficiency in beef cattle production in 
Botswana: a stochastic metafrontier approach 
Sirak Bahta 
Tropentag 2014: Bridging the gap between increasing knowledge 
Sirak Bahta 
and decreasing resources, Prague, 17−19 September 2014 
International Livestock Research Institute (ILRI)
Outline 
 Background 
 Objective of the study 
 Literature Review 
 Data and Methodological Approach 
 Results and discussion 
 Conclusion and Policy Implications
Background 
Agriculture in Botswana: 
 The main source of income and employment in Rural 
areas (42.6 percent of the total population) 
 30 percent of the country’s employment 
 More than 80 percent of the sector’s GDP is from 
livestock production 
 Cattle production is the only source of agricultural 
exports
Cont. Background 
(Cont.) 
 Beef is dominant within the Botswana livestock 
sector 
3
Background 
3,060 
1,788 
(Cont.) 
2,247 
3500 
3000 
2500 
2000 
1500 
1000 
500 
0 
'000 
Commercial 
Traditional 
 Dualistic structure of production, with communal dominating 
Cattle population 
4
Background 
(Cont.) 
 Despite the numerical dominance , productivity is low esp. in 
the communal/traditional sector 
5 
Sales 
0.18 
0.15 
0.12 
0.09 
0.06 
0.03 
0 
Home Slaughter 
Deaths 
GivenAway 
Eradication 
Losses 
Commercial 
Traditional
Background 
 Growing domestic beef demand and on-going 
shortage of beef for export: 
 In recent years beef export has been declining 
sharply (e.g. from 86 percent of beef export quota 
in 2001 to 34 percent in 2007 (IFPRI, 2013 )) 
 Problems in production and marketing into export 
channels 
• High transaction costs 
• Farmers’ preferences for keeping animals to an 
advanced age 
• Lack of understanding of the various markets’ quality 
requirements 
(Cont.) 
6
Objective of the study 
• To derive a statistical measure of Technical 
efficiency of different smallholder farm types 
More specifically: 
• To measure farm-specific TE in different farm 
types 
• To measure technology-related variations in TE 
between different farm types 
• To analyse the determinants of farmers’ TE 
• Come up with policy recommendations to 
improve competitiveness of beef production 
7
Literature review (cont..) 
Measuring efficiency: potential input reduction or potential output 
increase relative to a reference (Latruffe, 2010). 
Technically defined by non-parametric and parametric methods 
The non-parametric approach uses mathematical programming 
techniques –Data envelope analysis (DEA) 
The parametrical analysis of efficiency uses econometric 
techniques to estimate a frontier function - Stochastic frontier 
analysis (SFA) 
8
Literature review (cont..) 
Technological differences 
The stochastic frontier allows comparison of farms operating with 
similar technologies. 
However, farms in different environments (e.g., production systems) 
do not always have access to the same technology. Assuming similar 
technologies when they actually differ across farms might result in 
erroneous measurement of efficiency by mixing 
technological differences with technology-specific inefficiency 
(Tsionas, 2002). 
Various alternatives have been proposed to account for differences 
in technology and production environment. 
9
Literature review (cont..) 
Metafrontier 
This technique is preferred in the present study because : 
- Enables estimation of technology gaps for different 
groups 
- Accommodates both cross-sectional and panel data 
The stochastic metafrontier estimation involves first 
fitting individual stochastic frontiers for separate groups 
and then optimising them jointly through an LP or QP 
approach. 
- It captures the highest output attainable, given input (x) 
and common technology. 
10
Literature review (Cont..) 
Figure 1: Metafrontier illustration 
Source: Adapted from Battese et al. (2004). 
11
Data and Methodological Approach 
Study Area 
• Household data, collected by survey 
• More than 600 observations (for this study classified by farm types) 
12
Data and Methodological Approach 
- Stochastic frontier analysis (Frontier 4.0) 
- Linear Programing (SHAZAM) 
- Bootstrapping to derive standard deviations of 
metafrontiers (SHAZAM) 
- Tobit (TE effects)- STATA 
13
Results and discussion 
Production function estimates 
Table1: Production function estimates 
Variable 
Pooled Stochastic 
frontier Metafrontier 
Constant (β0 ) 7.04** 7.62*** 
0.188 0.010 
Feed Equivalents(β1 ) 0.22** 0.022*** 
0.009 0.001 
Veterinary costs(β2 ) 0.106*** 0.75*** 
0.019 0.002 
Divisia index (β3 ) 0.091*** 0.003*** 
0.013 0.000 
Labour (β4 ) 0.31** 0.008*** 
0.015 0.001 
Land(β5 ) 0.291*** 0.315*** 
0.058 0.050 
σ2 0.473*** 
0.03 
ϒ 0.987*** 
Log likelihood -529.73 440.75 
14
39% 
75% 76% 79% 77% 
45% 
49% 
45% 
80% 
75% 
70% 
65% 
60% 
55% 
50% 
45% 
40% 
35% 
30% 
Cattle Farms Cattle & crop 
farms 
Cattle, Samll 
Stcok & crop 
farms 
All farms 
TE wrt 
metafrontiier 
Meta-technology 
ratio 
a 
a 
a 
b c 
b 
Per cent 
Results and discussion 
Technology ratio and TE wrt to meta frontier 
Table 1: Technical efficiency and meta-technology ratios 
15
70% 
60% 
50% 
40% 
30% 
20% 
10% 
0% 
all sample 
catle 
cattle-crop 
cattle- crop-small stock 
<0.2 0.2-0.4 0.4-0.6 0.6-0.8 0.8-1 1 
Per cent 
Results and discussion 
TE wrt to meta frontier distribution 
16
Results 
Ddeterminants of technical efficiency 
Table2: Determinants of technical efficiency 
SFA Tobit 
Variables Coefficient St Dev Coefficient St Dev 
constant 3.71*** 0.250 0.446 0.030 
Herd size -0.031*** 0.001 0.001*** 0.000 
Indigenous breed 0.164* 0.094 -0.007 0.012 
Agricultural information 0.045 0.079 -0.011 0.010 
Access to vet services 0.047 0.098 0.024* 0.013 
Age -0.005*** 0.002 0.001*** 0.000 
Share sold to BMC -0.083 0.155 0.045** 0.020 
Controlled breeding method -0.298* 0.178 0.039* 0.024 
FMD region -0.019 0.072 -0.003 0.010 
Non farm income -0.012 0.009 0.003* 0.002 
Distance to market 0.043 0.033 -0.008* 0.005 
Crop land size -0.101* 0.058 -0.007 0.005 
Income X education -0.002* 0.001 
17
Conclusion and policy implications 
- The majority of farmers use available technology 
sub-optimally and produce far less than the 
potential output; average MTR is 0.77 and TE is 0.45 
. 
- Controlled cattle breeding method, access to Vet 
services and market contract (BMC), off-farm 
income, herd size and farmers’ age all contribute 
positively to efficiency. 
- On the contrary, distance to markets and income 
and formal education did not have a favorable 
influence on efficiency. 
18
Conclusion and policy implications 
19 
- It is important to provide relevant livestock extension 
and other support services that would facilitate better 
use of available technology by the majority of farmers 
who currently produce sub-optimally. 
- Necessary interventions, for instance, would include 
improving farmers’ access to appropriate knowledge on 
cattle feeding methods and alternative feeds. 
- Provision of relatively better technology (e.g., locally 
adaptable and affordable cattle breeds and breeding 
programmes).
Conclusion and policy implications 
- Access to market services, including contract 
opportunities with BMC. 
- Provide appropriate training/education services 
that enhance farmers’ management practices, 
and/or encourage them to employ skilled farm 
managers. 
- Policies that promote diversification of 
enterprises, including creation of off-farm 
income opportunities would also contribute to 
improving efficiency among Botswana beef 
farmers. 
20
better lives through livestock 
ilri.org 
The presentation has a Creative Commons licence. You are free to re-use or distribute this work, provided credit is given to ILRI.
Export of beef from Botswana (2000-2011) 
180000 
160000 
140000 
120000 
100000 
80000 
60000 
40000 
20000 
0 
2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 
Quantity (tonnes) 
Value (1000 $)

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Technical efficiency in beef cattle production in Botswana: a stochastic metafrontier approach

  • 1. Technical efficiency in beef cattle production in Botswana: a stochastic metafrontier approach Sirak Bahta Tropentag 2014: Bridging the gap between increasing knowledge Sirak Bahta and decreasing resources, Prague, 17−19 September 2014 International Livestock Research Institute (ILRI)
  • 2. Outline  Background  Objective of the study  Literature Review  Data and Methodological Approach  Results and discussion  Conclusion and Policy Implications
  • 3. Background Agriculture in Botswana:  The main source of income and employment in Rural areas (42.6 percent of the total population)  30 percent of the country’s employment  More than 80 percent of the sector’s GDP is from livestock production  Cattle production is the only source of agricultural exports
  • 4. Cont. Background (Cont.)  Beef is dominant within the Botswana livestock sector 3
  • 5. Background 3,060 1,788 (Cont.) 2,247 3500 3000 2500 2000 1500 1000 500 0 '000 Commercial Traditional  Dualistic structure of production, with communal dominating Cattle population 4
  • 6. Background (Cont.)  Despite the numerical dominance , productivity is low esp. in the communal/traditional sector 5 Sales 0.18 0.15 0.12 0.09 0.06 0.03 0 Home Slaughter Deaths GivenAway Eradication Losses Commercial Traditional
  • 7. Background  Growing domestic beef demand and on-going shortage of beef for export:  In recent years beef export has been declining sharply (e.g. from 86 percent of beef export quota in 2001 to 34 percent in 2007 (IFPRI, 2013 ))  Problems in production and marketing into export channels • High transaction costs • Farmers’ preferences for keeping animals to an advanced age • Lack of understanding of the various markets’ quality requirements (Cont.) 6
  • 8. Objective of the study • To derive a statistical measure of Technical efficiency of different smallholder farm types More specifically: • To measure farm-specific TE in different farm types • To measure technology-related variations in TE between different farm types • To analyse the determinants of farmers’ TE • Come up with policy recommendations to improve competitiveness of beef production 7
  • 9. Literature review (cont..) Measuring efficiency: potential input reduction or potential output increase relative to a reference (Latruffe, 2010). Technically defined by non-parametric and parametric methods The non-parametric approach uses mathematical programming techniques –Data envelope analysis (DEA) The parametrical analysis of efficiency uses econometric techniques to estimate a frontier function - Stochastic frontier analysis (SFA) 8
  • 10. Literature review (cont..) Technological differences The stochastic frontier allows comparison of farms operating with similar technologies. However, farms in different environments (e.g., production systems) do not always have access to the same technology. Assuming similar technologies when they actually differ across farms might result in erroneous measurement of efficiency by mixing technological differences with technology-specific inefficiency (Tsionas, 2002). Various alternatives have been proposed to account for differences in technology and production environment. 9
  • 11. Literature review (cont..) Metafrontier This technique is preferred in the present study because : - Enables estimation of technology gaps for different groups - Accommodates both cross-sectional and panel data The stochastic metafrontier estimation involves first fitting individual stochastic frontiers for separate groups and then optimising them jointly through an LP or QP approach. - It captures the highest output attainable, given input (x) and common technology. 10
  • 12. Literature review (Cont..) Figure 1: Metafrontier illustration Source: Adapted from Battese et al. (2004). 11
  • 13. Data and Methodological Approach Study Area • Household data, collected by survey • More than 600 observations (for this study classified by farm types) 12
  • 14. Data and Methodological Approach - Stochastic frontier analysis (Frontier 4.0) - Linear Programing (SHAZAM) - Bootstrapping to derive standard deviations of metafrontiers (SHAZAM) - Tobit (TE effects)- STATA 13
  • 15. Results and discussion Production function estimates Table1: Production function estimates Variable Pooled Stochastic frontier Metafrontier Constant (β0 ) 7.04** 7.62*** 0.188 0.010 Feed Equivalents(β1 ) 0.22** 0.022*** 0.009 0.001 Veterinary costs(β2 ) 0.106*** 0.75*** 0.019 0.002 Divisia index (β3 ) 0.091*** 0.003*** 0.013 0.000 Labour (β4 ) 0.31** 0.008*** 0.015 0.001 Land(β5 ) 0.291*** 0.315*** 0.058 0.050 σ2 0.473*** 0.03 ϒ 0.987*** Log likelihood -529.73 440.75 14
  • 16. 39% 75% 76% 79% 77% 45% 49% 45% 80% 75% 70% 65% 60% 55% 50% 45% 40% 35% 30% Cattle Farms Cattle & crop farms Cattle, Samll Stcok & crop farms All farms TE wrt metafrontiier Meta-technology ratio a a a b c b Per cent Results and discussion Technology ratio and TE wrt to meta frontier Table 1: Technical efficiency and meta-technology ratios 15
  • 17. 70% 60% 50% 40% 30% 20% 10% 0% all sample catle cattle-crop cattle- crop-small stock <0.2 0.2-0.4 0.4-0.6 0.6-0.8 0.8-1 1 Per cent Results and discussion TE wrt to meta frontier distribution 16
  • 18. Results Ddeterminants of technical efficiency Table2: Determinants of technical efficiency SFA Tobit Variables Coefficient St Dev Coefficient St Dev constant 3.71*** 0.250 0.446 0.030 Herd size -0.031*** 0.001 0.001*** 0.000 Indigenous breed 0.164* 0.094 -0.007 0.012 Agricultural information 0.045 0.079 -0.011 0.010 Access to vet services 0.047 0.098 0.024* 0.013 Age -0.005*** 0.002 0.001*** 0.000 Share sold to BMC -0.083 0.155 0.045** 0.020 Controlled breeding method -0.298* 0.178 0.039* 0.024 FMD region -0.019 0.072 -0.003 0.010 Non farm income -0.012 0.009 0.003* 0.002 Distance to market 0.043 0.033 -0.008* 0.005 Crop land size -0.101* 0.058 -0.007 0.005 Income X education -0.002* 0.001 17
  • 19. Conclusion and policy implications - The majority of farmers use available technology sub-optimally and produce far less than the potential output; average MTR is 0.77 and TE is 0.45 . - Controlled cattle breeding method, access to Vet services and market contract (BMC), off-farm income, herd size and farmers’ age all contribute positively to efficiency. - On the contrary, distance to markets and income and formal education did not have a favorable influence on efficiency. 18
  • 20. Conclusion and policy implications 19 - It is important to provide relevant livestock extension and other support services that would facilitate better use of available technology by the majority of farmers who currently produce sub-optimally. - Necessary interventions, for instance, would include improving farmers’ access to appropriate knowledge on cattle feeding methods and alternative feeds. - Provision of relatively better technology (e.g., locally adaptable and affordable cattle breeds and breeding programmes).
  • 21. Conclusion and policy implications - Access to market services, including contract opportunities with BMC. - Provide appropriate training/education services that enhance farmers’ management practices, and/or encourage them to employ skilled farm managers. - Policies that promote diversification of enterprises, including creation of off-farm income opportunities would also contribute to improving efficiency among Botswana beef farmers. 20
  • 22. better lives through livestock ilri.org The presentation has a Creative Commons licence. You are free to re-use or distribute this work, provided credit is given to ILRI.
  • 23. Export of beef from Botswana (2000-2011) 180000 160000 140000 120000 100000 80000 60000 40000 20000 0 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 Quantity (tonnes) Value (1000 $)

Hinweis der Redaktion

  1. Agricultural contribution to GDP is about 2-3%.
  2. Not clear as to whether beef production is competitive Studies have relied on household budget analysis and limited household data Others have concentrated on productivity of agriculture
  3. Methods to address technology differences in efficiency estimation Continuous parameters method Bayesian stochastic frontiers that - assess the influence of exogenous factors on either the production function or inefficiency component (Van den Broeck et al. ,1994; and Koop et al. ,1997) Nonparametric stochastic frontier Nonparametric stochastic frontier based on local maximum likelihood approach (Kumbhakar et al. , 2007) ). Predetermined sample classification Classifying the data into various groups based on a priori information, and then separate frontiers are estimated for each group.   Latent class stochastic frontier  Uses of latent variable theory to classify the data into segments or groups, and then estimate a frontier for each group in one stage.   Metafrontier Proposed by Battese et al. (2004) and estimated by specifying a single data generating process, which explains deviations between observed outputs and the maximum possible explained output levels in the group frontiers
  4. The metafrontier function captures the highest possible output level (y) attainable, given the input (x) and common technology in the industry (Figure 1). Output levels for producers who are efficient both in respective group frontiers (e.g., frontier 1) and in the entire industry lie on the metafrontier. Frontiers 2 and 3 fall below the metafrontier; this implies that they represent efficient production in the groups/production systems, but not so for the industry.
  5. Consistent with assumed producer rationality, the estimated input parameters are all positive and the elasticities fulfil the regularity condition of monotonicity which implies the production frontiers are non-decreasing in inputs. That is an increase in the application of any of the inputs would significantly increase output.
  6. The TE with respect to metafrontier show that those farms who have cattle, small stock and crop are relatively more efficient than the others and there is significant difference among the farm types in terms of efficiency. TE 45% for the pooled sample indicates This indicates that there is a considerable scope to improve beef farm technical efficiency under the prevailing input mix and production technology among beef cattle producers in Botswana. As you can see The mean MTR in the pooled sample is 0.77, implying that, on average beef farmers in Botswana produce 77 percent of the maximum potential output achievable from the available technology (crossbreed cattle). Further, 98 percent of farmers across the three production systems have MTR estimates below 1, indicating that they use the available technology suboptimally. Perhaps due to low adoption of technologies.
  7. Change to MTR