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DISENTANGLING THE SOURCES OF
             GROWTH.
Land, Labor, Fertilizer, Tractor, Research, Extension…… what are their
          exact contributions to agricultural growth in Africa:
                         Lesson from macro-data.




                          Guy B. Nkamleu
African growth tragedy
• Africa’s growth performance continues to
  challenge our understanding.
   – With the African population expected to grow at 2.8% per annum, simply
     preventing an increase in the number of Africa’s absolute poor will
     require an annual growth of at least 5%, almost twice the level achieved
     since 1973.



• Growth in agriculture, particularly in Africa, has
  been strongly tied to overall economic growth
  and poverty reduction
   – Recent studies show that for African countries, a 10% increase in
     agricultural yield leads to a 9% decrease in the percentage of those
     living on less than US $1.00 a day.
African growth tragedy
• Why some countries achieve rapid economic
  growth and some other countries experience
  stagnation and even economic regression ?
  – This has led researchers to examine the main sources of growth for
    different countries and regions of the world.




• Efforts to understand that should be to first,
  explore the driving forces of economic growth…….
  In the case of Africa, attention should focus on
  sources and driving forces of agricultural growth.
• AIMS: Investigate sources and
  determinants of agricultural growth in
  Africa.

  – The focus is on quantifying:
    • how much growth in agricultural output is associated
      with growth in physical capital,
    • how much is due to technology,
    • how much is due to productivity improvement,
    • how much is due to institutional change and other
      factors.
Potential sources of Ag. Growth
   Land


Chemical inputs
                                                    What
                                                    drive
                                                    me ?
Labor Quantity

Labor Quality       Extension
                                         Agricultura
                                           l Growth
  Tractors

  Livestock



  Technology

Random factors
Data Used

Panel Data (1970-2000) on the agricultural sector of each
  country…. (FAOSTAT).



 These data included:
 • value of the Agricultural production,

 • agricultural labor,

 • number of tractors in use,

 •   quantity of fertilizer used,

 •   agricultural land,

 • number of livestock in sheep-equivalent.
Data: Sampled Countries
• Top 26 African agricultural producers (except South Africa Republic)


                                      Morocco                  Tunisia



                                           Algeria
                                                                                          Egypt




                                           Mali
                                                       Niger
                   Senegal                                                Chad
                                           Burkina                                        Sudan
                                           Faso
                             Guinea                  Nigeria
                                      Ivory Ghana
                                      coast                    Cameroon


                                                                                                  Uganda
                                                                                                           Kenya                Rwanda
                                                                               DR Congo

                                                                                                      Tanzania                  Burundi



                                                                                                  Malawi
                                                                          Angola
                                                                                                                   Madagascar

                                                                                                      Mozambique
                                                                                          Zimbabwe
Visualisation

          Y(Output)

                                              Frontier 2

     P4                                A1



                                            Frontier 1


P2
                           B



P1                         A




                                                           X (Input)
                      X1          X2
break down the growth rate in neo-classical production function

    •    We first consider the following Solow neo-classical production function:


                       ln Qit      f ( xitj , t; )       it             i    1 ,.....,n
                                                                        t 1 ,.....,T
                                                                         j 1 ,.....,J

•       Growth accounting analysis generally assumes that the residual of this production
        function captures total factor productivity (TFP) growth. The break down of the growth
        rate of the aggregate output is given by.

                                          Q it           itj   x itj TFPit
                                                     j


                                                                                            Xt        Xt   1
•       Where dots over variables indicate rate of change                          Xt
                                                                                                 Xt   1


                                                                                             f ( x, t ; )
•       and αitj is the output elasticity of input j, for country i in                  j
                                                                                                  xj
        time t.
TFP derivation: Malmquist Index Method
                                                          t
                                                       d 0 yt , xt
                                                                      VRS is assumed   B
                                                       d 0s ys , xs
                                                                                           Pure Technical
                                                                                             Efficiency
   t
d 0 yt , xt
               CRS is assumed           A
d 0s ys , xs
                                                                      Efficiency
                                                                       Growth

                                                                                               Scale
                                                                                             Efficiency

Agricultural                            Productivity
  Growth                                  Growth                                       A
                                                                                       B




                                            12
                                                                      Technical
   t            s           s
d y t , xt
  0            d y t , xt d y s , x s
                0           0                                          Growth                                            12
  s
d y s , xs      t           t
               d y t , xt d y s , x s                                                      d 0s yt , xt d 0s y s , x s
  0             0           0
                                                                                              t            t
                                                                                           d 0 y t , xt d 0 y s , x s
Four distance functions to compute

   t                   1
[d 0 ( xt , y t )]                 Max            ,               ,
subjet to                           y it          Yt                       0      •   Distance from production point of t, to technology in period t
                               xit            Xt                          0'
                                             0,

[d 0 1 ( xt 1 , y t 1 )]
   t                           1
                                        Max               ,           ,
subjet to                      y i ,t   1     Yt              1               0   •   Distance from production point of t+1, to technology in period t+1
                           x i ,t   1        Xt           1                0'
                                        0,
   t                       1
[d 0 ( xt 1 , y t 1 )]              Max               ,           ,
subjet to                      y i ,t    1        Yt                      0       •   Distance from production point of t+1 to technology in period t
                           x i ,t   1         Xt                          0'
                                        0,

[d 0 1 ( xt , y t )]
   t                   1
                                   Max        ,               ,
subjet to                      y it          Yt       1                   0       •   Distance from production point of t to technology in period t+1
                           xit           Xt       1                   0'
                                        0,
Yearly agricultural growth by decade in Africa
                      (%)


   4                                           3.53
 3.5                          3.03
                                                              2.71
   3
 2.5
   2             1.43
 1.5
   1
 0.5
   0
       1971-80          1981-90      1991-00          All (1971-00)
Yearly agricultural growth by region in Africa, 1971-00
                          (%)

                                3.45
     3.5          3.24

       3                                                                 2.53
     2.5                                                   2.04
       2                                         1.68
     1.5
       1
     0.5
       0
           Northern      West          Central          East      Southern
Growth decomposition

                   Agricultural growth



      Physical                                   Unaccounted
                           Productivity            factors
       factors




                                                          Conflict,
 Land,                                                    Climate,
 Labor,             Technical    Technological            Natural
Fertilizer,         efficiency       change               disaster
Tractors,          (extension)     (research)              ……
   ….
Agricultural growth contributors, 1971-00 (%)


                  98
100
 80                               67

 60
 40
 20
  0
-20
-40
-60
                                                     -65
-80
      Physical factors   Productivity   Unaccounted factors
Agricultural growth contributors by decade                                     (%)



 150

 100

  50

    0

 -50

-100      Physical factors   Total factor productivity   Unaccounted factors
1971-80       113.88                  -45.11                    31.23
1981-90        48.33                  86.14                    -34.47
1991-00        92.04                  91.36                    -83.39
Agricultural growth contributors by region (%)

                   300
                   200
                   100
                      0
                   -100
                   -200
                   -300
                   -400     Northern   Western   Central   East     Southern
Physical factors             66.92      48.53     262.2    270.58    176.27
Total factor productivity     64.27     42.73     66.43    136.61     48.6
Unaccounted factors          -31.18     8.74     -228.64   -307.2   -124.87
Contribution of physical inputs in the agricultural
              growth, 1971-00 (%)


  60                                                  51

  50
  40
  30                      21             25

  20
  10          4

  0                                                                    -4

 -10
       Land       Labor        Tractor        Fertilizer   Livestock
Contribution of physical inputs in the agricultural
        growth by region, 1971-00 (%)

200


150


100
                                                    Land
                                                    Labor
                                                    Tractor
50                                                  Fertilizer



  0


-50
      Northern   West   Central   East   Southern
Implications for R4D
                  98
100
 80                               67

 60
 40
 20
  0
-20
-40
-60
                                                     -65
-80
      Physical factors   Productivity   Unaccounted factors
                                                              Technology
                                                                    or
                                                              Efficiency ?


     Technical                          Technological
     efficiency                             change
(research/extension)                      (research)
Technology Gap and Productivity difference in
                African Agriculture
                                                              Central Africa frontier

           Meta frontier




                                                                                        Westtern Africa frontier

Output Y                                                                         YC.A
                                                                                                                   Eastern Africa frontier


                           Northern Africa frontier




                                                      Southern Africa frontier
                                                                                             YW.A


                               YN.A
                                                                                                                             YE.A
                                                                     YS.A




                                                               Input, x

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DISENTANGLING THE SOURCES OF GROWTH

  • 1. DISENTANGLING THE SOURCES OF GROWTH. Land, Labor, Fertilizer, Tractor, Research, Extension…… what are their exact contributions to agricultural growth in Africa: Lesson from macro-data. Guy B. Nkamleu
  • 2. African growth tragedy • Africa’s growth performance continues to challenge our understanding. – With the African population expected to grow at 2.8% per annum, simply preventing an increase in the number of Africa’s absolute poor will require an annual growth of at least 5%, almost twice the level achieved since 1973. • Growth in agriculture, particularly in Africa, has been strongly tied to overall economic growth and poverty reduction – Recent studies show that for African countries, a 10% increase in agricultural yield leads to a 9% decrease in the percentage of those living on less than US $1.00 a day.
  • 3. African growth tragedy • Why some countries achieve rapid economic growth and some other countries experience stagnation and even economic regression ? – This has led researchers to examine the main sources of growth for different countries and regions of the world. • Efforts to understand that should be to first, explore the driving forces of economic growth……. In the case of Africa, attention should focus on sources and driving forces of agricultural growth.
  • 4. • AIMS: Investigate sources and determinants of agricultural growth in Africa. – The focus is on quantifying: • how much growth in agricultural output is associated with growth in physical capital, • how much is due to technology, • how much is due to productivity improvement, • how much is due to institutional change and other factors.
  • 5. Potential sources of Ag. Growth Land Chemical inputs What drive me ? Labor Quantity Labor Quality Extension Agricultura l Growth Tractors Livestock Technology Random factors
  • 6. Data Used Panel Data (1970-2000) on the agricultural sector of each country…. (FAOSTAT). These data included: • value of the Agricultural production, • agricultural labor, • number of tractors in use, • quantity of fertilizer used, • agricultural land, • number of livestock in sheep-equivalent.
  • 7. Data: Sampled Countries • Top 26 African agricultural producers (except South Africa Republic) Morocco Tunisia Algeria Egypt Mali Niger Senegal Chad Burkina Sudan Faso Guinea Nigeria Ivory Ghana coast Cameroon Uganda Kenya Rwanda DR Congo Tanzania Burundi Malawi Angola Madagascar Mozambique Zimbabwe
  • 8. Visualisation Y(Output) Frontier 2 P4 A1 Frontier 1 P2 B P1 A X (Input) X1 X2
  • 9. break down the growth rate in neo-classical production function • We first consider the following Solow neo-classical production function: ln Qit f ( xitj , t; ) it i 1 ,.....,n t 1 ,.....,T j 1 ,.....,J • Growth accounting analysis generally assumes that the residual of this production function captures total factor productivity (TFP) growth. The break down of the growth rate of the aggregate output is given by. Q it itj x itj TFPit j Xt Xt 1 • Where dots over variables indicate rate of change Xt Xt 1 f ( x, t ; ) • and αitj is the output elasticity of input j, for country i in j xj time t.
  • 10. TFP derivation: Malmquist Index Method t d 0 yt , xt VRS is assumed B d 0s ys , xs Pure Technical Efficiency t d 0 yt , xt CRS is assumed A d 0s ys , xs Efficiency Growth Scale Efficiency Agricultural Productivity Growth Growth A B 12 Technical t s s d y t , xt 0 d y t , xt d y s , x s 0 0 Growth 12 s d y s , xs t t d y t , xt d y s , x s d 0s yt , xt d 0s y s , x s 0 0 0 t t d 0 y t , xt d 0 y s , x s
  • 11. Four distance functions to compute t 1 [d 0 ( xt , y t )] Max , , subjet to y it Yt 0 • Distance from production point of t, to technology in period t xit Xt 0' 0, [d 0 1 ( xt 1 , y t 1 )] t 1 Max , , subjet to y i ,t 1 Yt 1 0 • Distance from production point of t+1, to technology in period t+1 x i ,t 1 Xt 1 0' 0, t 1 [d 0 ( xt 1 , y t 1 )] Max , , subjet to y i ,t 1 Yt 0 • Distance from production point of t+1 to technology in period t x i ,t 1 Xt 0' 0, [d 0 1 ( xt , y t )] t 1 Max , , subjet to y it Yt 1 0 • Distance from production point of t to technology in period t+1 xit Xt 1 0' 0,
  • 12. Yearly agricultural growth by decade in Africa (%) 4 3.53 3.5 3.03 2.71 3 2.5 2 1.43 1.5 1 0.5 0 1971-80 1981-90 1991-00 All (1971-00)
  • 13. Yearly agricultural growth by region in Africa, 1971-00 (%) 3.45 3.5 3.24 3 2.53 2.5 2.04 2 1.68 1.5 1 0.5 0 Northern West Central East Southern
  • 14. Growth decomposition Agricultural growth Physical Unaccounted Productivity factors factors Conflict, Land, Climate, Labor, Technical Technological Natural Fertilizer, efficiency change disaster Tractors, (extension) (research) …… ….
  • 15. Agricultural growth contributors, 1971-00 (%) 98 100 80 67 60 40 20 0 -20 -40 -60 -65 -80 Physical factors Productivity Unaccounted factors
  • 16. Agricultural growth contributors by decade (%) 150 100 50 0 -50 -100 Physical factors Total factor productivity Unaccounted factors 1971-80 113.88 -45.11 31.23 1981-90 48.33 86.14 -34.47 1991-00 92.04 91.36 -83.39
  • 17. Agricultural growth contributors by region (%) 300 200 100 0 -100 -200 -300 -400 Northern Western Central East Southern Physical factors 66.92 48.53 262.2 270.58 176.27 Total factor productivity 64.27 42.73 66.43 136.61 48.6 Unaccounted factors -31.18 8.74 -228.64 -307.2 -124.87
  • 18. Contribution of physical inputs in the agricultural growth, 1971-00 (%) 60 51 50 40 30 21 25 20 10 4 0 -4 -10 Land Labor Tractor Fertilizer Livestock
  • 19. Contribution of physical inputs in the agricultural growth by region, 1971-00 (%) 200 150 100 Land Labor Tractor 50 Fertilizer 0 -50 Northern West Central East Southern
  • 20. Implications for R4D 98 100 80 67 60 40 20 0 -20 -40 -60 -65 -80 Physical factors Productivity Unaccounted factors Technology or Efficiency ? Technical Technological efficiency change (research/extension) (research)
  • 21. Technology Gap and Productivity difference in African Agriculture Central Africa frontier Meta frontier Westtern Africa frontier Output Y YC.A Eastern Africa frontier Northern Africa frontier Southern Africa frontier YW.A YN.A YE.A YS.A Input, x