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Agricultural & Applied Economics Association (AAEA) – African Section
Washington DC05 August 2018
Rising Tractor Use in sub-Saharan Africa:
Evidence from Tanzania
D. van der WesthuizenT.S. JayneF.H. Meyer
This study was made possible by a number of
funders, including the generous support of the Bill
and Melinda Gates Foundation
2Bureau of Food and Agricultural Policy
Introduction
• The drivers of rising use of mechanization services on smallholder farms remainpoorly understood
Objectives:
• To identify the factors driving recent rise of mechanization use by small-holderfarmers in Tanzania
• To explore the potential role of medium & large-scale farms in promoting amovement to more capital-intensive forms of farming, not only on larger farms buton smallholder farms as well
• To evaluate whether evolving trends in factor use between labor and capital onsmallholder farms in Tanzania is consistent with the Hayami-Ruttan InducedInnovation theory
3Bureau of Food and Agricultural Policy
Import Data shows an Increase in Tractor Demand
Nominal value of tractor imports into region is increasing
International Trade Center &
Trademap, 2016
$-
$100 000
$200 000
$300 000
$400 000
$500 000
$600 000
2001 2003 2005 2007 2009 2011 2013 2015
No
min
al v
alu
e o
f im
po
rts
in U
S$
th
ou
san
d
Sub-Saharan AfricaSouthern AfricaNorth Eastern AfricaWestern Africa
$-
$10 000
$20 000
$30 000
$40 000
$50 000
$60 000
$70 000
$80 000
$90 000
$100 000
2001 2003 2005 2007 2009 2011 2013 2015
Val
ue
of
Imp
ort
s in
US
$ t
hou
san
d
Ghana Nigeria
Kenya Tanzania
Zambia Linear (Ghana)
Linear (Nigeria) Linear (Kenya)
Linear (Tanzania) Linear (Zambia)
700%
Causes of Rising Tractor Use in SSA
Conceptual Framework
5Bureau of Food and Agricultural Policy
Causes of Increased Tractor UseConceptual Framework: Hayami & Ruttan Induced Innovation
Supply:• Cost of capital has declined in Africa since 2000, real interest rates
lower & penetration of banking into rural areas has improved (Andrianaivoand Yartey, 2009; Ojah and Odongo Kodongo, 2015)
• Many medium-scale farmers own/use tractors. As these farmersexpand, there is a growing presence of tractors in rural areas
Demand:
• Rising opportunity cost of farm labor, especially in areas experiencingeconomic dynamism (Tschirley et al., 2015; Yeboah and Jayne, 2018)
• Shifts in labor force into more diversified, off-farm activities associatedwith economic transformation (Yeboah & Jayne, 2018)
• Higher global food prices Incentives to expand area under cultivation Technologies to facilitate area expansion (AGRA, 2016; Jayne et al., 2016;
Richards et al., 2016; UN Population prospects, 2017)
Data & Methods
7Bureau of Food and Agricultural Policy
Data & Methods
• Tractor importation data for 40 African countries – Trademap
• Tanzanian National Panel Survey (NPS) for 2008/09, 2010/11, 2012/13 &2014/15 (TNBS & World Bank) - 9,726 observations for pooled data &1,672 for HH-level panel)
• Demand function for tractor rental services:
• Ordinary Least Squares (OLS) multiple regression to test inducedinnovation hypothesis
1) Pooled generalized linear model (GLM) probit which provides a flexible
generalization of ordinary linear regression
2) Mundlak-Chamberlain device (Mundlak 1978; Chamberlain 1984), providing an
estimator that Woolridge (2010) refers to as the Correlated Random Effects (CRE)
model which address the issue of unobserved heterogeneity at household level
where Y = % change in the number of HH using tractors: ∆ 2008-2010; ∆ 2010-2012
∆ 2012-2014 & key variable of interest: ∆ in factor price (FP) ratio: ∆ 2008-2010; ∆
2010-2012 ∆ 2012-2014 where FP ratio = wage rate divided by tractor rental cost
8Bureau of Food and Agricultural Policy
Data & MethodsModel specification: Demand function for tractor rental services
𝑃 𝒀𝒕𝒓𝒂𝒄𝒕𝒐𝒓𝒓𝒆𝒏𝒕 = 1 𝑋𝑘) = 𝑓 𝑋, 𝐶, 𝑅, 𝑌 + ϵi
𝑋 = ℎ𝑜𝑢𝑠𝑒ℎ𝑜𝑙𝑑 𝑐ℎ𝑎𝑟𝑎𝑐𝑡𝑒𝑟𝑖𝑠𝑡𝑖𝑐𝑠
𝐶 = 𝑐𝑜𝑚𝑚𝑢𝑛𝑖𝑡𝑦 𝑐ℎ𝑎𝑟𝑎𝑐𝑡𝑒𝑟𝑖𝑠𝑡𝑖𝑐𝑠
𝑅 = 𝑟𝑒𝑔𝑖𝑜𝑛 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛𝑠
𝑌 = 𝑦𝑒𝑎𝑟 𝑑𝑢𝑚𝑚𝑦 𝑣𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝑠
• X: household land cultivated, gender & age of household head, assetwealth & market access conditions
• C : local wage rates, fertilizer prices, tractor rental rates, share of MSfarms as % of total number of farms in district
• R: to regional dummy variables (30 regions)
• Y: survey year dummies (3 for pooled sample; 2 for household panelanalysis)
for panel estimation ϵit =∝𝑖 + 𝜇𝑖𝑡
• Changing tractor use in Tanzania
• Shift in rental markets, especially among small-scale producers
• Tractor rental use is concentrated in certain regions
Results:
Descriptive Statistics
10Bureau of Food and Agricultural Policy
Changing Tractor Use in TanzaniaMore households & area using tractors; small-scale farms increasingly using rental services
World Bank online data: Tanzania National Panel
Survey, 2008/09, 2010/11, 2012/13 & 2014/15
163 029 205 390335 906
490 349
734 136625 660
856 755
1 280 714
0.0%
1.0%
2.0%
3.0%
4.0%
5.0%
6.0%
7.0%
8.0%
-150 000
350 000
850 000
1 350 000
1 850 000
2 350 000
2008/09 2010/11 2012/13 2014/15
% o
f sm
all-
scal
e H
H u
sin
g t
ract
or
ren
tal
serv
ices
To
tal
trac
tor
use
: H
ou
seh
old
s &
Cult
ivat
ed a
rea
Number of households using tractors Hectares of cultivated land where tractors were used
% of small-scale HH using tractor rental services
0-1.99 ha group: + 135% (2009-2015)
2-4.99 ha group: + 309% (2009-2015)
11Bureau of Food and Agricultural Policy
Tractor rental use is concentrated in certain regionsSome regions have experienced higher growth since 2008/09
0.0%
5.0%
10.0%
15.0%
20.0%
25.0%
30.0%
35.0%A
rush
a
Man
yar
a
Kil
iman
jaro
Ku
sin
i U
ngu
ja
Moro
goro
Mji
ni
Ungu
ja
Do
dom
a
Tan
ga
Sin
gid
a
Dar
es
Sal
aam
Mtw
ara
Pw
ani
Irin
ga
Mar
a
Shin
yan
ga
Kas
kaz
ini
Pem
pa
% o
f H
H u
tili
sing
tra
cto
r re
nta
l se
rvic
es
2014/15
2008/09
World Bank online data: Tanzania National Panel
Survey, 2008/09, 2010/11, 2012/13 & 2014/15
Estimation Results
• Pooled GLM probit
• Mundlak-Chamberlain (MC) indicator / CRE model
• Predicted Probabilities
13Bureau of Food and Agricultural Policy
Pooled GLM & MC-CRE Probit Results Selective output for 4 approaches
Estimation approach Pooled GLM Probits Mundlak-Chamberlain Correlated Random
Effects
Dataset 2% rental regions 2% rental regions 2% tractor rental
regions
2% tractor rental
regions
Limited to HH located
in 0-5 ha
Limited to HH located
in 0-5 ha
Cultivated Land Size Distribution = 2 - 4.99 hectares 0.44*** 0.46*** 0.33*…. 0.33*…..
Cultivated Land Size Distribution = 5 - 9.99 hectares 0.62*** . 0.41…... .
year = 2012/13 0.31*** 0.36*** 0.50*** 0.52***
year = 2014/15 0.59*** 0.64*** . .
Household head sex: Male 0.24*** 0.26*** 0.18…… 0.26……
log_market_dist 0.01…… -0.01……. -0.20*….. -0.18……..
log_wage_rate_LP 0.19*** 0.19*** 0.21*** 0.19***
log_trac_rent_cost -0.22*** -0.31*** -0.30**… -0.31*……
hh_5_10_ha 4.37*** 4.14*** 0.63…… 0.35…….
Region = Arusha 0.76*** 0.79*** 0.95*…. 1.23**…
Region = Kilimanjaro 0.95*** 0.96*** 1.00**.. 1.27**…
Region = Morogoro 0.59*** 0.74*** 1.44*** 1.72***
Region = Pwani 0.77*** 0.79*** 1.57*…. 1.77**..
Region = Manyara 0.91*** 1.00*** 1.67**.. 1.85***
log_maize_price_mean . . 0.70*** 0.63***
log_trac_rent_cost_mean . . -0.80**… -0.83*…..
hh_5_10_ha_mean . . 8.90*…. 12.21***
. . . .
Constant -3.32*** -2.47** -0.03……. 0.02…….
Observations 3,728 3,524 1,644 1,564
pval in parentheses
*** p<0.01, ** p<0.05, * p<0.1
14Bureau of Food and Agricultural Policy
0.0%
5.0%
10.0%
15.0%
20.0%
25.0%
0-1
.99 h
ecta
res
2-4
.99 h
ecta
res
5-9
.99 h
ecta
res
>10 h
ecta
res
Mal
e
20
14 2
5th
per
cen
tile
20
14 m
edia
n
20
14 7
5th
per
cen
tile
20
14 2
5th
per
cen
tile
20
14 m
edia
n
20
14 7
5th
per
cen
tile
20
14 2
5th
per
cen
tile
20
14 m
edia
n
20
14 7
5th
per
centi
le
20
14 9
0th
per
cen
tile
Land size category Head
type
Wage rate Tractor rental cost Concentration of 5-20ha HH
per district
Pro
bab
ilit
y P
erce
nta
ge
Model prediction Overall model prediction
Predicted Probability ScenariosDespite overall low success rate, results change quite substantially as we control for certain variables
World Bank online data: Tanzania National Panel Survey,
2008/09, 2010/11, 2012/13 & 2014/15
15Bureau of Food and Agricultural Policy
26.3%
55.1%
62.6%
48.5%
55.6%
61.0%
0.0%
10.0%
20.0%
30.0%
40.0%
50.0%
60.0%
70.0%
Dodoma Arusha Kilimanjaro Morogoro Pwani Manyara
Predicted probabilities for regions where land size = 4-9.99 ; year =2014 ; head type = male & concentration of
0-5 ha producers = 2014 median
Pro
bab
ilit
y P
erce
nta
ge
Model prediction Overall model prediction
Tractor adoption – Regionally concentrated within specific groups
Predicted probabilities for land size group = 5-9.99; year = 2014, head type = male & concentration of medium-scale producers per district = 2014 median
World Bank online data: Tanzania National Panel Survey,
2008/09, 2010/11, 2012/13 & 2014/15
16Bureau of Food and Agricultural Policy
0%
50%
100%
150%
200%
250%
300%
2008/09 2010/11 2012/13 2014/15
Ind
ex:
20
09
= 1
00
Rental tractor use Wage rate Tractor rental cost
Induced Innovation Hypothesis
Mean of median changes in district-level factor prices
World Bank online data: Tanzania National Panel Survey,
2008/09, 2010/11, 2012/13 & 2014/15
17Bureau of Food and Agricultural Policy
Induced Innovation Hypothesis
Relative change in factor prices vs. change in share of farms renting tractors
(0.25)
(0.20)
(0.15)
(0.10)
(0.05)
-
0.05
0.10
0.15
0.20
0.25
-25% -15% -5% 5% 15% 25%
Change: FP 2008-2010
(0.25)
(0.20)
(0.15)
(0.10)
(0.05)
-
0.05
0.10
0.15
0.20
0.25
-25% -15% -5% 5% 15% 25%
Change: FP 2010 - 2012
(0.25)
(0.20)
(0.15)
(0.10)
(0.05)
-
0.05
0.10
0.15
0.20
0.25
-25% -15% -5% 5% 15% 25%
Change: FP 2012-2014
(0.25)
(0.20)
(0.15)
(0.10)
(0.05)
-
0.05
0.10
0.15
0.20
0.25
-25% -15% -5% 5% 15% 25%
Change: FP 2008-2014
Y axis: Change in factor price ratio
X axis: % change in
# of farms renting
tractors
18Bureau of Food and Agricultural Policy
Induced Innovation Hypothesis Testing
Relative change in factor prices vs. change in share of farms renting tractors
World Bank online data: Tanzania National Panel Survey,
2008/09, 2010/11, 2012/13 & 2014/15
Model Specification to test the induced innovation hypothesis:
Y = % change in the number of HH renting tractors: ∆ 2008-2010; ∆ 2010-2012 ∆ 2012-2014
X1 = ∆ in factor price (FP) ratio: ∆ 2008-2010; ∆ 2010-2012 ∆ 2012-2014 where FP ratio = wage
rate divided by tractor rental cost
X2 = Household asset wealth (lagged)
X3 = Market distance from household to closest market (lagged)
X4 = Quantity maize harvested in kilograms per hectare (lagged)
X5 = Maize price in TZS per kilogram sold (lagged)
X6 = Fertilizer cost in TZS per kilogram of fertilizer (lagged)
X7 = Concentration of 5-10 hectares farming households per district (lagged)
19Bureau of Food and Agricultural Policy
Induced Innovation Hypothesis Testing
Relative change in factor prices vs. change in share of farms renting tractors
World Bank online data: Tanzania National Panel Survey,
2008/09, 2010/11, 2012/13 & 2014/15
OLS Regression Statistics for Change: % change in the number of HH renting tractors: ∆ 2008-2010; ∆ 2010-2012 ∆ 2012-2014
F-test 2.620 Prob(F) 0.012 Unrestricted Model
MSE1/2 0.080 CV Regr 560.623 F-test 2.620
R2 0.050Durbin-Watson
2.065 R2 0.050
RBar2 0.031 Rho -0.036 RBar2 0.031
Akaike Information Criterion
-5.034Goldfeld-Quandt
0.354Akaike Information Criterion
-5.034
Schwarz Information Criterion
-4.958Schwarz Information Criterion
-4.958
95% InterceptChange in
Factor Price Ratio
Lag_asset_wealth
Lag_market_dist
Lag_qty_harvested
Lag_maize_price
Lag_fert_cost
Lag_hh_5_10_ha
Beta 0.00 0.08 0.00 0.00 0.00 0.00 0.00 0.10S.E. 0.01 0.03 0.00 0.00 0.00 0.00 0.00 0.12t-test -0.32 2.98 0.29 -0.97 2.56 1.02 0.50 0.88Prob(t) 0.75 0.00*** 0.77 0.33 0.01*** 0.31 0.61 0.38
Elasticity at Mean -0.026 0.023 -0.348 0.547 0.685 0.270 0.186Partial Correlation 0.157 0.015 -0.052 0.136 0.056 0.025 0.047
OLS regression indicates significant & positive signs for the change in factor price ratio &
quantity of maize harvested on the % change in the number of HH renting tractors
Conclusions
21Bureau of Food and Agricultural Policy
Conclusions
• Concentration of medium-scale farms per district coupled with increasedtractor rental use by smallholders
• Landholding size coupled with increased tractor rental use
• Increase in # of households using tractors not limited to larger-scaleproducers
• Largest increase in tractor rental use was observed in the 2-4.99 and 5-9.99 hectares’ land size groups
• Significant regional variation in tractor rental use & adoption
• Estimation results uphold the importance of relative changes in factorprices consistent with the induced innovation hypothesis
• Although overall tractor rentals remain low, it is rising particularly in ruralareas experiencing economic transformation
THANK YOU
www.bfap.co.za
+27 82 420 6964
divan.vanderwesthuizen@up.ac.za
Acknowledgement: Ayala Wineman for her supportive role &
advice in the research
Supporting Slides
24Bureau of Food and Agricultural Policy
Tanzania Maize Market
Area increase & increase in real maize prices
Renapri, 2018
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Area PlantedDomestic Maize Price (Arusha)Domestic Maize Price (Arusha) - Real 2005 termsLinear (Area Planted)Linear (Domestic Maize Price (Arusha) - Real 2005 terms)
25Bureau of Food and Agricultural Policy
Induced Innovation Hypothesis
Change in wage rate vs. tractor rental costs
0%
50%
100%
150%
200%
250%
300%
350%
2008/09 2010/11 2012/13 2014/15
Wage rate (index: 2008/09 = 100)
Wage rate index: 10 highest rental use regions
Kilimanjaro Arusha Morogoro
Pwani Dodoma Manyara
Mbeya Iringa Mara
Mwanza
0%
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Tractor rental cost (index: 2008/09 = 100)
Tractor rental cost index: 10 highest rental use regions
Kilimanjaro Arusha Morogoro
Pwani Dodoma Manyara
Mbeya Iringa Mara
Mwanza
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