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1 Title page Title: A Green Revolution for rural Rwanda: Reconciling production growth with small-scale risk management Authors: 1. An Ansoms, Institute of Development Policy and Management, University of Antwerp 2. Ann Verdoodt, Laboratory of Soil Science, Department of Geology and Soil Science, Ghent University 3. Eric Van Ranst, Laboratory of Soil Science, Department of Geology and Soil Science, Ghent University Contact details of corresponding author: An Ansoms Address: Lange St. Annastraat 7, 2000 Antwerp, Belgium Tel: 0032/3265.5698 Email: [email protected] Bio of lead author: An Ansoms works as an assistant at the Institute for Development Policy and Management (IOB) of the University of Antwerp (Belgium) where she focuses on poverty and inequality in the Great Lakes Region of Africa. She has published articles on Rwanda in African Affairs, the Journal of Modern African Studies, and other journals. She recently finished her PhD in Economics at Antwerp with a dissertation entitled “Faces of rural poverty in contemporary Rwanda: Linking livelihood profiles and institutional processes.” Acknowledgements: Acknowledgements: The authors greatly acknowledge the methodological input of Cynthia Donovan, Renato Flores, Peter Goos, and Stefan Kesenne.
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Title page

Title: A Green Revolution for rural Rwanda: Reconciling production growth with

small-scale risk management

Authors:

1. An Ansoms, Institute of Development Policy and Management, University of Antwerp

2. Ann Verdoodt, Laboratory of Soil Science, Department of Geology and Soil Science,

Ghent University

3. Eric Van Ranst, Laboratory of Soil Science, Department of Geology and Soil Science,

Ghent University

Contact details of corresponding author:

An Ansoms

Address: Lange St. Annastraat 7, 2000 Antwerp, Belgium

Tel: 0032/3265.5698

Email: [email protected]

Bio of lead author:

An Ansoms works as an assistant at the Institute for Development Policy and Management

(IOB) of the University of Antwerp (Belgium) where she focuses on poverty and inequality

in the Great Lakes Region of Africa. She has published articles on Rwanda in African

Affairs, the Journal of Modern African Studies, and other journals. She recently finished

her PhD in Economics at Antwerp with a dissertation entitled “Faces of rural poverty in

contemporary Rwanda: Linking livelihood profiles and institutional processes.”

Acknowledgements:

Acknowledgements: The authors greatly acknowledge the methodological input of Cynthia

Donovan, Renato Flores, Peter Goos, and Stefan Kesenne.

2

A Green Revolution for rural Rwanda:

Is there a future for small-scale farming and pro-poor rural growth?

“What goes on in Rwandan fields is not just a battle against the natural elements; it is

a cultural struggle as well. The former will not be won if the latter is lost.”

(Pottier & Nkundabashaka 1992: 164)

Abstract

The Rwandan government has recently adopted new agricultural and land policies that strive

to increase productivity in the agricultural sector through land consolidation and

concentration, and through crop intensification. These policies have been identified in line

with Rwandan policy makers’ ‘Green Revolution’ ambition to transform the agrarian sector

into a professionalized motor for economic growth and pro-poor rural development. The first

part of this paper, however, identifies an inverse relationship between farm size and

productivity; and proves that risk-averse production techniques such as farm fragmentation

and multicropping are not necessarily counterproductive to maximizing farmers’ production

output. A second part considers how peasants themselves value the (potential) impact of land

consolidation and government-led crop intensification upon their livelihoods. In its

conclusion, the paper reflects upon the crucial dilemmas for policy makers in the

materialization of the Green Revolution in Rwanda specifically, and in Sub-Saharan Africa

more broadly.

Key words: Green revolution, agriculture, small-scale farming, economic growth,

productivity, poverty reduction, equity, WDR 2008, Rwanda, Sub-Saharan Africa

3

1. Introduction: a green revolution for rural Rwanda?

Agricultural systems in Africa are severely challenged by various drivers of change such as

increasing population growth, an increasing demand for food and livestock products, and

climate change (IAASTD, 2009; Jones and Thronton, 2009). At the same time, both scientific

scholars and policy makers have rediscovered the agricultural sector - after decades of

neglect - as an important motor for pro-poor growth. The 2008 World Development Report

focuses on agriculture’s role in poverty reduction and overall development. It pleads for a

Green Revolution in Sub-Saharan Africa (World Bank, 2007). The report specifies that this

Green Revolution will have to be essentially different from the one that took place in Asia

during the 1960s and 1970s, as it should be adapted to the agricultural ecosystems and the

institutions in the African continent.

The term “Green Revolution” was first used by William Gaud (USAID administrator in the

late 1960s) to point to the improved yields in Asian, Middle and South American countries

through the use of new technologies in the agricultural sector: “Developments in the field of

agriculture contain the makings of a new revolution. It is not a violent Red Revolution like

that of the Soviets, nor is it a White Revolution like that of the Shah of Iran. I call it the

Green Revolution” (Speech to the Society for International Development in 1968).

Indeed, global food production increased with 58% between 1970 and 1990 (World Bank,

2010). On the other hand, Patel et alii (2009) point to the fact that increased food production

was not merely the result of technological progress; another major explanatory factor was the

extension of cultivated land. And the question as to whether the Green Revolution during the

1960s and 1970s has contributed to poverty reduction, is even more heavily debated. Already

4

in 1979, Griffin (1979: xi) noted that “the new technology has not revolutionized production

but it has often helped to worsen the distribution of income.” He argues that a lot of the

technical changes in the green revolutions of Asian, Middle and South American countries

were biased in favor of larger farmers, with perverse consequences for the well-being of the

majority of small-scale peasants.

The 2008 World Development Report seems to draw lessons from past experiences by

stressing upon the importance of smallholders in a green revolution for Sub-Saharan Africa.

The report points to the importance of smallholder farming as a form of agricultural

organization, and to the dependence of large parts of the rural population upon this type of

farming. The report warns policy makers to not ‘tilt the playing field’ against smallholders,

but instead enhance their competitiveness to facilitate their participation in agricultural

growth (World Bank, 2007). But at the same time, the report only sees a future for those

small-scale peasants who are capable of converting into capitalist entrepreneurs, able to

integrate themselves into the market logic (Veltmeyer, 2009; Akram-Lodhi, 2008).

Veltmeyer (and others in a special issue of the Journal of Peasants Studies on the WDR 2008)

criticises the way in which the ideological blinders of the report result in a failure to consider

policy options that provide alternative ‘pathways out of poverty’.

Indeed, the question as to which kind of policy instruments are suitable for supporting

smallholder agricultural production modes is still open. On the one hand, there are those

actors pleading for maximal agricultural growth through technological improvements,

increasing commercialization of agricultural products, and through private sector

involvement (see e.g. the rationale of the Bill and Melinda Gates Foundation, criticized in

Patel et alii, 2009). Others (f.e. Borras, 2003) point out that agricultural reforms occur in a

5

space where various social actors have unequal bargaining and negotiation positions due to

the asymmetry of social class power. Policies should therefore focus upon facilitating

smallholders’ access to markets, technology, risk-coping mechanisms (World Bank 2005)

and the distribution of crucial assets, particularly land (see e.g. the alternative to market-led

land reform promulgated by La Vía Campesina, Desmarais, 2002). The question as to where

policy makers put there focus, has obvious consequences upon the policies themselves: do

they opt for maximal growth of agricultural production and productivity, or do they focus on

a maximal pro-poor effect by improving the bargaining power of the poor in the production

process?

This debate is extremely relevant in Rwanda. Rwanda has long been a densely populated

country, confronted much earlier with severe land-scarcity than the rest of the African

continent. Since the early sixties, the expansion of arable land could not keep pace with

Rwanda’s impressive population growth (Figure 1A). As a result of this gap, per capita arable

land availability declined during the seventies and eighties (Figure 1B). However, despite

declining land availability, food production per head remained considerably high (with

fluctuations) until the mid 1980s in comparison to Sub-Saharan Africa (Figure 1C). The

inventiveness of the small-scale farming model seemed to avoid or at least postpone a

Malthusian trap.

Figure 1A Figure 1B Figure 1C

Trends in population and land Arable land per head Food production per head

6

100

150

200

250

300

196519701975198019851990199520002005In

dex

(196

5 =

100)

PopulationArable land

0,10

0,12

0,14

0,16

0,18

196519701975198019851990199520002005

Hect.

8090

100110120130140

196519701975198019851990199520002005Fo

od p

rodu

ctio

n pe

r hea

d In

dex

(196

5=10

0)

Rw anda SSA

Source: World Bank, 2010.

By the second half of the 1980s, a severe economic crisis combined with political tumult had

a negative impact upon overall food production. The effect of the war and genocide in the

early 1990s led to a total economic collapse. Despite an impressive post-war recovery of the

agricultural sector in the second half of the nineties, food production per head did not recover

up to the 1980s’ standards. Agricultural growth was very volatile in the early 2000s (World

Bank, 2010). In 2008, primary growth was impressive at 15% (IMF, 2009) after very limited

(or even negative) growth rates until 2007. A rather problematic finding is that the pro-poor

degree of agricultural growth (measured by the growth elasticity of poverty) during the

implementation period of the first PRSP (2001-2005) has been extremely low in comparison

to the industry and service sectors (Ansoms, 2008).

Nonetheless, the Rwandan government is rather clear in its ambition to achieve a Green

Revolution-type agrarian reform. The Rwandan government aims for GDP growth to be led

by a major increase in overall output and productivity in the agricultural sector, while

devoting little attention to the distribution of such growth. Policy makers thereby implicitly

assume that a growth strategy based on agriculture is ‘designed’ to be pro-poor (GoR,

2002:31).

7

The ambition is materialized in the various rural policy documents. The Rwandan

government has recently adopted new agricultural and land policies that strive to increase

overall output and productivity through land consolidation and concentration, and through the

promotion of crop intensification by means of regional specialization and monocropping.

The land law was adopted in 20051 and aims to enhance the security of tenure and reduce

conflicts by registering land holdings. It subscribes to the overall goal of increasing

agricultural productivity and land efficiency, while attempting to avoid environmental

degradation. One of the underlying assumptions of the law is that fragmented land use has a

counterproductive impact upon these objectives. The land policy states, “… the Rwandan

family farm unit is no longer viable. … The re-organization of the available space and

technological innovations are necessary in order to ensure food security for a steadily and

rapidly increasing population” (GoR, 2004A: 16). To achieve these objectives, article 20 of

the land law prohibits the division of land parcels of one hectare or less (no ceiling on

landholdings was included in the final approved law). Land consolidation2 is presented as one

of the main objectives of the land law (GoR, 2005). It is hoped that this consolidation will

increase land concentration and provide economies of scale in two ways: first, the

consolidation movement should lead to more concentrated farms (instead of a farm scattered

over many land plots); and second, the consolidation movement should increase land

concentration among a smaller number of modern and more efficient farmers who

concentrate on market-oriented agricultural production (see interviews with policy makers in

Ansoms, 2009).

1 Its full name is the Organic Law determining the use and management of land in Rwanda (N°08/2005 of 14/07/2005, GoR 2005). 2 Land consolidation is defined as, “a procedure of putting together small plots of land in order to manage the land and use it in an efficient uniform manner so that the land may give more productivity” (Organic Law N° 08/2005 of 14/07/2005, article 2).

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The Rwandan Agricultural Policy, and the subsequent Strategic Plans for Agricultural

Transformation (2005-2008, and 2009-2012) (see GoR, 2004A; GoR, 2009) aim to transform

the primary sector into a growth engine through a focus upon agricultural modernization,

intensification, professionalization and private sector involvement. The strategies focus upon

the development of commodity chains with export potential, or upon crops with great

importance for internal markets where the policy makers see a major role for the private

sector. Crop intensification - through regional specialization and the promotion of

monocropping - is seen as an important trigger for the commercialization of agricultural

production, and the modernization of the sector as a whole.

The first experiments with the forceful implementation of these policy objectives have not

been without controversy. In 2006, officials urged peasants in the Eastern Province to plant

their crops ‘in row’ and adopt monocropping. In the autumn of 2006, local administrators in

certain districts pulled out crops when peasants had not followed the guidelines (i.e. they had

planted beans in between banana trees, Reyntjens, 2007, 2). In September 2006, the Mayor in

charge of Muhanga (in the Southern Province) urged the population to replace their banana

trees with other cash crops, flowers or pineapple. After a BBC broadcast, the

recommendations were suspended (Cros, 2006). In early January 2007, the Governor of the

Eastern Province, Mr. Mutsindashyaka, placed a ban on sweet potatoes. His decision was

later revoked by the Minister of State for Agriculture (New Times, 2007). But despite more

recent claims by both the Rwandan government and supporting international donors that such

enforcement is no longer carried out, Twizeyimana (2009) cites peasants in the Eastern

province in May 2009, who explain local malnutrition as the result of a draught in

combination with the obligation imposed upon them to only produce maize.

9

The underlying assumptions of the Rwandan rural policies seem to be that risk-averse

production techniques - such as farm fragmentation, multicropping and local crop

diversification - are counterproductive to achieve maximal productivity. The first empirical

part of this paper, however, identifies an inverse relationship between farm size and

productivity; and proves that risk-averse production techniques such as farm fragmentation

and multicropping are not necessarily counterproductive to maximizing farmers’ production

output. We use socio-economic quantitative data gathered by the Food Security Research

Project (FSRP) combined with data from the Household Living Conditions Survey (EICV)3

coordinated by the Rwandan government. The data used in this paper refer to the year 2001

and are representative for rural Rwanda. Conditional upon the dependent variable considered

(see later), the sample includes a total of 1312 / 1357 households from 125 cellules4

distributed over the different provinces of Rwanda5.

In a second empirical part, the paper considers how peasants themselves value the (potential)

impact of land consolidation and regional crop specialization upon their livelihoods. These

data are based upon qualitative field research conducted by the author from May until July

3 The Food Security Research Project is a joint initiative of Michigan State University, the Rwandan Ministry of Agriculture and USAID. The FSRP sample is a sub-sample of the nationally representative Household Living Conditions Survey (EICV) that was undertaken by the Rwandan government (2001). In general, the FSRP sample retained the same households as included in the EICV sample, and replaced those non-available with households from the EICV’s reserve list. The FSRP panel survey focused on land use and agricultural production for 6 seasons between 2000 and 2002. Compared to the EICV data regarding land and livestock ownership, the FSRP data is more reliable for variables; given the effort put into correct data measurement and follow-up. However, the data on the monetary value of agricultural production per household is only available in the EICV dataset. We combine the EICV dataset with the 2001 FSRP dataset in order to have compatible data. 4 Rwandan households are typically scattered over the hills. Before the administrative reforms of 2005, the cellule was the administrative division that corresponded with one or a few hills. 5 The EICV dataset was gathered data between July 2000 and June 2001. The FSRP data was gathered during 3 years (between 2000 and 2002), each time for both season A (September – January) and season B (March – August). This means that the FRSP 2001 data cover both season A (September 2000 – January 2001) and season B (March 2001 – August 2001), a period that is more or less compatible with the collection period of the EICV dataset.

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2007 in six imidugudu6 in the Southern province of rural Rwanda7. In each umudugudu, we

interviewed between 11 and 15 focus groups. Segmentation between focus groups was

mainly based on locally defined socio-economic categories (for more information on

methodology, see Ansoms, 2010).

2. Risk-management and land productivity: quantitative evidence

Concentrating on the Rwandan case, Byiringiro and Reardon (1996) use pre-conflict data to

conclude that smaller farmers have higher average and marginal land productivity than larger

farmers. We test whether their findings still hold for the post-conflict period. In addition, we

consider the impact of various risk-averse production techniques such as farm fragmentation,

crop diversification, and multicropping, on peasants’ productivity.

Productivity can be measured in different ways: results in terms of labor productivity8 are

essentially different from efficiency in terms of land productivity. In this chapter, we focus

on land productivity, given that this is the scarce factor for Rwandan peasant households.

Still, there are different ways to measure land productivity. Productivity per unit of land may

be expressed in yield (ton per hectare); however, this measure makes it difficult to compare

productivity for different crops / combinations of crops on the total farm surface. Productivity

6 Rwandan households are typically scattered over the hills. The umudugudu (plural: imidugudu) is the administrative division that corresponds with one or a few hills. The boundaries of the umudugudu after the administrative reform often concur with the boundaries of what was called the cellule before the administrative reform (2006), at least in the rural setting. 7 Five out of six of the imidugudu were drawn from the settings included in the FSRP and EICV quantitative surveys. The selection of the five imidugudu was directed by the aim to select settings with diverging characteristics both in terms of “average wealth” (very poor to quite well-off), as in terms of location (very remote to very central). The sixth umudugudu is located very near to Kigali, which gives it special features in comparison to the other settings. It was added to the sample based upon its location. 8 Regarding labor productivity, we find that small-scale farmers are less productive. The Rwandan countryside is characterized by high underemployment; certainly in small-scale farms. For these households, the marginal increase in output when adding additional labor is extremely limited due to the lack of land.

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of land may also be expressed in monetary (in Rwf – Rwandan francs) or in caloric value.9

We use both measures in our regression models.

We want to measure the impact of several variables on productivity. The farm size-

productivity relationship is typically represented by the model (see Bhalla and Roy, 1988;

Carter, 1984; Deolalikar, 1981):

eLY ++= lnln 10 ββ

where Y is the output per hectare and L represents the farm size in hectares10.

INSERT TABLE 1

Bhalla and Roy (1988) have adapted the original model by adding several coefficients

accounting for soil quality (i.e. land type, land color and land depth). Indeed, farm size may

be correlated with soil quality11. To account for this factor in the analysis, we include a soil

quality index, developed at the Laboratory of Soil Science, Ghent University, for the 125

selected cellules included in the EICV-FSRP datasets. The index is based upon the soil

profile database and soil map of Rwanda at a scale of 1:50.000 (Imerzoukene and Van Ranst

9 The correlation between the two seems logical but it is not obvious. Peasants may, for example, choose to produce cash crops such as coffee or tea. The cultivation and sale of these crops may have a considerable impact upon the monetary value of overall production, but the output’s caloric value is very low. On the other hand, food crops such as sweet potatoes may have a low market value but can be an important component of the food diet because of their high caloric value. In this paper, calculations for added value of production per hectare are based on the combined EICV-FSRP dataset (2001). Calculations for caloric value of production per hectare are based on FSRP (2001) and FAO (2007) datasets. 10 The log transformation highly improves the variation in productivity that is explained by the model (R²). It allows one to interpret the coefficient as an elasticity, representing the percentage change in the dependent variable when the independent variable increases by one percent. A significant negative β1 coefficient would indicate a negative elasticity between farm size and productivity, which would provide support for the inverse relationship. 11 Ellis (1990) mentions that large farms may have less fertile land than small farms and provides two possible explanations. First, the more fertile regions with a higher soil quality tend to have a higher population density and more fragmentation. Another thesis is that small-scale peasants are obliged to fully exploit the productive potential of all their land, while larger farmers only concentrate on their best land which brings down their ‘average’ productivity (taking into account their entire property). Therefore, the observed inverse relationship may result from a correlation between farm size and soil quality. Bhalla and Roy (1988) found for the Indian case that indeed, part of the inverse relationship can be accounted for by the soil quality factor.

12

2001) 12. It was calculated by multiplying the scores (values between 0 and 100) attributed to

five soil characteristics: soil texture (A), soil depth (B), topsoil sum of basic cations (C), pH

(D), and organic carbon content (E). As such, it evaluates the physical and chemical soil

fertility and gives an expression of the soil quality for crop production13. In our analysis, we

consider the weighted average index for the dominant soil series at the cellule level. A formal

definition of the soil quality index is given by14:

100100100100100EDCBAIndex ××××= .

In their analysis on the inverse relationship, Bhalla and Roy (1988) further include a

coefficient for land fragmentation. They identify this variable as a potentially important

additional aspect of soil quality and, in any case, a variable that reveals important

information. In an environment where peasants are often driven into distress sales of land, the

worse land plots are assumed to get sold first. Therefore, a greater level of fragmentation is

likely to be correlated with lower soil quality and with lower productivity rates. Blarel et alii

(1992), however, point to the fact that in pre-war Rwanda, land fragmentation was

advantageous for farmers’ risk management and productivity. De Lame (2005) presents farm

fragmentation as a typical characteristic of the Rwandan farming system: “Some fields,

12 The cellules, taking part in the socio-economic study, were indicated on hardcopy maps of the sectors within each Rwandan province. This map of studied sectors was digitized and overlaid with the soil map sheets at a scale of 1:50.000 giving information on the soil series present within each of the studied cellules. The physical and chemical properties of each of these soil series were extracted from the related soil profile database. 13 The weighted average soil quality index has certain limitations. First, the soil profile database is based on information gathered over the eighties and early nineties while combined with the EICV - FSRP data of 2001. Over this period, it is likely that further land degradation has taken place in different degrees for different areas. This factor can not be accounted for in this analysis. Second, as the exact location of the household fields is not known, the soil quality needed to be reported at an aggregate (cellule) level. The variability in soil quality reported within each of the cellules may however be quite high. For example: the soil quality of fields located in the valleys can be higher than the soil quality of fields on steep slopes. Both elements may possibly bias the analysis. 14 When calculating a soil quality index, one may opt for additive versus multiplicative methods. In this case we opted for a multiplicative method as, in comparison with additive methods, it does a better job in revealing important limitations in only one or a few aspects of soil quality that may – despite good scores for all the other factors – have an important impact on overall productivity.

13

almost always including the banana grove, surround the house. Others are scattered and

pieced out following divisions aimed at making sure that each heir possesses each type of

field on the land inherited from the father or on purchased or given land.” (De Lame, 2005:

128) We include farm fragmentation as a separate coefficient, measured by the number of

plots over which the farm is divided15.

Another variable that may be important with regards to farmers’ risk management is the

number of crops cultivated on the farm (sum of number of crops in season A – September

2000 to February 2001 - and season B – March 2001 to August 2001). Agricultural policies

often encourage crop specialization to realize economies of scale and to orient the

agricultural sector more towards the cash market. However, the rationale for concentrating on

one market crop may be irrelevant for subsistence farmers and/or for farmers with limited

bargaining power in the local markets. Moreover, diversification of crop types may be an

effective method for subsistence farmers to spread and thus reduce risk (i.e. weather risks,

crop disease, etc.) when land is very scarce.

In the same way, farmers may choose to cultivate different crops on the same piece of land.

This technique (i.e. ‘multicropping’) is frequently used in Rwanda. We incorporate this

factor into the regression analysis by adding a variable that accounts for the share of the farm

used for multicropping (taking into account land use in seasons A and B).

In addition, we add a variable that accounts for household size - the number of adult

‘equivalents’ present in the household. Indeed, households with a lot of household members

15 The Pearson correlation between land fragmentation and land quality is significant and positive, but very small (0.037).

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may be obliged to intensify their agricultural activities on their available land, which could

result in higher productivity.

When plotting these variables into a regression analysis, we are however confronted with

different types of problems. First, there is the problem of combining data from different

levels. In an Ordinary Least Squares regression, all variables are treated as if they were

household-level characteristics. This is however not the case for the contextual variable

accounting for soil quality (measured at the cellule level).

In addition to this, lower-level independent variables measured at the household level – in

their relation to the dependent variable - may be influenced by contextual factors (soil quality

but also others) that are specific to the cellule/province/agricultural region in which the

households are nested. Applying OLS to nested data results in deflated standard errors. This

entails the risk of erroneously rejecting the null hypothesis (Type I error of finding statistical

significance, when in fact there is none). Random coefficient or multilevel regression

analyses - with REML16 estimators as substitutes for OLS estimators - are then the

appropriate tools with which to analyze these data.

Random coefficient regression allows addressing the joint problems of dependent

observations and (within-group) correlated residuals due to nesting of observations. This

technique permits the intercepts and slopes of coefficients of the lower level explanatory

variables to vary across groups (data grouped in cellules/provinces/agricultural regions). All

random regression coefficients have a fixed component, this is the summary average of a

population intercept and the slopes (that vary from one cellule to another). In most empirical 16 REML stands for REstricted Maximum Likelihood. In contrast to the Maximum Likelihood procedure, this REML procedure takes into account the number of parameters to estimate the model, which is important in the case of smaller samples.

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applications, their estimates differ little from the OLS estimates. However, the standard errors

for random coefficient regressions are typically larger than the deflated values reported in the

OLS regression, which reduces the risk of committing type I errors (i.e. finding false

significances). The random components measure the extent to which the random intercept

and slopes vary across cellules. The model also allows the estimation of the covariances

between intercepts and slopes. These determine whether the random components vary

together or not17. The random coefficient analysis may be transformed into a multilevel

analysis by including contextual variables from a higher level (in this case soil quality) to see

whether they account for the variability in the random intercept of lower level variables, and

by including cross-level interaction terms as additional explanatory variables to see whether

they explain variability in the random slopes (Bickel, 2007).

For the purpose of this chapter, a random coefficient regression model with two levels

(households and cellules) seems most appropriate; given that the inclusion of a third level

(either agricultural zone or administrative province) would lead to a problematic reduction of

the effective sample size (there are only 12 agricultural zones and 11 provinces in which

lower-level data are nested). In addition, contextual factors related to the cellule level are

more relevant than those at a more aggregated level for our type of agriculture-related

analysis.

When defining a random coefficient or multilevel model, the first question to answer is

whether there are coefficients that should be permitted to vary across higher-level groups. To

17 With the “variance components” default option of SPSS for the covariance structure, the variances of the random coefficients are allowed to vary, but the model specifies that they do not vary together. As a result, the estimates of covariance parameters will not include any covariances. When choosing the “unstructured” option instead, no constraints upon relationships among random components are imposed: random intercepts and slopes may vary together. The option, however, requires more parameters to estimate, which decreases the degrees of freedom (Bickel, 2007).

16

formulate an answer, we calculate the unconditional intra-class correlation coefficient18 (ICC,

with no explanatory variables in the equation). For productivity in terms of monetary value,

the ICC amounts to 0,245 whereas it equals 0,365 for productivity in terms of caloric value.

This implies that, respectively, 24,5% and 36,5% of the variability in the productivity

variable occurs between cellules, while 75,5% and 63,5% occurs within cellules. This nested-

engendered intra-class correlation seems to be sufficiently large to justify random coefficients

in the regression analysis.

The second question is which independent variables should be assigned fixed slopes and

which have to be treated as random coefficients. Bickel (2007) points to the importance of

substantive theoretical knowledge when making this decision. He highlights that the inclusion

of too many random coefficients may make the model too complex and difficult to interpret.

Table 2, however, indicates that there are significant differences across different agricultural

zones for the variables accounting for farm size, farm fragmentation, crop diversification and

multicropping. Therefore, we opt for specifying the effect of all four variables as random.

INSERT TABLE 2

The final question to answer is which contextual variables may account for the variation in

the random intercept and slope of these four variables. Differences in soil fertility are one

possible explanation, but there may be others unaccounted for in our model.

18 The intra-class correlation coefficient is calculated by dividing between-group variability by the sum of between-group variabilities and within group variabilities. ‘Unconditional’ means that there are no explanatory variables in the equation when calculating this coefficient.

17

For the purpose of this analysis, all variables have been grand-mean centered. This reduces

the risk of problematic correlations between random components19; and it facilitates the

interpretation of the intercept as the estimated value of the dependent variable when all

independent variables are equal to their means (Bickel, 2007).

The estimated level-one model is given by:

Level-one model

IJJJJJJIJ eALAMCFLY +++++++= *lnlnln 6543210 βββββββ

where YIJ is productivity of household I in cellule J, β0J is the intercept for cellule J with a

fixed and random component. β1J,, β2J, β3J, β4J are the random slopes of the explanatory

variables accounting for farm size (L – area of cultivated land), farm fragmentation (F –

number of plots over which the land is fragmented), crop diversification (C – number of

crops cultivated on the farm in season A and season B), and multicropping (M – share of the

farm used for multicropping) - with a fixed and a random component. β5, and β6 are the fixed

slopes of explanatory variables accounting for family size (A – adult equivalents per

household), and the interaction term lnL*A, which accounts for the possible variation in the

relationship between farm size and productivity dependent upon household size.

The level-two models for the intercept and the slopes of the random coefficients L, F, C and

M are:

Level-two model

19 “Covariances among random slopes and between random slopes and random intercepts have consequences that are comparable to multicollinearity. When relationships among these various factors are strong, they interfere with efficient estimation of random regression coefficients. Grand-mean centring of all independent variables is a useful corrective” (Bickel, 2007: 137).

18

JJ

JJ

JJ

JJ

JJ

uSuSuSuSuS

441404

331303

221202

111101

001000

++=++=++=++=++=

γγβγγβγγβγγβγγβ

where the random intercept (β0J) and random slopes (β1J,, β2J, β3J, β4J) are expressed as

functions of the contextual level-two variable S (soil quality at the cellule level).

The complete multilevel model can be specified as follows:

Full model

)ln(****ln

*lnlnln

43210

4131211101

654030201000

IJJJJJJ

IJ

eMuCuFuLuuSMSCSFSLS

ALAMCFLY

+++++++++++

++++++=γγγγγ

ββγγγγγ (Model 1 and 3)

The full model combines the level-one and level-two models. γ00 is the common intercept

across cellules; and γ01 is the effect of the cellule-level variable S on cellule-specific

intercepts. γ10, γ20, γ30, γ40, are the common slopes of household-level variables L, F, C and M

across cellules; γ11, γ21, γ31, and γ41 are the effects of the group-level variable S on the cellule-

specific slope of L, F, C and M. β5, and β6 have been defined above.

Considering the estimated multilevel model (see Table 3, model 1 and 3), we find that the

coefficients of the contextual variable and cross-level interaction term are insignificant.

Indeed, the conditional intra-class correlation20 for the model with the contextual variable

included (23,3% for productivity in monetary value, 35,6% for productivity in caloric value)

is not much smaller than the unconditional intra-class coefficient calculated above. This

20 The conditional intra-class correlation coefficient is calculated in the same way as the unconditional coefficient, except for the fact that the contextual variable and cross-level interactions are included as explanatory variables. If the conditional intra-class correlation coefficient is considerably smaller than the unconditional coefficient, then the contextual factor explains a considerable part of the nesting-engendered intra-class correlation.

19

suggests that the inclusion of soil fertility as a contextual variable adds little to the

explanatory power of the overall model.

INSERT TABLE 3

Therefore, as an alternative to this complex multilevel model, we might as well consider the

simpler random coefficient model. Such a model still allows coefficients to vary across

groups (cellules), but does not try to explain this variability using contextual variables and

cross-level interaction terms. The simplified model is:

Level-one model

IJJJJJJIJ eALAMCFLY +++++++= *lnln'ln 6543210 βββββββ

Level-two model

JJ

JJ

JJ

JJ

JJ

uuuuu

4404

3303

2202

1101

0000

+=+=+=+=+=

γβγβγβγβγβ

Random coefficient model

)ln(lnlnln

43210

54030201000

IJJJJJJ eMuCuFuLuuAMCFLY

+++++++++++= βγγγγγ

(Model 2 and 4)

20

A comparison of the predictive value of the multilevel versus random coefficient models

brings forward several elements in favor of the latter21. Comparing the variance – covariance

parameters of both estimation methods (tables 4.1 to 4.4), indicates that household-level

variances and covariances – both in terms of magnitude and in terms of their significance -

are barely influenced by the inclusion of soil fertility as a contextual variable. The between-

cellule variability is, therefore, likely to be caused by other contextual factors for which no

data are available.

INSERT TABLES 4.1 TO 4.4

Let us have a closer look at the results of the random coefficient model which fits our data

best (see Table 3, models 2 and 4). First of all, farm fragmentation and the frequency of

multicropping have a small but significant positive impact upon productivity. An additional

plot adding to the number of plots over which the farm is distributed, results in a 0,1%

increase in productivity (for both measures). The effect of a percentage increase in soil

covered with multicropping is marginal: it raises productivity with 0,007 or 0,004%

(dependent upon the productivity measure used). The relationship between productivity and

crop diversification on the other hand, is not significant. These data suggest that farm

fragmentation and multicropping are not necessarily counterproductive to maximizing

farmers’ productive output.

The most important finding of this random coefficient model, however, is that the strong

inverse relationship between farm size and productivity holds. Whereas coefficients for all 21 Indeed, the summary measure R1² - indicating the percentage with which the model reduces errors in predicting productivity when compared with the null unconditional model - is not much better for the multilevel regression (Table 3, models 1 and 3) than for the random coefficient model (Table 3, models 2 and 4). Also, when comparing the information criteria for both estimation methods, we find that the multilevel model does not provide a substantially better fit in comparison to the random coefficient model.

21

other variables are small, the effect of farm size upon productivity is not only significant and

negative, but also quite considerable: if farm size doubles, then productivity per hectare

decreases with 53%.

This inverse relationship between farm size and productivity has also been identified in other

settings. The issue was identified early in the twentieth century (in the work of Chayanov,

1926 on Russian farms), but took up speed with the work of Sen (1962) on India. The

influential research of Berry and Cline (1979) and Cornia (1985) also pointed to a strong

inverse relationship22. Heltberg (1998) and Kimhi (2006) found an inverse relationship after

controlling for diverse plot characteristics (e.g. soil quality). However, even if an inverse

relationship is identified, one should be careful to not automatically interpret this as a mere

reflection of small-scale farmers’ higher efficiency.

In fact, small-scale peasants may be obliged to overexploit the land at their disposal. Akram-

Lodhi mentions that the greater productivity of small-scale farmers may be a ‘survival

mechanism of the poor’ rather than a ‘mechanism of potentially poverty-eliminating

accumulation’ (Akram-Lodhi, 2007: 560). Examples of these survival mechanisms have been

elaborated by other authors. Binswanger and Rosenzweig (1986), for example, point to the

possibility that imperfections on the labor market may prevent labor-selling households from

allocating their labor force in the most optimal way, resulting in overemployment on the own

farm that leads to an inverse relationship. Barrett (1996) adds that food price risks may incite

small-scale peasants to deliberately opt for employing their labor force in an excessive way,

“beyond even their shadow valuation of labor” (Barrett, 1996). Assunção and Ghatak (2003) 22 Dyer (2004), however, found significant flaws in the approach of Berry and Cline, and pointed to the importance of disaggregating data. In their recent work, Johnston and Le Roux (2007) gave a short overview of disaggregated studies and found a diverse pattern of results, “… with some finding a clear inverse relationship, others a positive relationship and still others describing a convex or concave relationship.” (Johnston and Le Roux, 2007: 357).

22

point to the possibility that the inverse relationship might be the result of self-selection

among the peasants, where efficient small-scale peasants have higher opportunity costs to

engage in wage labor.

Another issue is whether the inverse relationship will hold with the introduction of new

technologies. A study focussing on the Indian case indicates that, “the inverse relationship

between yields and farm size, although valid for a traditional agriculture, cannot be assumed

to exist in an agriculture experiencing technical change” – certainly when the transformation

is of the Green Revolution type (Deolalikar, 1981: 275). Based on data for the Thar Desert in

India, Ram et alii (1999) find that the inverse relationship weakened with the increased

availability of size-neutral biotechnology and differences in management input. Bhalla and

Roy (1988), on the other hand, do confirm a weakened inverse relationship comparing Indian

data for 1970 and 1976. But they reject the hypothesis that this was the result of technological

change induced by the green revolution23. In any case, the World Development Report 2008

specifies that “economies of scale in the ‘new agriculture’ often are the key for obtaining

inputs, technology, and information and in getting products to the market. As agriculture

becomes more technology driven and access to consumers is mediated by agroprocessors and

supermarkets, economies of scale will pose major challenges for the future competitiveness

of smallholders” (World Bank, 2007: 91-92).

This is what happened in several settings during the first Green Revolution phase (1960s and

1970s) in Asia, Middle and South America. Griffin (1979: 53) points to the responsibility of

policy makers in this process: “Perhaps the most important reason for the bias [in favor of

large-scale farming] of the ‘green revolution’ is the bias of government policy. For many 23 Another study by Carter (1984), finds that even with post-Green Revolution data for India a strong inverse relationship continues to exist. The author concludes that, “these results suggest that small-scale agriculture warrants attention as a base for agriculture development in a land scarce economy” (Carter, 1984: 144).

23

years research, extension and investment programs in agriculture have been devoted to

raising output (preferably exportable output); their primary concern has not been to increase

the welfare of the rural population and improve the distribution of income and wealth. […]

Large farmers have been granted generous incentives to mechanize, while small farmers have

been denied the credit necessary to improve their operations.”

Regardless of whether the inverse relationship is the result of small-scale farmers’ higher

efficiency or whether it is caused by other factors, small-scale farming is a reality for a large

majority of peasants in Sub-Saharan Africa. Policy instruments should therefore enhance

smallholders’ competitiveness in order to ensure the pro-poor effect of agricultural growth.

But these can only be developed in line with the rationale of small-scale peasants. It is

therefore crucial to consider the ‘views from below’ in order to determine peasants’

opportunities and challenges, and to identify the institutional barriers that constrain

smallholders from taking up a key role in pro-poor agricultural growth.

3. Views from below: a qualitative insight into peasants’ rationale

Whereas the empirical evidence in the previous section was based upon quantitative data, this

section draws upon more than seventy qualitative focus group interviews with peasants from

various socio-economic layers in six different settings (see table 5). We consider peasants’

opinions on land consolidation and concentration; and on monocropping and regional crop

specialization.

With regards to the issue of land consolidation and concentration, we asked peasants’

opinions on the idea to cultivate land together on consolidated plots which would facilitate all

24

sorts of economies of scale effects (improved crop types, improved access to fertilizer,

potential use of technologies on larger surfaces, …). Peasants in all different settings and

from all socio-economic layers raised considerable concerns. The objecting arguments can be

subdivided into three categories.

First, peasants referred to the importance of ownership rights on their landholdings. In fact,

peasants have some experience with government-imposed land consolidation in the

swamplands. However, swampland has a different status in comparison to land in the hills. It

was officially qualified as state property under both the Habyarimana and the Kagame

administration; and even when peasants claim implicit ownership rights on swamplands, they

are more ready to accept state involvement on those plots. As a result, respondents in various

settings referred to land consolidation as ‘possible’ (although often very much resented) in

the swamps, but considered it as totally impossible in the hills. In those hills, land ownership

is perceived as an individual and fundamental right. ‘People have their own ways of doing

things’, and value their individuality in making agricultural decisions. A participant of a

better-off focus group in umudugudu D put it very clear: ‘You can not touch upon the land of

another. If you do that, he will cut you into pieces’. A fellow participant added that pleading

for plot consolidation would be considered as an act of aggression towards others.

To ground these rather bold statements, focus group participants raised a second group of

arguments referring to more practical objections against consolidation. With regards to

consolidation of neighboring plots, participants highlighted that adjacent plots do not

necessarily have the same fertility and productivity for a certain crop type. In addition, people

may have different capacities in terms of physical and moral force. A respondent in

umudugudu D mentioned that ‘a lazy one should stay lazy in his own place without living on

25

the expense of others’. This diverse capacity of plots (productive capacity) and of owners

(working capacity), would complicate the division of harvests on consolidated land. But also

within families, the idea of keeping inherited land consolidated by cultivating it collectively

with all descendents is considered as problematic. Respondents mentioned that power

relations within the family would play a huge role at the detriment of the weaker actors (e.g.

widows, sisters, orphans).

A third group of objecting arguments focused on the difficulty or impossibility to reconcile

the diverse needs of different socio-economic layers with regards to land management.

Whereas better-off categories can invest in crops with a longer cultivation cycle, poorer

categories are often obliged to turn to crops with shorter cultivation cycles. Moreover,

immediate food needs may oblige poorer peasants to harvest prematurely, whereas better-off

categories can wait until crops are fully grown. These diverse needs make an agreement on a

joint project nearly impossible.

Turning to the idea of the Rwandan governments’ crop intensification program, we gathered

peasants’ opinions on monocropping and regional crop specialization. Here, opinions on the

desirability of such policies were more differentiated, dependent upon the socio-economic

category and the setting in which respondents lived.

Overall, participants raised three different arguments in favor of multicropping. First, it

minimizes the risk of a crop disease or a particular climatic condition ruining the whole

harvest. Or in the words of a participant in umudugudu D, ‘multicropping is a way to be

cautious, you may loose on one side and win on the other’. Second, multicropping is

considered to be a more flexible system in the absence of manure, which is seen as a

26

prerequisite to have good harvests with monocropping. Finally, multicropping may give a

higher production when combining complementary crop types (e.g. beans and bananas in

umudugudu B; beans and maize or sorghum and cassava in umdugudu D, soya and maize in

umudugudu F).

However, some peasants had good experiences with monocropping (e.g. with cassava in

umudugudu B), and peasants in all settings did acknowledge that under the right conditions

(if improved seed/manure/fertilizers are available, if the cultivated land surface is sufficiently

large, if the appropriate training is provided) monocropping could enhance productivity. But

participants generally found that the potential benefits of monocropping in terms of

productivity do not outweigh the risk involved, and highlighted that this risk is more

prominent for poorer categories. It were indeed mostly the better-off categories that seemed

more favorable to the idea of monocropping, and only on those parts of the land not needed

for self-subsistence.

This brings us to the issue of regional crop specialization, again subject of mixed feelings in

various settings and among poorer and better-off categories. Peasants of all categories were

very reluctant to the idea of being obliged to focus on few and very particular crops. Most

often mentioned was that specializing in one (or few) crop(s) renders peasants extremely

vulnerable to the many diseases and bad climatic conditions that frequently hit the local

setting. Focus group participants also pointed out that the different crops they cultivate each

have a particular function in their livelihood cycles. And different categories of peasants with

their particular needs may prefer different types of crops. A participant used the expression

that ‘one may be neighbors, but not from the same family’ to indicate that peasants from

different categories may not agree on which crop type to specialize. Furthermore, the large

27

diversity of soil types – even up to the very local level – makes it difficult to pinpoint one or

few ‘suitable’ crops per region.

At the same time, better-off categories raised arguments in favor of voluntary regional

specialization, which would facilitate the stocking and selling of crops in collaboration with

others to bargain a good price. But at the same time, they remained attached to the idea of

self-subsistence. A person in umudugudu A raised: ‘Why would I concentrate on one crop

type to trade this while my plots can procure me of all I need’? In umudugudu B, where

better-off peasants do concentrate on cassava production, they still produce other crops that

they need for self-subsistence.

This attitude is linked to the poor functioning of the local markets. First of all, peasants raised

the problem of extreme price fluctuations, making profits unpredictable. Moreover, their

bargaining power in the commodity chain is extremely limited, which allows intermediary

brokers to speculate and make high profits at local actors’ expense. This problem is partly

due to the lack of access to transport, but also related to a lack of public space for

cooperatives that are managed from the bottom up.

Overall, we found that peasants of all types were reluctant towards the formulated

‘productivity enhancing’ governmental policies. On the one hand, they value their own local

production methods that allow them to minimize the multiple risks they are confronted with.

On the other hand, they did acknowledge that some of the proposed measures could enhance

their productivity but only under the ‘right’ conditions. Such conditions depend upon whether

the present institutional constraints – all the more pressing for poorer categories – can be

removed.

28

4. Conclusion: policy discussions

In our introduction, we have pleaded for a Green Revolution approach that provides positive

stimuli to small-scale peasants and to consider the potential and sustainability of small-scale

agricultural production. Another matter is how to achieve this objective in the Rwandan

context.

Are the promotion of monocropping and regional crop specialization the right approaches to

reach this objective? Potentially, but given the current agro-technological situation, risk-

minimizing techniques like crop differentiation and multicropping do not only allow

Rwandan peasants to optimize their survival chances, but they also seem to pay off in terms

of land productivity. Therefore, a blind enforcement of monocropping and regional

specialization could have a perverse impact upon agricultural growth. In any case, policy

makers should recognize the capacity of small-scale peasants to make rational choices. In

some situations, the locally-embedded traditional techniques will guarantee maximal

productivity. In other cases, new techniques may upgrade current production rates of small-

scale farmers, but only under the condition that institutional constraints are removed.

Policies could for example facilitate peasants’ access to risk reduction mechanisms, e.g.

through cheap crop insurance for small-scale peasants and through social safety nets for

vulnerable groups. Such mechanisms can prevent peasants from falling into a chronic poverty

trap in case of crop failure or temporary unemployment. An easily accessible micro-credit

system with minimal or no bail requirements could allow smallholder farmers to invest more

in commercially-oriented agriculture. But at the same time, this provision would allow

29

peasants to explore the possibility to (partially) transform themselves in non agricultural

entrepreneurs. The rotating savings associations that already function at the lowest level are a

way to channel money towards the local sphere. At this point, however, credit suppliers focus

on maximum profits for minimum risk, which works in favor of large scale producers with

ambitious projects and an ability to provide a bail. This calls into question the ambition of the

Rwandan government to rely on the private sector to provide credit at the micro level.

The next step in the policy discussion is to consider the relative bargaining positions of both

small-scale and large-scale farmers in local and regional markets. Small-scale farmers face

two constraints. First, their transaction costs per unit (e.g. transport costs) to get their product

to the market will often be higher than large-scale farmers. Second, their bargaining position

in price negotiations is limited given the smaller quantities they offer. Policy makers,

therefore, could concentrate on enhancing the relative market power of peasants by

promoting initiatives that bring them together (e.g. by encouraging the development of

cooperatives). However, all depends upon the role of smallholders in the governance

structure of the cooperative. Without equilibrated power relations, cooperatives risk to

become an additional exploitative tool in the hands of powerful intermediary brokers.

Furthermore, cooperatives should be sufficiently flexible to allow for switches in crop types

and should be capable of facilitating trade of small quantities.

In the long term, however, we do acknowledge that there are limitations to small-scale

farming, certainly when farm sizes continue to decrease below a critical margin. Land

concentration will most likely be unavoidable as land scarcity will eventually lead to

crowding-out in the agricultural sector. But this should not be artificially accelerated through

government-led land consolidation and concentration movements. If one could stimulate a

30

broad-based growth within the agricultural sector at this stage, this could create a rural

middle class. Such middle class would more likely reinvest its profits into the local economy

than if growth is accumulated in the hands of fewer better-off and more urban-oriented

actors. As a result, the gains of agricultural growth could more easily trickle-down to the

remainder of rural society, e.g. through investments at the local level in small-scale

agricultural and off-farm activities that take on board pure wage laborers. At the same time,

the Rwandan government could further enhance the capacity of this last group by providing

training and technical education and by avoiding that they fall into a chronic poverty trap

through social safety nets.

Overall, the Rwandan case study incorporates important lessons for the Green Revolution

ambition in Sub-Saharan Africa. Instead of focusing upon maximal agricultural growth and

maximal productivity, the primary focus should lay on how poor groups can participate in

rural-oriented growth strategies. Key issues are the removal of the institutional constraints

that prevent small-scale farmers from adopting new types of agriculture and/or diversify their

income portfolio away from subsistence agriculture. Major attention should go to the

expansion of off-farm entrepreneurship opportunities which would provide peasant

households with alternative options for their labor force. Furthermore, policy makers should

be willing to enhance the bargaining position of smallholders (versus larger farmers) in food,

land and credit markets. But finally, attention should also be paid to the intra-household

distribution of assets, decision making power, and the work load in income-generating and

other household activities.

Indeed, livelihoods of rural populations will increasingly become detached from farming and

from land property in the future. But only if the rural society passes through a first stage of

31

broad-based agricultural growth in which small-scale peasants play a central role; then will

growth trickle-down to poorer groups dependent upon pure wage labor; and will it be

maximally pro-poor. Therefore, we plead for a Green Revolution with a primary focus on

optimal inclusion of smallholders instead of blindly aiming for maximal production output.

32

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37

Table 1 Summary statistics

Mean Median St. Dev. Minimum Maximum

Monetary value of production forseason 2001A and 2001B (Rwf) 272.804 172.836 389.131 0 9.061.270

Caloric value of production for season 2001A and 2001B (Kcal per year)

4.327 3.098 4.731 70 79.197

Farm size (hectares) 0,82 0,57 0,86 0,02 8,46

Farm fragmentation (average number of blocs considering season 2001A and 2001B)

3,15 3,00 1,97 1,00 15,00

Crop diversification (sum of number of crops in season 2001A and 2001B)

12,40 12,00 4,27 3,00 28,00

Multicropping (percentage of cultivated land surface covered with multicropping technique)

53,47 53,12 25,27 0,00 100,00

Adult equivalent (number of adultequivalents in the household) 4,52 4,23 2,02 0,70 13,95

Soil quality (calculation explained above) 0,36 0,35 0,11 0,13 0,80

Population density (people per km²) 386,06 357,00 206,63 26,00 1.486,00

Distance to market (km) 4,18 3,00 4,53 0,00 32,00

Note: The calculation of summary statistics is based upon the sample size of 1357 households for all variables measured at the household level. The calculation of summary statistics for cellule-level variables is based upon the sample of 125 cellules. Source: Calculations based upon EICV and FSRP datasets (2001)

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Table 2: Crop choice per agricultural region AGRICULTURAL ZONEa: 1 2 3 4 5 6 Total Number of households 32 65 77 52 265 133 1357 Farm size Median 0.19 0.45 0.48 0.54 0.53 0.35 Mean 0.44 0.64 0.67 0.81 0.83 0.48 St. Dev. 1.04 0.73 0.75 0.67 0.95 0.40 Farm fragmentation Median 3.00 2.00 3.00 4.50 3.00 3.50 Mean 1.97 1.94 3.81 4.58 3.05 4.00 St. Dev. 0.57 0.89 2.19 2.09 1.54 1.98 Number of crops Median 6.00 10.00 10.00 10.00 11.00 14.00 Mean 7.27 10.51 10.53 10.38 11.36 13.90 St. Dev. 3.28 3.07 3.01 3.05 3.78 3.77 % of multicropping Median 43.34 62.05 45.65 52.48 40.81 58.70 Mean 50.22 61.02 48.36 47.40 44.47 55.93 St. Dev. 26.62 24.54 26.84 26.65 23.39 22.67

Agricultural zones: 1. Imbo, 2. Impara, 3. Kivu Lake Borders, 4. Birunga, 5. Congo-Nile Watershed Divide, 6. Buberuka, 7. Central Plateau, 8. Granitic Ridge, 9. Mayaga, 10. Bugesera, 11. Eastern Plateaus, 12. Eastern Savana’s. Source: Calculations based upon EICV and FSRP datasets (2001)

Table 2 (continued): Crop choice per agricultural region AGRICULTURAL ZONEa: 7 8 9 10 11 12 Total Number of households 254 81 68 17 180 133 1357 Farm size Median 0.60 0.61 0.75 0.71 0.67 1.00 0.57 Mean 0.89 0.88 1.02 0.91 0.88 1.09 0.82 St. Dev. 1.02 0.86 0.97 0.69 0.81 0.58 0.86 Farm fragmentation Median 2.00 2.50 2.50 2.50 3.00 3.00 3.00 Mean 2.72 2.60 2.83 2.89 3.44 3.12 3.15 St. Dev. 2.05 1.31 1.92 1.12 2.27 1.63 1.97 Number of crops Median 12.00 12.00 13.00 13.00 14.00 16.00 12.00 Mean 11.79 12.44 13.22 11.48 14.18 15.48 12.40 St. Dev. 3.90 3.63 4.32 4.56 5.10 3.68 4.27 % of multicropping Median 59.00 64.21 48.75 38.35 59.18 57.40 53.12 Mean 57.01 59.18 47.30 37.39 58.54 57.37 53.47 St. Dev. 26.65 22.70 22.99 22.25 25.69 20.10 25.27

Agricultural zones: 1. Imbo, 2. Impara, 3. Kivu Lake Borders, 4. Birunga, 5. Congo-Nile Watershed Divide, 6. Buberuka, 7. Central Plateau, 8. Granitic Ridge, 9. Mayaga, 10. Bugesera, 11. Eastern Plateaus, 12. Eastern Savana’s. Source: Calculations based upon EICV and FSRP datasets (2001)

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Table 3: Farm size – productivity relationship – Various regressions Productivity as independent variable

Measured in monetary value24 Productivity as independent variable

Measured in caloric value25

Variable Multilevel

regression with 2 levels

Random coefficient

regression with 2 levels

Multilevel regression with 2

levels

Random coefficient

regression with 2 levels

(1) (2) (3) (4)

N1=1312 N2=125

N1=1312 N2=125

N1=1357 N2=125

N1=1357 N2=125

Intercept 0.078 (0.087) 0.077 (0.087) -0.010 (0.058) -0.010 (0.057)

LnL (farm size) -0.528 (0.067) ***

-0.526 (0.067) ***

-0.535 (0.049) ***

-0.534 (0.049) ***

F (farm fragmentation) 0.133 (0.028) ***

0.132 (0.028) ***

0.119 (0.019) ***

0.120 (0.019) ***

C (crop diversification) -0.025 (0.016) -0.025 (0.016) 0.021 (0.011) 0.021 (0.011)

M (multicropping) 0.007 (0.002) ***

0.007 (0.002) ***

0.004 (0.001) *

0.004 (0.001) *

A (adult equivalent) 0.079 (0.001) ***

0.079 (0.001) ***

0.032 (0.001) ***

0.032 (0.001) ***

LnL*A -0.034 (0.001) ***

-0.034 (0.001) ***

-0.014 (0.001) ***

-0.014 (0.001) ***

S (soil quality) 0.422 (0.765) 0.049 (0.507)

lnL*S -0.424 (0.593) -0.428 (0.435)

F*S 0.151 (0.249) -0.300 (0.166)

C*S -0.037 (0.145) 0.012 (0.101)

M*S 0.017 (0.018) -0.006 (0.013)

R1² 0.229 0.220 0.297 0.284

Unstandardised coefficients, figures in parenthesis are estimated standard errors, * significant at 0.05 level; ** significant at 0.01 level, *** significant at 0.001 level. Source: Calculations based upon EICV and FSRP datasets (2001)

24 The sample sizes are different for both regressions. Here, the productivity variable is based on data in the EICV survey, while the other variables at the household level are based on the FSRP sample. The sample size represents the overlap between both samples. 25 The sample sizes are different for both regressions. Here, all variables at the household level are based on the FSRP sample. The sample size represents the data for which all information included in the regression (seasons A and B) is available.

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Table 4.1: Estimates of covariance parameters for model (1) Productivity as independent variable measured in monetary value

Parameter Estimate St. Error Wald Z Sign. Residual 0,412 0,001 423,193 0,000 Random intercept variance 0,949 0,121 7,842 0,000 Covariance between intercept and slope of L -0,016 0,066 -0,236 0,813 Random slope variance of L 0,570 0,073 7,840 0,000 Covariance between intercept and slope of F 0,025 0,028 0,887 0,375 Covariance between slope of L and slope of F -0,050 0,022 -2,257 0,024 Random slope variance of F 0,100 0,013 7,801 0,000 Covariance between intercept and slope of C 0,041 0,017 2,460 0,014 Covariance between slope of L and slope of C -0,063 0,014 -4,558 0,000 Covariance between slope of F and slope of C -0,004 0,005 -0,802 0,422 Random slope variance of C 0,034 0,004 7,845 0,000 Covariance between intercept and slope of M -0,002 0,002 -0,908 0,364 Covariance between slope of L and slope of M 0,009 0,002 4,966 0,000 Covariance between slope of F and slope of M 0,000 0,001 0,015 0,988 Covariance between slope of C and slope of M -0,001 0,000 -2,536 0,011 Random slope variance of M 0,001 0,000 7,838 0,000

Source: Calculations based upon EICV and FSRP datasets (2001)

Table 4.2: Estimates of covariance parameters for model (2) Productivity as independent variable measured in monetary value

Parameter Estimate St. Error Wald Z Sign. Residual 0,412 0,001 423,193 0,000 Random intercept variance 0,944 0,120 7,874 0,000 Covariance between intercept and slope of L -0,018 0,066 -0,272 0,786 Random slope variance of L 0,568 0,072 7,871 0,000 Covariance between intercept and slope of F 0,025 0,028 0,917 0,359 Covariance between slope of L and slope of F -0,050 0,022 -2,296 0,022 Random slope variance of F 0,100 0,013 7,832 0,000 Covariance between intercept and slope of C 0,040 0,016 2,455 0,014 Covariance between slope of L and slope of C -0,062 0,014 -4,554 0,000 Covariance between slope of F and slope of C -0,004 0,005 -0,818 0,414 Random slope variance of C 0,034 0,004 7,876 0,000 Covariance between intercept and slope of M -0,002 0,002 -0,860 0,390 Covariance between slope of L and slope of M 0,009 0,002 4,919 0,000 Covariance between slope of F and slope of M 0,000 0,001 0,066 0,947 Covariance between slope of C and slope of M -0,001 0,000 -2,557 0,011 Random slope variance of M 0,001 0,000 7,870 0,000

Source: Calculations based upon EICV and FSRP datasets (2001)

Table 4.3: Estimates of covariance parameters for model (3) Productivity as independent variable measured in monetary value

Parameter Estimate St. Error Wald Z Sign. Residual 0,191 0,000 430,762 0,000 Random intercept variance 0,417 0,053 7,841 0,000 Covariance between intercept and slope of L -0,011 0,032 -0,355 0,722 Random slope variance of L 0,307 0,039 7,842 0,000 Covariance between intercept and slope of F 0,006 0,012 0,497 0,619 Covariance between slope of L and slope of F -0,003 0,011 -0,310 0,757 Random slope variance of F 0,045 0,006 7,826 0,000 Covariance between intercept and slope of C 0,020 0,008 2,634 0,008 Covariance between slope of L and slope of C -0,041 0,007 -5,582 0,000 Covariance between slope of F and slope of C -0,005 0,002 -2,105 0,035 Random slope variance of C 0,016 0,002 7,851 0,000 Covariance between intercept and slope of M -0,001 0,001 -0,723 0,470

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Covariance between slope of L and slope of M 0,004 0,001 4,628 0,000 Covariance between slope of F and slope of M 0,000 0,000 0,190 0,849 Covariance between slope of C and slope of M 0,000 0,000 -2,509 0,012 Random slope variance of M 0,000 0,000 7,839 0,000

Source: Calculations based upon EICV and FSRP datasets (2001)

Table 4.4: Estimates of covariance parameters for model (4) Productivity as independent variable measured in monetary value

Parameter Estimate St. Error Wald Z Sign. Residual 0,191 0,000 430,762 0,000 Random intercept variance 0,414 0,053 7,873 0,000 Covariance between intercept and slope of L -0,012 0,032 -0,364 0,716 Random slope variance of L 0,307 0,039 7,874 0,000 Covariance between intercept and slope of F 0,006 0,012 0,479 0,632 Covariance between slope of L and slope of F -0,002 0,011 -0,150 0,881 Random slope variance of F 0,046 0,006 7,859 0,000 Covariance between intercept and slope of C 0,020 0,008 2,646 0,008 Covariance between slope of L and slope of C -0,041 0,007 -5,594 0,000 Covariance between slope of F and slope of C -0,005 0,002 -2,105 0,035 Random slope variance of C 0,016 0,002 7,883 0,000 Covariance between intercept and slope of M -0,001 0,001 -0,730 0,465 Covariance between slope of L and slope of M 0,004 0,001 4,657 0,000 Covariance between slope of F and slope of M 0,000 0,000 0,255 0,799 Covariance between slope of C and slope of M 0,000 0,000 -2,521 0,012 Random slope variance of M 0,000 0,000 7,871 0,000

Source: Calculations based upon EICV and FSRP datasets (2001)

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Table 5: Research settings included in qualitative research

Characteristics

A

Location: very close to Kigali city and location of a large market that provisions Kigali with food and meat Average wealth and employment opportunities: among the richer imidugudu in the sample (referring to the average peasant’s situation) but big social gap between large-scale farms (often owned by outsiders) and local peasants, other employment opportunities besides agriculture but less since some of these activities have been stopped by Rwandan authorities Specificities: Lot of temporary immigrant workers

B

Location: less remote and small commercial center within its own region, fertile region, less hilly Average wealth and employment opportunities: best-off umudugudu in the sample (average peasant’s situation), population lives from agriculture, lot of monocropping of cassava and coffee, lot of production for the market, cassava was affected by disease but situation improves

C

Location: very close to Gitarama city, average fertility, less hilly Average wealth and employment opportunities: among poorer imidugudu in the sample (average peasant’s situation), lot of employment opportunities besides agriculture in the past (brick making, bicycle taxi), but not anymore due to prohibition by Rwandan authorities Specificities: external actor (German NGO) has set up a development project (marshland valorization with rice cultivation)

D

Location: very remote and poorly accessible, overpopulated, infertile soils Average wealth and employment opportunities: poorest umudugudu in the sample (average peasant’s situation) , lot of agricultural labor force but limited employment opportunities in the local setting, both within the agricultural and non-agricultural sector; significant group looks for temporary work elsewhere Specificities: lot of chronic malnutrition, distrust among local population

E

Location: less remote, households live dispersed over hill and no real center, quite fertile region Average wealth and employment opportunities: poorer imidugudu in the sample (average peasant’s situation), few peasants are auto subsistent, few other employment opportunities besides agriculture, less agricultural commerce than before due to disease that affected cassava (main crop) Specificities: lot of people are in prison or are ex-prisoners, big distinction in well-being of different social categories - lot of social conflicts - Ministry of Defence has a coffee washing installation in this umudugudu

F

Location: remote, but small commercial center within its own region, quite fertile region with clayish soil Average wealth and employment opportunities: among richer imidugudu in the sample (average peasant’s situation); lot of banana production to make banana bear that is sold in the local center, lot of commerce in local ‘boutiques’

Source: Description based upon own research


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