WPS4307


Policy ReseaRch WoRking PaPeR                         4307




                            Crop Selection

                Adapting to Climage Change in Africa

                              Pradeep Kurukulasuriya
                                 Robert Mendelsohn




The World Bank
Development Research Group
Sustainable Rural and Urban Development Team
August 2007

Policy ReseaRch WoRking PaPeR 4307


 Abstract

 This paper examines whether the choice of crops is                                   tolerant crops. Depending on whether precipitation
 affected by climate in Africa. Using a multinomial logit                             increases or decreases, farmers will also shift toward
 model, the paper regresses crop choice on climate, soils,                            drought tolerant or water loving crops, respectively.
 and other factors. The model is estimated using a sample                                There are several policy relevant conclusions to draw
 of more than 7,000 farmers across 11 countries in Africa.                            from this study. First, farmers will adapt to climate
   The study finds that crop choice is very climate                                   change by switching crops. Second, global warming
 sensitive. For example, farmers select sorghum and maize-                            impact studies cannot assume crop choice is exogenous.
 millet in the cooler regions of Africa; maize-beans, maize-                          Third, this study only examines choices across current
 groundnut, and maize in moderately warm regions' and                                 crops. Future farmers may well have more choices. There
 cowpea, cowpea-sorghum, and millet-groundnut in hot                                  is an important role for agronomic research in developing
 regions. Further, farmers choose sorghum, and millet-                                new varieties more suited for higher temperatures. Future
 groundnut when conditions are dry; cowpea, cowpea-                                   farmers may have even better adaptation alternatives with
 sorghum, maize-millet, and maize when medium wet;                                    an expanded set of crop choices specifically targeted at
 and maize-beans and maize-groundnut when wet. As                                     higher temperatures.
 temperatures warm, farmers will shift toward more heat




 This paper--a product of the Sustainable Rural and Urban Development Team, Development Research Group--is part
 of a larger effort in the group to mainstream climate change research. Policy Research Working Papers are also posted on
 the Web at http://econ.worldbank.org. The author may be contacted at robert.mendelsohn@yale.edu.




         The Policy Research Working Paper Series disseminates the findings of work in progress to encourage the exchange of ideas about development
         issues. An objective of the series is to get the findings out quickly, even if the presentations are less than fully polished. The papers carry the
         names of the authors and should be cited accordingly. The findings, interpretations, and conclusions expressed in this paper are entirely those
         of the authors. They do not necessarily represent the views of the International Bank for Reconstruction and Development/World Bank and
         its affiliated organizations, or those of the Executive Directors of the World Bank or the governments they represent.


                                                         Produced by the Research Support Team

          CROP SELECTION: ADAPTING TO CLIMATE CHANGE IN AFRICA1




                          Pradeep Kurukulasuriya and Robert Mendelsohn2




1An earlier version of this Working Paper was published as CEEPA Discussion Paper number 26.

2School of Forestry and Environmental Studies, Yale University, 230 Prospect St, New Haven, CT 06511, USA. E-
mails: pradeep.kurukulasuriya@yale.edu; robert.mendelsohn@yale.edu.

This paper was funded by the GEF and the World Bank. It is part of a larger study on the effect of climate change on
agriculture in Africa, managed by the World Bank and coordinated by the Centre for Environmental Economics and
Policy in Africa (CEEPA), University of Pretoria, South Africa.

SUMMARY

This paper examines whether the choice of crops is affected by climate in Africa. Using a

multinomial logit model, the paper regresses crop choice on climate, soils, and other factors. The

model is estimated using a sample of over 7000 farmers across 11 countries in Africa.


The study finds that crop choice is very climate sensitive. For example, farmers select sorghum

and maize-millet in the cooler regions of Africa, maize-beans, maize-groundnut, and maize in

moderately warm regions, and cowpea, cowpea-sorghum, and millet-groundnut in hot regions.

Further, farmers choose sorghum, and millet-groundnut when conditions are dry, cowpea,

cowpea-sorghum, maize-millet, and maize when medium wet, and maize-beans and maize-

groundnut when wet. As temperatures warm, farmers will shift towards more heat tolerant crops.

Depending upon whether precipitation increases or decreases, farmers will also shift towards

drought tolerant or water loving crops, respectively.


There are several policy relevant conclusions to draw from this study. First, farmers will adapt to

climate change by switching crops. This will inherently reduce the damages from climate change

as farmers move away from crops that cannot perform well in the new climate towards crops that

can. Governments and farmers should anticipate that new crops will be grown in places that

experience climate change.


Second, global warming impact studies cannot assume crop choice is exogenous. For example,

agronomic studies or studies that use weather as a proxy for climate, implicitly assume that crop

choice will not change as climate changes. Unless these studies treat crop choice as endogenous,

they will seriously overestimate the damages from warming.


Third, this study only examines choices across current crops. Future farmers may well have more

choices. There is an important role for agronomic research in developing new varieties more

suited for higher temperatures. Future farmers may have even better adaptation alternatives with

an expanded set of crop choices specifically targeted at higher temperatures.




                                                2

TABLE OF CONTENTS

Section                                        Page

  1     Introduction                              4

  2     Theory                                    5

  3     Data                                      7

  4     Results                                   9

  5     Conclusion and policy implications       12

        References                               14




                                          3

1. Introduction


Crop choice is frequently mentioned in the adaptation literature as a potential adaptation strategy

to climate change. Farmers make crop selections based on several criteria, including available

inputs such as labor (both hired and household), experience, availability of seed, prices,

government policy and a host of environmental factors such as climatic and soil conditions and

available surface flow. However, there are few studies that examine this question quantitatively.

How important are these different factors to crop choice? What role does climate play in

choosing crops? As climate changes, how will crop choice change?


In this paper, we estimate the climate sensitivity of specific crop choices made by farmers in

Africa. Research has shown that major grains will be extremely vulnerable to climate change in

Africa (Deressa et al. 2005; Gbetibouo & Hassan 2005; Rosenzweig & Parry 1994). Adaptation

strategies will be necessary to overcome the expected adverse impacts from higher temperature

and changing precipitation patterns. However, quantitative assessments on how farmers will

switch crops if climate changes are scarce. This research addresses this gap in the literature. The

modeling follows earlier research on the impact of irrigation as an adaptation strategy for African

agriculture (Kurukulasuriya & Mendelsohn 2006) and animal selection for African livestock

(Seo & Mendelsohn 2006). By examining the crop choices that farmers make across different

agro-ecological zones, the analysis centers on how farmers in different climate zones have

adapted to current climate. The results can then be used to predict how farmers in different

regions will adjust their portfolio of crops in the long run to climate change.


The next section outlines the modeling framework in the paper. Crop selection is analyzed within

the framework of a multinomial logit model (MNL). Section 3 outlines the available data.

Section 4 presents the results of the empirical modeling on crop choice. The paper concludes in

Section 5 with a discussion of the crop model results and the implications of climate change for

the agriculture sector in Africa.




                                                   4

2. Theory


We assume that each farmer makes his crop decisions to maximize profit. We examine choices

of individual crops as well as combinations of crops in each season. For example, farmers might

combine two different crops as a choice. The full set of choices is mutually exclusive: the farmer

must pick one choice from the full set. The probability that a crop or crop combination is chosen

depends on how profitable that choice is likely to be. We assume that farmer i's profit in

choosing crop set j (j=1,2,...,J) is




ij =V(Kj,Sj) +(Kj,Sj)                                                                      (1)




where K is a vector of exogenous characteristics of the farm and S is a vector of characteristics of

farmer i. For example, K could include climate, soils, and access variables and S could include

the age of the farmer and family size. The profit function is composed of two components: the

observable component V and an error term, . The error term is unknown to the researcher, but

may be known to the farmer. The farmer will choose the crop that gives him the highest profit.
Defining Z = (K,S), the farmer will choose crop j over all other crops k if:




*(Z ) > *(Zki)for k  j.[or if (Zki) -(Z ) <V(Z ) -V(Zki)for k  j]                          (2)
      ji                                        ji        ji




More succinctly, farmer i' s problem is:




   argmax[ *(Z1 ), *(Z2 ),..., *(ZJi) ]
                 i        i                                                                (3)




                                               5

The probability Pji of the jth crop being chosen is then




Pji = Pr[(Zki) -(Z ji) <Vj -Vk ]  k  j where Vj = V(Zji)                                                       (4)




Assuming  is independently Weibull distributed3 and Vk = Zki k +k ,




Pji =     eZji j
                                                                                                               (5)
          J  eZkik
          k=1




which gives the probability that farmer i will choose crop j among J choices (Chow 1983;

McFadden 1981).


The parameters can be estimated by Maximum Likelihood Method using an iterative non-linear

optimization technique such as the Newton-Raphson method. These estimates are CAN

(Consistent and Asymptotically Normal) under standard regularity conditions (McFadden 1999).


Greene (2003) shows that by differentiating the above with respect to the covariates, the

marginal effect of individual characteristics is:




         j =    Pj             K        
                                                                                                               (6)
                Xi   = j - Pkk = Pk(k -  )
                              
                              k =0




3Two common assumptions about the error term are either the Normal or the Weibull distribution. Normal random
variables have the property that any linear combination of normal varieties is normal. The difference between two
Weibull random variables has a logistic distribution, which is similar to the normal, but with larger tails. Thus, the
choice is somewhat arbitrary with large samples (Greene 2003).


                                                         6

Using the estimated relationship between climate and farm specific variables and crop choice

across current households, we measure the climate sensitivity of crop choice. As the agronomy

literature indicates a non-linear relationship between climate (temperature and precipitation) and

crop growth and by extension, crop revenues and climate, we model crop selection as a quadratic

function of climate. Moreover, as climate is not uni-dimensional, we distinguish between

seasonal temperature and precipitation. Following Greene (2003), climate sensitivities are

estimated by the change in expected probability from the marginal change in climate variables.

The estimated model is then used to predict marginal impacts of future climate change scenarios

on African agriculture. We examine the marginal impact of climate on crop choice.




3. Data


The data for this study were collected in 11 countries ­ Burkina Faso, Cameroon, Egypt,

Ethiopia, Kenya, Ghana, Niger, Senegal, South Africa, Zambia and Zimbabwe ­ by national

teams. In each country, districts were chosen to get a wide representation of farms across climate

conditions in that country. The districts are not representative of the distribution of farms in each

country as there are more farms in more productive locations. In each chosen district, a survey

was conducted of randomly selected farms. The sampling is clustered.


The number of surveys in each country varied, but a total of 9597 surveys were administered.

Some farmers did not grow crops. Some surveys contained incorrect information about the size

of the farm or area of cropland. Impossible values were judged to be missing. It is not clear what

the sources of these errors were. They may reflect field errors due to a misunderstanding of the

question, the units of measurement, or they may be intentional incorrect answers. Other surveys

did not contain clear information on crop type and are therefore excluded. The final number of
useable surveys for this analysis is 7296.4 The distribution of surveys by country is shown in

Table 1.




4Kurukulasuriya and Mendelsohn (2006) was based on an analysis of 9063 surveys (complete dataset used in the
Africa-wide Ricardian analysis). However, only a fraction of the farmers chose to grow crops.



                                                        7

Most of the surveys of farm production and input data are for the 2002­2003 agricultural year5.

In this paper, the analysis is undertaken at the farm level. Plot specific data on crops grown is

summarized to obtain the suite of crops grown throughout the year. The full dataset revealed 130

distinct combinations of crops. However, some of the combinations were rare, with only a

handful of observations. We only examine crop alternatives where there are at least 100

observations. We are restricted to analyzing this subset of the data given that the district specific

climate and soil variables place a limit on the number of covariates that can be accommodated in
the analytical framework.6 We therefore do not analyze very rare crop selections. Our primary

purpose is to investigate how climate change is likely to affect the crop choice that the majority
of farmers make and subsequently how that crop selection affects farm earnings.7 Using this

restricted dataset, the mean and median district-level yield price of each crop is also estimated

(see Table 3).


Data on climate are from two sources. Long-term temperature data come from US Department of

Defense satellites. The Defense Department satellites pass over every location on earth between

6am and 6pm every day. They are equipped with sensors that detect microwaves that can pass

through clouds and detect surface temperature (Weng & Grody 1998). Precipitation data come

from the Africa Rainfall and Temperature Evaluation System (ARTES) (World Bank 2003). This

dataset, created by the National Oceanic and Atmospheric Association's Climate Prediction

Center, is based on ground station measurements of precipitation. The mean annual temperature

and precipitation for each country in the sample is shown in Figure 1.


Although monthly climate measures were available, individual months are highly correlated with

neighboring months. Previous research indicates it is useful to aggregate monthly data into

seasons (Mendelsohn et al. 2004). However, it is not self-evident how to cluster monthly

temperatures into a limited set of seasonal measurements. We explored several ways of defining

three-month average seasons, starting with November, December and January for winter.

Comparing the results, we found that defining winter in the northern hemisphere as the average

of November, December and January provided the most robust results for Africa. This


5Data from Cameroon, Ethiopia, Kenya and Zimbabwe were collected in 2003­2004.
6There are in total 394 districts in the sample. This places a restriction on the number of observations that can be in
the model, given the district specific variables that we use to analyze the climate sensitivity of crops.
7The results of this research are under way.


                                                           8

assumption in turn implies that the next three months would be spring, the three months after that

would be summer, and August, September and October would be fall (in the north). The choice

of these particular seasonal definitions is motivated by the fact that they provided the best fit

with the data and that they reflected the mid-point for key rainy seasons in the sample. We

adjusted for the fact that seasons in the southern hemisphere occur at exactly opposite months of

the year from northern hemisphere seasons.


Soil data were obtained from FAO (2003). The FAO data provide information about the major

and minor soils in each location. Data concerning the hydrology were obtained from the

University of Colorado (IWMI & University of Colorado 2003). Using a hydrological model for

Africa, the hydrology team calculated flow and runoff for each district in the surveyed countries.




4. Results


Table 2 summarizes the crop choice categories in the African analysis. The most popular crop

choice in the sample is maize. This crop is capable of growing across a range of climates because

there are a number of varieties of maize grown in Africa. The second most popular crop portfolio

is maize-groundnut. We hyphenate crop combinations throughout the paper. Cowpea-sorghum,

sorghum and millet-groundnut are also popular choices. While growing maize alone is the most

popular choice in Zambia and Ghana, farmers in Cameroon prefer to grow maize-groundnut.

Drought tolerant crops were the revealed preference of farmers in Burkina Faso, Niger and

Senegal (sorghum, cowpea, or cowpea-sorghum). In Egypt and South Africa, as expected, the

popular choices are maize and wheat. South African farmers also selected a variety of other crops

(which did not belong to any of the other revealed categories). Farmers in Zambia and Zimbabwe

indicated a preference for maize and maize-groundnut.


In Table 3, we examine the determinants of crop choice. In order to have sufficient observations

of each choice, we analyze farmers who chose one of the nine most popular choices. These

choices are maize (1071 observations), maize-groundnut (811), cowpea-sorghum (666), sorghum

(569), millet-groundnut (568), `other crops' (556), maize-beans (399), cowpea (388), and maize-

millet (331). The farms that made these choices account for almost three-fourths of all farms in



                                                 9

the data set.


The MNL regression includes a set of climate variables, a set of control variables, and a set of

soil variables. The climate variables measure annual temperature and precipitation. Both a linear

and a quadratic term are introduced to capture the expected non-linear effect of these variables.

The control variables include water flow, farmland, a dummy for electricity, household size, and

elevation. The soil variables include slope, texture and soil type. Soiltype1 reflects soils that have

a fine texture and are in hilly to steep slopes. Soiltype2 incorporates soil types such as eutric

gleysols or solodic planosols. Soiltype3 reflects lithosols or soils with medium texture in steep

areas. Soiltype 5 includes orthic ferralsols and chromic luvisols.


The control and soil variables affect crop choice. Higher elevation encourages cowpea, sorghum,

cowpea-sorghum, maize-groundnut and maize-millet and discourages only millet-groundnut.

Lower flow is associated with farmers choosing maize-beans, cowpea-sorghum, maize-

groundnut, maize-millet, millet-groundnut and `other crops'. Lower flow probably implies that

farmers cannot irrigate. Choosing crop combinations is one way for farmers to adapt to dryland

farming in Africa. Farms that have electricity are more likely to choose maize and maize-beans

but less likely to choose every other crop. Electricity may help in the production of maize or it

may simply signal access to urban markets which often accompanies access to electricity.

Farmers whose farms have steep slopes and fine texture soils are more likely to pick millet-

groundnut but less likely to pick cowpea, sorghum, cowpea-sorghum, maize-beans, and `other

crops'. Those whose farms have eutric gleysols and solodic planosols are less likely to pick

every crop except cowpea-sorghum and maize. Those whose farms have lithosols or medium

texture soils in steep areas are more likely to pick cowpea, maize-beans, and `other crops', but

less likely to pick sorghum. Finally, those whose farms have orthic ferrasols and chromic luvisols

are more likely to pick millet-groundnut but less likely to pick sorghum and maize-millet.


From the perspective of this study, the most important coefficients in Table 3 concern annual

climate. Judging by the significance of the coefficients on both the linear and squared terms,

annual temperature and precipitation are both quite important to crop choice. In order to show

how temperature affects farmers' choices, in Figure 2 we present the probability a farmer will

choose each crop combination at each temperature. Figure 2a reflects crops that prefer relatively



                                                 10

cool temperatures in Africa: sorghum, maize-beans, maize-millet and `other crops'. The

probability of these crops is high in the cool regions of Africa but much lower in warmer regions.

Figure 2b reflects crops chosen near the mean temperatures of Africa: maize, maize-groundnut,

and millet groundnut. The relationship of especially the first two crops is hill-shaped with respect

to temperature. Finally, Figure 2c shows crops that are more likely to be grown in the warmest

regions that support crops: cowpea and cowpea-sorghum. It is interesting to note that although

growing sorghum alone occurs in the cooler regions, the combination of sorghum and cowpea is

chosen in the warmest regions. Temperature effects which crops African farmers choose.


Figure 3 shows the relationship between precipitation and the probability crops are chosen.

Crops chosen in drier regions are shown in Figure 3a: maize, maize-millet, cowpea, cowpea-

sorghum and millet-groundnut. Note that all crops require some precipitation, so these

relationships are hill-shaped. Figure 3b shows crops that are more likely to be chosen in wet

locations: sorghum, maize-beans, maize-groundnut, and `other crops'. Annual precipitation also

clearly plays a large role in crop choice.


We also include an analysis that measures seasonal (not annual) climate. Table 4 is identical to

Table 3 except that four seasonal climate variables have replaced each annual climate variable.

The seasonal variables capture winter, spring, summer and fall. This second model tests whether

seasonal factors matter or whether it is just annual temperature that is important. Note that the

inclusion of seasonal climate variables has affected the significance of some of the soils and

control variables. They generally have the same sign but some are now more significant and

others less so. One exception is the sign reversal on elevation for millet-groundnut which was

negative in Table 3 but positive in Table 4.


The most conspicuous difference between Tables 3 and 4, however, is the complex role that

seasonal climate plays in crop selection. The choice of different crops is sensitive to seasonal

climate variables. The effect of seasonal climate variables varies by crop. For example, in

comparison to maize, cowpea reacts to summer and fall temperatures and winter and summer

and fall precipitation, whereas sorghum reacts to winter, spring and fall temperatures and

precipitation in every season. Millet-maize in comparison reacts to winter and spring temperature

and precipitation in all seasons.



                                                 11

Summing the effects across seasons, one can see what happens if all the seasonal temperature or

precipitation measures increase together. Note that the comparison in Figures 4 and 5 holds the

relative contribution of each seasonal climate variable fixed as annual temperature changes.

Figures 2 and 3 allow the seasonal mixture to change as annual temperature changes across the

landscape. The results suggest that this is an important distinction. For example, as one moves

from South Africa to the Equator, all seasonal temperatures converge as annual temperature

warms. This shift in seasonal temperatures is part of the change in annual temperature in Figure

2 but not in Figure 4.


Many of the probability response functions of Figure 2 and Figure 4 to temperature are similar.

However, a few crops behave quite differently. Cowpea is chosen in hot temperatures in Figure 2

but in cool temperatures in Figure 4. Maize-millet is chosen in cool temperatures in Figure 2 but

in hot temperatures in Figure 4. `Other crops' shifts from a wet region in Figure 3 to a dry region

in Figure 5. Presumably all three of these crops are highly sensitive to the seasonal mix and not

just to the average annual climate.


The results imply that one must be careful when using cross-sectional evidence as a proxy for

future climate change. For example, if greenhouse gases cause temperatures to rise without

making the temperature differences between seasons smaller, one would want to use the seasonal

model for forecasting. However, if future warming decreases seasonal temperature differences,

making the differences small, as they are near the equator, then one would want to use the annual

model for forecasting. Whether Figures 2 and 3 are more or less accurate than Figures 4 and 5

would depend on future climate scenarios.




5. Conclusion and policy implications


This paper examines the choices that farmers in Africa make across a wide spectrum of climate

conditions. The study finds that crop choice is highly sensitive to both temperature and

precipitation. Farmers adapt their crop choices to suit the local conditions that they face. For

example, farmers in cooler regions of Africa choose maize-beans and sorghum, whereas farmers

in hot regions choose cowpea and millet. Farmers in dry regions choose millet and sorghum,



                                                12

whereas farmers in wet regions choose maize-beans, cowpea-sorghum, and maize-groundnut.

Other crops, such as maize, are grown throughout Africa.


The study found that sometimes farmers choose only a single crop to grow, such as sorghum,

cowpea or maize. However, farmers often select a crop combination that will survive the harsh

conditions in Africa, such as maize-beans, cowpea-sorghum, and millet-groundnut. These

combinations provide the farmer with more flexibility across climates than growing a single crop

on its own.


The results have significant policy implications for climate change. This study has shown that

African farmers adapt crop choice to climate. There is every reason to believe that they will

continue to adapt in the future. Governments and farmers must anticipate the need to change

crops rather than try to hold on to old crops that repeatedly fail.


The study strongly suggests that agricultural analyses of climate change impacts must take into

account crop selection. Studies that treat crop choice as exogenous will seriously overestimate

the damages from global warming. For example, agronomic studies or empirical studies that use

weather as a proxy must be careful not to assume crop choices are exogenous. Farmers will

probably change crops in response to a new climate rather than repeatedly grow crops that

historically were successful but now fail. As a result, farmers will match future crops to future

climates. Although this may still entail losses in agricultural income in Africa, the predicted

losses will be much smaller than if one assumes crop choice is exogenous.


Finally, the paper examines crop choice only across the currently available selection of crops.

Future research into new crops that are more suitable for higher temperatures could dramatically

improve farmers' welfare, especially in hot locations such as Africa. Although a great deal of

progress has been achieved in making existing crops more productive, future research efforts

need to move towards making them more resilient to higher temperatures.




                                                 13

REFERENCES

Chow G, 1983. Econometrics. New York: McGraw-Hill

Deressa T, Hassan R & Poonyth, D, 2005. Measuring the economic impact of climate change on
      South Africa's sugarcane growing regions. Agrekon 44(4): 524­542.

FAO (Food and Agriculture Organization), 2003. The digital soil map of the world: Version 3.6
      (January), Rome, Italy.

Gbetibouo G & Hassan R, 2005. Economic impact of climate change on major South African
      field crops: A Ricardian approach. Global and Planetary Change 47: 143­152.

Greene WH, 2003. Econometric Analysis (5th edition). New Jersey: Prentice Hall.

IWMI (International Water Management Institute) & University of Colorado, 2003.
      Hydroclimatic data for the GEF/CEEPA/World Bank Project on Regional Climate, Water
      and Agriculture: Impacts on and Adaptation of Agro-ecological Systems in Africa.

Kurukulasuriya P & Mendelsohn R, 2006. Endogenous irrigation: The impact of climate change
      on farmers in Africa. CEEPA Discussion Paper No. 18, Centre for Environmental
      Economics and Policy in Africa, University of Pretoria.

Kurukulasuriya P & Mendelsohn R 2006. A Ricardian analysis of the impact of climate change
      on African cropland.     CEEPA Discussion Paper No. 8, Centre for Environmental
      Economics and Policy in Africa, University of Pretoria.

McFadden DL, 1981. Econometric models of probabilistic choice. In McFadden, DL, Structural
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McFadden DL, 1999. Chapter 1. Discrete Response Models. University of California at
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Mendelsohn R, Nordhaus WD & Shaw D, 1994. The impact of global warming on agriculture: A
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Rosenzweig C & Parry ML, 1994. Potential impact of climate change on world food supply.
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Seo SN & Mendelsohn R, 2006. Climate change adaptation in Africa: A microeconomic
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World Bank, 2003. Africa rainfall and temperature evaluation system (ARTES). World Bank,
      Washington DC.


                                            14

Table 1: Surveys by country

Country                   Useable surveys   Percent total

Burkina Faso                    716             9.81

Cameroon                        518             7.10

Egypt                           478             6.55

Ethiopia                        644             8.83

Ghana                           664             9.10

Kenya                           692             9.48

Niger                           871            11.94

Senegal                         906            12.42

South Africa                    243             3.33

Zambia                          920            12.61

Zimbabwe                        644             8.83

                              7296            100.00




                                         15

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                692


                                     anahG
                                                              25                       17                    364                                 15                  3                               9                           8                        47                                                          6       0                                                  0                                          58                                    15         0                             33                                                          6        38                                             0                                       6                                      3                                               10                                               1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   664                16

                                   aipoihtE                     3                        5
                                                                                                                122                                           29      24                                                          7
                                                                                                                                                                                                                     223                                    23                                                         16      5                                                  3                                           5                                     32        35                                                        4                               21                           0                          50                                      3                                      30                                               1                                               3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      644

                                      tpygE                      0                        0                                         6                           0                  12                                   61                           35                                45                                4                               0                         50                                          0                                      0                                                                  0                                0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    149                                                                                               52                          64                                     0                                       0                                               0                                               0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         478



                                 nooremaC                         8                        22                                        62                          2                   25                                   2                            9                                 90                               79                              0                          0                                                                                 4                               2                                  0                                4                            3                           0                                     2                                       2                                               0                                               2
                                                                                                                                                                                                                                                                                                                                                                                                                                200                                                                                                                                                                                                                                                                                                                                                                                                                         518


                              osaF anikruB
                                                                   11                        0                                         0                          40                   0                                                                0                                  0                                0
                                                                                                                                                                                                                           100                                                                                                                             189                        15                                           14                                   14                              0                                  25                               57                           19                          0                                     51                                      42                                              13                                              126                                         716



country
       by

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             illet
         choices                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         -m                                                                                                                           ize-sorghuma

                                                                                                                                                                                                                                                                                                                                                              m                                                                      t                                                                       t                                                                                                                                                                                                       ghum                                                         -mt

                Crop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      er
                    2:                                                                                                                                                                                                                                                                                                                                                                  cotton
                                                                                                                                                                                                                                                              crops

                      Table               CROP                       cowpea                   groundnut            maize                           millet                               potato        sorghum                      sugarcane                       other                            maize-beans                 cowpea-sorghu                   maize-                            maize-groundnu                       maize-millet                             maize-wheat                   illet-groundnum                 illet-sorghumm                      rice-maize                  wheat-oth                    groundnut-sorghum                          maize-millet-sor                       maize-sorghum-groundnut                                 illet-groundnum                        Total

Table 3: Multinomial logit crop choice model: Annual climate

Multinomial logistic regression                  Number of obs       = 5277
                                                 LR chi2(104)        = 6926.36
                                                 Prob > chi2         = 0.0000
Log likelihood                  = -7796.4556     Pseudo R2           = 0.3076



                                COWPEA SORGHUM              MINOR         MAIZE-
                                                            CROPS         BEANS

Mean annual temperature          -3.29***    -2.8***        -2.44***      -1.49***

                                    (.36)     (.25)           (.27)         (.41)

Mean annual temperature           0.09***    0.07***         0.05***      0.03***

squared                             (.01)      (.01)          (.01)         (.01)

Mean annual precipitation         0.06***    -0.06***       -0.05***        -0.02

                                    (.02)     (.01)           (.01)         (.01)

Mean annual precipitation        -0.0002*** 0.0002***       0.0002***    0.0001***

squared                            (0.00)     (0.00)          (0.00)       (0.00)

Mean flow (mm)                    0.07**       0.02          -0.1***       -0.08**

                                    (.04)     (.02)           (.02)         (.04)

Log (Area of farmland)              0.13       0.04           -0.06        -0.12**

                                    (.07)     (.05)           (.04)         (.05)

Elevation (m)                    0.001***   0.0004***          0.00      0.0006***

                                   (0.00)     (0.00)          (0.00)       (0.00)

Log (Household size)              0.39**     0.67***         0.46***      0.46***

                                    (.16)     (.12)           (.12)         (.13)

Dummy household with             -0.88***    -1.74***          0.15         -0.23

electricity                         (.22)      (.19)          (.14)         (.16)

Soil type 1                      -1.96***    2.20***        -3.91***      -2.99***

                                    (.53)     (.46)           (.49)         (.46)

Soil type 2                      -1.05***    -0.94***       -1.30***      -1.43***

                                    (.28)     (.21)           (.27)         (.33)

Soil type 3                       2.37***    -1.89***        3.32***      3.34***

                                    (.49)     (.48)           (.38)         (.38)

Soil type 5                         0.35     -1.30***         -0.06         -0.50

                                    (.43)     (.38)           (.31)         (.35)

Constant                         23.39***    29.9***        27.64***      15.83***

                                   (4.24)     (2.76)          (2.86)       (4.15)




                                                17

Table 3: (continued)

                                             COWPEA-           MAIZE-           MAIZE-           MILLET-
                                            SORGHUM         GROUNDNUT           MILLET         GROUNDNUT

Mean annual temperature                       -1.19***            0.20          -3.19***           -0.67
                                                (.4)              (.32)           (.28)            (.53)
Mean annual temperature                       0.05***             0.00           0.08***         0.03***
squared                                         (.01)             (.01)           (.01)            (.01)
Mean annual precipitation                     0.04***             0.00             0.00          -0.09***
                                                (.01)             (.01)           (.01)            (.01)
Mean annual precipitation                       0.00           0.0001***           0.00          0.0003***
squared                                        (0.00)            (0.00)           (0.00)           (0.00)
Mean flow (mm)                                -0.14***         -0.12***         -0.17***         -0.36***
                                                (.05)             (.03)           (.05)            (.07)
Log (Area of farmland)                        0.28***             0.05             0.10          0.26***
                                                (.08)             (.04)           (.06)             (.1)
Elevation (m)                                 0.002***         0.0003***        0.0007***        -0.01***
                                               (0.00)            (0.00)           (0.00)           (0.00)
Log (Household size)                          1.11***           0.63***          0.91***         0.71***
                                                (.16)             (.1)            (.15)            (.17)
Dummy household with                          -1.99***         -0.76***         -1.35***         -1.01***
electricity                                     (.25)             (.13)           (.22)            (.24)
Soil type 1                                   -1.13**             0.68            -0.01          1.86***
                                                (.49)             (.48)           (.49)            (.49)
Soil type 2                                     -0.32           -0.5***         -1.08***         -2.30***
                                                (.25)             (.16)           (.27)            (.36)
Soil type 3                                     0.56              -0.24            0.88            -0.72
                                                (.49)             (.47)           (.48)            (.54)
Soil type 5                                     -1.12             -0.36         -1.14***         4.22***
                                               (1.03)             (.2)            (.43)            (1.16)
Constant                                        -6.04             -4.62         28.48***            2.12
                                               (5.02)            (3.59)           (3.24)           (6.53)

Notes: Base category crop: MAIZE

*** significant at 1% ** significant at 5%

Measures of fit for previous model

 Log-Lik Intercept Only:          -11259.634         Log-Lik Full Model:                -7796.456
 D(5165):                          15592.911         LR(104):                           6926.358
                                                     Prob > LR:                            0.000
 McFadden's R2:                          0.308       McFadden's Adj R2:                    0.298
 ML (Cox-Snell) R2:                      0.731       Cragg-Uhler(Nagelkerke) R2:           0.741
 Count R2                               : 0.464      Adj Count R2:                         0.332
 AIC:                                    2.997       AIC*n:                             15816.911
 BIC:                             -28676.888         BIC':                              -6034.962
 BIC used by Stata:                16552.876         AIC used by Stata:                 15816.911




                                                       18

Table 4: Multinomial logit crop choice model: Seasonal climate

 Multinomial logistic regression                      Number of obs    = 5277
                                                      LR chi2(200)     = 9453.16
                                                      Prob > chi2      = 0.0000
 Log likelihood                   = -6533.0545        Pseudo R2        = 0.4198



                      COWPEA SORGHUM          MINOR          MAIZE-
                                               CROPS          BEANS

Temperature winter        0.03    2.78***     -1.05***         -0.20
                          (.9)      (.44)        (.39)          (.5)
Temperature winter       -0.02    -0.08***     0.03***          0.00
squared                  (.02)      (.01)        (.01)         (.01)
Temperature spring       -0.22    -4.76***      -0.36          -0.87
                         (1.19)     (.51)        (.51)         (.65)
Temperature spring        0.03    0.11***        0.00           0.02
                         (.02)      (.01)        (.01)         (.02)
Temperature summer     -5.63***    1.10**     -1.68***         -1.63
                         (1.1)      (.55)        (.59)         (.86)
Temperature summer      0.10***     -0.02       0.03**          0.02
squared                  (.02)      (.01)        (.01)         (.02)
Temperature fall        4.87***   -1.48**       1.68**        2.76***
                         (1.19)     (.63)        (.73)         (.97)
Temperature Fall       -0.09***    0.03**       -0.02          -0.04
Squared                  (.02)      (.01)        (.02)         (.02)
Precipitation winter   -0.07***   -0.09***     0.06***          0.01
                         (.02)      (.02)        (.01)         (.01)
Precipitation winter   0.0007*** 0.0005***    -0.0002**         0.00
Squared                    (.)       (.)          (.)           (.)
Precipitation spring      0.01    0.05***     -0.06***          0.00
                         (.02)      (.01)       (.01)          (.01)
Precipitation spring      0.00   -0.0003***   0.0001***         0.00
                           (.)       (.)          (.)           (.)
Precipitation summer    0.19***   -0.05***       0.01         0.05***
                         (.02)      (.01)        (.01)         (.01)
Precipitation summer -0.0007*** 0.0002***        0.00       -0.0002***
squared                    (.)   (-0.00004)       (.)           (.)
Precipitation fall     -0.14***   0.03***        0.01        -0.03***
                         (.02)      (.01)        (.01)         (.01)
Precipitation fall     0.0005*** -0.0001***      0.00        0.0001***
squared                    (.)       (.)          (.)           (.)




                                                   19

Table 4: (continued)


                    COWPEA SORGHUM       MINOR      MAIZE-
                                         CROPS      BEANS

Mean flow (mm)        0.10**   -0.04**   -0.08***     -0.04
                      (.04)     (.02)      (.02)      (.03)
Log (Area of
farmland)              0.08     0.10     -0.14***   -0.20***

                      (.08)     (.06)      (.05)      (.05)
Elevation (m)       0.0008*** 0.0006*** 0.0007***   0.001***
                        (.)   (0.0001)      (.)        (.)
Log (Household size) 0.73***   0.70***   0.36***    0.40***
                      (.19)     (.13)      (.13)      (.14)
Dummy household
with                 -0.79*** -1.71***     0.20       -0.21

electricity            (.24)    (.22)      (.16)      (.18)
Soil type 1            0.51    2.40***   -2.62***     -0.96
                      (.75)     (.71)      (.69)       (.7)
Soil type 2          -1.58***   -0.46    -1.05***   -1.04***
                      (.37)     (.26)      (.32)      (.38)
Soil type 3           -0.90    -2.4***   2.07***    1.49***
                      (.73)     (.71)      (.59)      (.59)
Soil type 5           1.10**  -0.92***    -0.66       -0.84
                      (.55)     (.41)      (.39)      (.42)
Constant               0.17   27.00***   11.19***     -3.92
                      (7.87)    (3.67)    (4.11)     (5.73)




                                             20

Table 4: (continued)


                      COWPEA-       MAIZE-       MAIZE-      MILLET-
                     SORGHUM      GROUNDNUT     MILLET      GROUNDNUT

Temperature winter     2.96***         0.64      2.06***        -2.29
                        (1.02)        (.48)        (.61)        (1.41)
Temperature winter     -0.07***     -0.04***     -0.05***       0.05
squared                  (.02)        (.01)        (.02)        (.03)
Temperature spring     -2.48**      -1.67***     -4.18***        2.80
                        (1.27)        (.64)        (.65)        (1.95)
Temperature spring      0.06**       0.05***      0.1***        -0.03
                         (.03)        (.01)        (.02)        (.04)
Temperature
summer                 -2.36**       -2.2***       0.02       4.99***

                        (1.05)        (.68)        (.65)        (1.51)
Temperature
summer                 0.05***      0.045***       0.01       -0.09***

squared                  (.02)        (.01)        (.01)        (.03)
Temperature fall         1.51        6.4***        0.52       -4.04***
                        (1.04)        (1.03)       (.77)        (1.55)
Temperature fall         -0.04      -0.16***       -0.02      0.08***
squared                  (.02)        (.03)        (.02)        (.03)
Precipitation winter   -0.13***        0.00      0.14***       0.10**
                         (.03)        (.01)        (.02)        (.04)
Precipitation winter   0.001***    0.0003***    -0.0006***   -0.0005**
squared                   (.)       (0.00006)       (.)          (.)
Precipitation spring     -0.03        -0.01      -0.13***    ***29681
                         (.02)        (.01)        (.02)        (.03)
Precipitation spring     0.00          0.00     0.0005***        0.00
                          (.)           (.)         (.)          (.)
Precipitation
summer                 0.15***      0.06***      -0.03***     -0.09***

                         (.02)        (.01)        (.01)        (.01)
Precipitation
summer                -0.0005***   -0.0002***   0.0001***    0.0002***

squared               (0.00009)         (.)         (.)          (.)
Precipitation fall     -0.11***     -0.02***     0.04***      0.17***
                         (.02)        (.01)        (.01)        (.02)
Precipitation fall    0.0004***    0.0001***    -0.0001***   -0.0006***
squared                   (.)       (0.00003)       (.)          (.)




                                            21

Table 4: (continued)


                           COWPEA-            MAIZE-            MAIZE-          MILLET-
                          SORGHUM          GROUNDNUT            MILLET        GROUNDNUT

Mean flow (mm)                -0.09           -0.09***           -0.30***        -0.18**
                               (.06)             (.03)             (.07)          (.08)
Log (Area of
farmland)                     0.18**            -0.02              0.08           0.08

                               (.09)             (.04)             (.07)          (.12)
Elevation (m)               0.002***          0.0008***         0.002***        0.004***
                                (.)               (.)                (.)            (.)
Log (Household
size)                        1.49***           0.76***           0.75***         0.58***

                               (.18)             (.11)             (.17)          0.20
Dummy household
with                        -1.80***          -0.51***           -0.96***        -0.64**

electricity                    (.27)             (.15)             (.24)          (.28)
Soil type 1                   -0.30              0.45              -0.84         1.60**
                               (.73)             (.7)              (.95)          (.74)
Soil type 2                 -0.83***          -0.82***            -1.2***        -1.01**
                               (.33)             (.22)             (.31)          (.42)
Soil type 3                  -1.69**            -1.23               0.80         -1.70**
                               (.72)             (.69)             (.94)          (.77)
Soil type 5                    0.45           -1.44***           -2.21***         -1.95
                               (1.1)             (.24)             (.48)          (1.22)
Constant                      -2.61             -34.90           14.8***        -52.87***
                              (7.92)            (6.72)             (4.79)        (15.99)

Notes: Base category crop: MAIZE

*** significant at 1% ** significant at 5%

Measures of fit for mlogit of cropcode

 Log-Lik Intercept Only:            -11259.634       Log-Lik Full Model:                -6533.054
 D(5069):                            13066.109       LR(200):                           9453.160
                                                     Prob > LR:                            0.000
 McFadden's R2:                          0.420       McFadden's Adj R2:                    0.401
 ML (Cox-Snell) R2:                      0.833       Cragg-Uhler(Nagelkerke) R2:           0.845
 Count R2:                               0.537       Adj Count R2:                         0.422
 AIC:                                    2.555       AIC*n:                             13482.109
 BIC:                               -30380.863       BIC':                              -7738.937
 BIC used by Stata:                  14848.900       AIC used by Stata:                 13482.109




                                                       22

     ).pi                                  160

         ecrP                              150

                                           140
             orf(raey/                     130

                                           120

                                           110
                      m                    100
                       m
                        &)                  90

                                            80
                          p.
                            m               70

                             Te             60

                               orf(         50

                                   Cs       40

                                            30
                                     eer    20
                                        egD 10

                                             0
                                                BFAS EGY ETH GHA NIG   SEN SAF   ZAM   CAM    KEN ZIM
                                                               Mean Annual Climate

                                                             Temperature         Precipitation


Note: BFAS: Burkina Faso, CAM: Cameroon, EGY: Egypt, ETH: Ethiopia, GHA: Ghana, KEN: Kenya, NG: Niger,
SEN: Senegal, SAF: South Africa, ZAM: Zambia, ZIM: Zimbabwe.

Figure 1: Mean annual temperature and precipitation




                                                                          23

  .5



    .4



      .3



        .2



          .1


            0

                               10     15            20           25              30            35
                                                  Temperature (Celsius)

                                       other crops(556)              maize and beans (399)
                                       sorghum only (569)            maize and millet (331)



Fig 2a: Probability of selecting low temperature crops

                      .4




                        .3




                          .2




                            .1




                              0

                               10      15            20            25             30            35
                                                   Temperature (Celsius)

                                         maize (1071)           maize and groundnut (811)



Fig 2b: Probability of selecting medium temperature crops

             .8




               .6




                 .4




                   .2



                     0

                               10      15            20            25             30            35
                                                   Temperature (Celsius)

                                    cowpea and sorghum (666)            millet and groundnut (568)
                                    cowpea (388)



Fig 2c: Probability of selecting high temperature crops




                                                                                                24

  .2



    5
     .1



       .1



         5
          .0



            0

                      50              100                       150                     200
                                             Precipitation (mm)

                            maize (1071)                      cowpea and sorghum (666)
                            maize and millet (331)            millet and groundnut (568)
                            cowpea (388)



Fig 3a: Probability of selecting dry to moderate precipitation crops



             .4




               .3




                 .2




                   .1



                     0

                      50               100                        150                    200
                                              Precipitation (mm)

                            sorghum only (569)                  other crops(556)
                            maize and beans (399)               maize and groundnut (811)



Fig 3b: Probability of selecting high precipitation crops




                                                                                     25

                                                                                    .8


                                               niotcelesfoyitli                       .6



                                                                                        .4

                                                               ab
                                                                 ob
                                                                   Pr                     .2



                                                                                            0

                                                                                             10      15              20           25         30            35
                                                                                                                       temperature

                                                                                                       cowpea (388)                    other crops(556)
                                                                                                       maize and beans (399)



Fig 4a: Probability of selecting low temperature crops


(i) with maize

                                                                     .6



   niotcelesfoytili                                                    .4




                   ab                                                    .2
                     ob
                       Pr



                                                                           0

                                                                                             10      15              20           25         30            35
                                                                                                                       temperature

                                                                                                  maize (1071)                      sorghum only (569)
                                                                                                  cowpea and sorghum (666)          maize and groundnut (811)
                                                                                                  maize and millet (331)




(ii) without maize

                                                                            3
                                                                             .0


                         noi
                            ect                                                2
                                                                                .0
                               selfoyitil
                                         ab                                       1
                                           obrP .0



                                                                                   0

                                                                                             10      15              20           25         30            35
                                                                                                                       temperature

                                                                                                  sorghum only (569)                cowpea and sorghum (666)
                                                                                                  maize and groundnut (811)         maize and millet (331)



Fig 4b: Probability of selecting medium temperature crops




                                                                                                                                                             26

                                              1




                                               .8

                       noicte                    .6
                             selfoyitil
                                       ab          .4

                                         Prob

                                                     .2



                                                       0

                                                        10          15             20             25              30         35
                                                                                     temperature


Note: Crop depicted above is millet-groundnut.

4c: Probability of selecting high temperature crops




  .5


    .4


      .3


        .2


          .1


            0

                                             50                          100                   150                      200
                                                                                precipitation

                                                            maize (1071)                        maize and millet
                                                            sorghum only (569)                  millet and groundnut (568)
                                                            other crops(556)                    maize and beans
                                                            maize and groundnut (811)



Fig 5a: Probability of selecting low to medium precipitation crops


             1



              .8



                .6



                  .4



                    .2



                      0

                                             50                          100                   150                      200
                                                                                precipitation

                                                                     cowpea             cowpea and sorghum (666)



Fig 5b: Probability of selecting high precipitation crops




                                                                                                                               27