Neighborhood Effects and Social: The case of Irrigated and Rainfed Rice Farners in Bohol
Transcript of Neighborhood Effects and Social: The case of Irrigated and Rainfed Rice Farners in Bohol
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Neighborhood Effects and Social Behavior :
The Case of Irrigated and Rainfed Rice Farmers in Bohol
Takuji W. Tsusaka
~Emergence of Social Norms and Community Mechanisms~
Accepted by 2012AAEA (Agricultural and
Applied Economics Association of USA)
Valerien O. Pede
Keitaro Aoyagi
Thanks:
JICA
Lolit Garcia
Elmer Suaz
Edmund Mendez
Evangeline Austria
Ma. Indira JoseNeale Paguirigan
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Experimental methods, spatial econometrics, and survey methods are nicely
blended in a single study.
The study provides innovative approaches to investigate the spillover effect ofsocial behaviors.
Excellent job!!
According to the reviewers of the conference,
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Social Behavior
Social Interaction Mutual Trust
Social Behavior Social Relationship
Often used as synonyms and are considered to be forms ofsocial capital,
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Empirical and theoretical supports:
Grootaert & van-Bastelaer (2008), Krishna (2007), Chou (2006), Isham et al. (2002),
Zack & Knack (2001), Knack & Keefer (1997), etc. etc.
y m y y n nn n nn ,
Plays a crucial role in rural development and poverty reduction.
Mechanism to induce effective collective actions and reduce
transaction costs in a variety of ways (Hayami 2009, Arrow 1999,
Solow 1999).
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Neighborhood Effect and Social Behavior
(Objective)Our View: Since social behavior takes place between people, it is natural to suppose that such
behavior may affect other peoples behavior; i.e., there must be spillovers and externalities of
social behavior.
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Blume, Bandiera, Brock, Durlauf, Moffitt,
Raudenbush, Sampson, Cook, Manski etc.
Bandiera, Rasul, Conley, Udry, Anselin,
Griffith, etc.
Neighborhood Effects
using spatial econometrics..
Hayami, Grootaert, van-Bastelaer,
Krishna, Chou, Isham, Zack,
Knack, Arrow, Solow, Keefer, etc.
Social Behavior/Social Capital
Ionnides,Topa
using behavioral game experiments
Onesa, Putterman, Dufwenberg, Muren,
Cook, Cooper, Eckel, Wilson, Bohnet,
Zeckhauser, Ben-Ner, etc.
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Neighborhood Effect
Yi = Social Behavior
(e.g. Trusting)
Yi
Xi = Individual Profile
(e.g. Age)
For example,
XjXj
YjYj
i = Residual
Endogenous Social Effector Spatial Lag Effect
Xi
Xj Xj
Yj Yj
Exogenous Social Effect or
Cross Effect or ContextualEffect
Correlated Social Effect or
Perturbation Effect
j
i
j
j
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Spatial Econometric Approach
(1) Neighborhood Definition Weight Matrix
n observations
n
0
0 0
1
1
0
0
Wafter normalization
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Spatial Lag Operator
WX =
n
X =
x1x
2x3
xn
x averaged over neighbors for obs 1
x averaged over neighbors for obs 2x averaged over neighbors for obs 3
x averaged over neighbors for obs n
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Spatial Econometric Approach
(2) Model Specification1) a-Spatial ModelY= 1X+ 1
2) Cross Regression Model
Y= 2X+2WX+ 2
Lagrange Multiplier Tests
Morans I
Lag Test
Error Test
Spatial Diagnostics
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a) Lag Model (w/Cross) ( Spatial Durbin Model)
b) Error Model (w/Cross)
c) ARAR Model (w/Cross)
Y= 3WY+ 3X+3WX+ 3
Y= 4X+4WX+ 4 , 4 = 4W4 + 4
Y= 5WY+ 5X+5WX+ 5, 5 = 5W5 + 5
Robust Error Test SARMA Test
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Behavioral Game Experiment
General Instructions
All participants receive a pre-paid show-up fee of P50 at the beginning. The games deal with actual money. Whatever money participants win in games will be theirs to take home.
The amount they win depends on the decisions they make during the games.
The games must be taken seriously. They are not allowed to talk to other participants during the entire
event. If the fail to follow the rule the will not be iven the ost- aid show-u fee P100 at the end of all
Purpose: To elicit individuals social behavior quantitatively.
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experiments.
Dictator Game
The game is played by pairs. Your anonymous partner is in a separate room. You never know who it is.
At the beginning, you (sender) get P100/Your partner (receiver) gets nothing.
Your partner will receive a transfer from you/You will not receive any money from your partner. The amount you keep is your payoff of this game/The amount your partner receives is his/her payoff of
this game.
How much do you transfer to your partner, if your partner is someone in your barangay?
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B
?A (You)
?
Your Room (Senders) The other Room (Receivers)
Keep: P50Receive: P50
Keep: P100 Receive: P0
Send: P50
Send: P0
Dictator Game Example
C ?Keep: P0
Receive: P100
The amount you keep
is your payoff of this
game
The amount they
receive is their payoff
of this game
Send: P100
The transferred amount is recorded as
the game result, and is interpreted as a
measure of your altruistic behavior.
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Behavioral Game Experiment
Public Goods Game (Two Rounds)
The game is played by groups of four people of which you are one. The three
anonymous partners are in a separate room. You never know who they are.
At the beginning, you (sender) and your partners (receivers) get P100 each.
1st Round
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.
The total amount contributed will be doubled, and the doubled amount will be
shared equally among all members, regardless of your contribution.
The amount you keep plus the amount you receive back from the group is your
payoff of this game.
How much do you contribute to the group, if your partners are some ones in yourbarangay?
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(50+50+50+50)
P 200
Contribute P 50 Contribute P 50 Contribute P 50 Contribute P 50
Keep P 50
You A B C
Keep P 50 Keep P 50 Keep P 50
The contributed amount is
recorded as the game result,
and is interpreted as aPublic Goods Game
Round 1, Example
P 400
Receive P 100 Receive P 100 Receive P 100Receive P 100
P 50
P 150
P 50
P 150
P 50
P 150
P 50
P 150Payoff Payoff Payoff Payoff
behavior to public goods.
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Behavioral Game Experiment
Public Goods Game (Contd)
Therefore, the game has an aspect ofinvestment.
What if you increase/decrease your contribution, others contributions kept unchanged?
Case1 You Partner A Partner B Partner CContribution 50 50 50 50
Pa off 150 150 150 150
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Case2 You Partner A Partner B Partner CContribution 20 50 50 50
Payoff 165 135 135 135
Case3 You Partner A Partner B Partner C
Contribution 80 50 50 50Payoff 135 165 165 165
Case4 You Partner A Partner B Partner CContribution 80 80 80 80
Payoff 180 180 180 180
Incentive for cheating (free-riding)
Importance of Collective Action
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Behavioral Game Experiment
Public Goods Game (Contd)
You can secretly check the contribution from each partner by paying P1.
Then, you can send a message to particular partners to indicate that youare unhappy with that persons contribution, by paying P1 per message.
After the 1st Round
We will consider two variables in the analysis
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The contributed amount is recorded as the result of the second round,
and is interpreted as a measure of your contributory behavior to public
goods in the presence ofmonitoring mechanism.
with the same partners as in the 1st round.Then, Play the 2nd Round
Free-riding Index (FRI) Group Members
Average Contribution
Your
Contribution
Check
Dummy
Indicator for degree of awareness of own free-riding
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Our Study Site
San Miguel/Trinidad/Ubay, Bohol
Thanks to
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Figure by Barkada Tours
Arnel & Nel !
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Our Data
Primary Data
Agricultural and Socioeconomic Data (X)
4 crop seasons from 2009 to 2010 One half of the irrigated farmers (randomly selected): Volumetric pricing system
The other half: Area size based flat rate
Volumetric Pricing Dummy
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Geographical Coordinates (W) Both farm plots and residences. Two types of neighborhood can be defined
Behavioral Game Results ( Y) 243 randomly selected farmers
Irrigated (N= 132) & Rain-fed (N= 111) The sample for this study
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Data: Descriptive Statistics
Overall
(N=243)
Irrigated
Areas
(N=132)
Rainfed
Areas
(N=111)
t-test for mean
difference
[p-value]
Volumetric Pricing Dummy
0.561(0.498)
Age 51.062 49.689 52.694 3.004 *
(12.019) (12.248) (11.585) [0.052]
Gender Dummy 0.708 0.758 0.649 0.109 *
Agricultural & Socioeconomic Variables (X)
Sample Mean
(Standard Deviation)
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(0.456) (0.430) (0.480) [0.063]
Years of Schooling 6.395 6.144 6.694 0.550
(3.0384) (2.922) (3.159) [0.160]
Ln Asset 10.578 10.444 10.738 0.295
(1.132) (1.193) (1.038) [0.718]
Field Size (ha) 1.585 1.167 1.754 0.586 ***
(1.058) (0.682) (1.228) [0.000]
Household Size (head count) 5.936 6.144 5.689 0.455
(2.302) (2.321) (2.265) [0.125]
Household Female Ratio 0.500 0.484 0.519 0.035 *
(0.162) (0.148) (0.176) [0.092]
Value for the last season
Averaged over the 4 seasonsStatistical Significance: *** 1 %, * 10%
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Data: Descriptive Statistics
Overall
(N=243)
Irrigated
Areas
(N=132)
Rainfed
Areas
(N=111)
t-test for mean
difference
[p-value]
Dependent Variables (Y)
Dictator Game 30.041 32.197 27.477 4.719 *
(20.236) (21.555) (18.314) [0.070]
PGG Round 1 54.403 53.182 55.856 2.674
Behavioral Game Results (Y)& Control Variables
Sample Mean
(Standard Deviation)
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(23.033) (22.080) (24.139) [0.368]
PGG Round 2 52.140 51.818 52.523 0.704
(24.350) (23.633) (25.279) [0.823]
Controls for PGG
Risk Preference 53.786 54.470 52.973 1.497
(25.898) (24.380) (27.686) [0.655]
PGG R1 Message Receipt Dummy 0.280 0.273 0.288 0.016(0.450) (0.447) (0.455) [0.789]
PGG R1 Free-riding Index -0.110 0.455 -0.781 1.235
(15.335) (14.746) (16.049) [0.533]
Statistical Significance: * 10%
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Defining the Neighbors
Weight Matrices (W)
2 types of neighborhood
Residential Neighborhood
Plot Neighborhood
2 Areas
Irrigated
Rainfed = 4 Weight Matrices
How did we choose neighbors?? Threshold Distance
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Too short Some people will have no neighbor
Those observations will be dropped.
Too long Boundary Bias Problem
(e.g. Griffith, 1983)
You
d
You
d
Impose the shortest possible threshold distance.(GeoDa does it)
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Defining the Neighbors
Individually Calculated 4 Threshold Distances
0.959
1.302
0.956
1.376
(a) Plot Neighborhood/Irrigated Farmers
(b) Plot Neighborhood/Rainfed Farmers
(c) Residential Neighborhood/Irrigated Farmers
(d) Residential Neighborhood/Rainfed Farmers.
km
Use this as a uniform
threshold distance
Field Plot Neighborst-test for
Residential Neighborst-test forNeighborhood Structures;
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mean
difference[p-value]
mean
difference[p-value]
IrrigatedAreas
RainfedAreas
IrrigatedAreas
RainfedAreas
Weight Code (a) (b) (c) (d)
Number of Observations 131 109 132 110
Total Number of Neighbor Relations 860 1166 866 1292
Nonzero Weights (%) 5.01 9.81 4.97 10.68Avg. Num. of Neighbors 6.565 10.697 4.132 6.561 11.746 5.185
(2.649) (4.309) [0.000] (3.119) (5.409) [0.000]
Avg. Distance bet. Neighbors (km) 0.603 0.587 0.016 0.583 0.574 0.009(0.236) (0.239) [0.293] (0.243) (0.252) [0.564]
Statistics@Threshold Distance = 0.956km
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Defining the Neighbors
0
5
10
15
20
1 2 3 4 5 6 7 8 9 10111213141516171819202122
0
5
10
15
20
(a) Plot/Irrigated
Distribution of the Number of Neighbors(b) Residential/Irrigated
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0
5
10
15
20
1 2 3 4 5 6 7 8 9 10111213141516171819202122
0
5
10
15
20
1 2 3 4 5 6 7 8 9 10111213141516171819202122
(c) Plot/Rainfed (d) Residential/Rainfed
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Defining the Neighbors
Graphical Representations
(b) Plot/Rainfed (d) Residential/Rainfed
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(a) Plot/Irrigated (c) Residential/Irrigated
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Summarized Hypotheses
H1) Social behaviors of individual farmers are influenced by their neighbors social
behaviors and personal attributes.
H2) Neighborhood effects on social behaviors, particularly contribution to public
goods, are higher in the irrigated areas vis--vis in the rain-fed areas.
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H3) In the irrigated areas, farmers are more contributory to public goods when they are
engaged in volumetric water pricing system than in area-based flat rate system.
H4) The endogenous social effects on public goods contribution are larger among farm
plot neighbors than among residential neighbors.
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Results: Spatial Model Diagnostics
Game Experiment Dictator Game Public Goods Game, Round 1 Public Goods Game, Round 2
Neighborhood Plot Residential Plot Residential Plot Residential
Ecosystem Irrigated Rainfed Irrigated Rainfed Irrigated Rainfed Irrigated Rainfed Irrigated Rainfed Irrigated Rainfed
Moran's I 0.042 * -0.031 0.131 *** -0.126 -0.087 0.060 *** 0.004 -0.010 0.119 *** -0.016 0.162 *** 0.014 *
(0.050) (0.385) (0.001) (0.990) (0.849) (0.004) (0.246) (0.219) (0.000) (0.241) (0.000) (0.081)
Error Correlation 0.616 5.332 ** 1.511 5.001 ** 8.135 *** 0.083
(0.433) (0.021) (0.219) (0.025) (0.004) (0.773)
La Correlation 3.034 * 7.854 *** 1.831 10.961 *** 9.849 *** 0.974
Lagrange Multiplier Tests on Cross Regression Residuals for Spatial Dependence Identification
. . . . . .
(0.082) (0.005) (0.176) (0.001) (0.002) (0.324)
Error Correlation 12.977 *** 2.540 0.623 0.375 0.214 1.165
Robust (0.000) (0.111) (0.430) (0.540) (0.644) (0.281)
Lag Correlation 15.395 *** 5.062 ** 0.943 6.335 ** 1.928 2.0555
Robust (0.000) (0.024) (0.332) (0.012) (0.165) (0.152)
SARMA 16.011 *** 10.394 *** 2.453 11.336 *** 10.062 *** 2.138
(0.000) (0.006) (0.293) (0.003) (0.007) (0.343)
Spatial Model of
Our Choice
Lag
&
Cross
Cross
Lag
&
Cross
Cross Cross Cross Cross Cross
Lag
&
Cross
Cross Cross Cross
For RobustnessCheck
ARAR&
Cross
Lag&
Cross(Statistical Significance: *** 1 %, ** 5%, * 10%, 15% )
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Results: Spatial Estimation
Dictator Game Neighborhood Plot Residential
Ecosystem Irrigated Rainfed Irrigated Rainfed
Spatial ModelLag &
Cross Cross
Lag &
Cross
ARAR &
Cross Cross
Endogenous Social Effect () 0.239*
0.352***
0.331
Correlated Social Effect () 0.034
Neighbors' Characteristics ()
Volumetric Pricing Dummy -13.630 * -11.492 -11.601
Age 0.123 0.060 -0.105 -0.128 0.445
Gender Dumm 4.382 -24.624 * 11.062 11.584 8.701
WYW
Years of Schooling -0.750 -4.222 * -1.288 -1.322 1.294
Ln Asset -0.887 10.944 * 5.075 5.230 -1.344
Field Area (ha) 16.206 *** 3.016 8.419 8.361 4.183
Household Size -2.513 -2.327 -1.876 -1.895 -2.070
Household Female Ratio -2.364 -2.837 21.705 23.196 -5.491
Own Characteristics ()
Volumetric Pricing Dummy -2.131 -0.327 -0.371
Age -0.201 -0.091 -0.263 * -0.266 * -0.121
Gender Dummy 2.914 3.098 3.526 3.605 5.631 Years of Schooling 0.610 0.282 0.221 0.213 0.334
Ln Asset -0.374 0.854 -0.308 -0.290 -0.347
Field Area (ha) -0.118 2.322 -0.956 -0.920 2.324
Household Size -0.323 0.261 -0.377 -0.387 0.462
Household Female Ratio 29.147 ** 3.188 30.608 ** 30.845 ** -4.975
WX
X
Statistical Significance:
*** 1 %, ** 5%, * 10%, 15%.
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Results: Spatial Estimation
Public GoodsGame, Round 1
WY
W
Neighborhood Field Plot Residential
Ecosystem Irrigated Rainfed Irrigated Rainfed
Spatial Model Cross Cross Cross Cross
Endogenous Social Effect ()
Correlated Social Effect ()
Neighbors' Characteristics ()
Volumetric Pricing Dummy -9.637 -11.411
Age -0.623 0.548 -0.682 * -0.520
Gender Dummy -9.676 19.125 -10.821 35.160 **
Years of Schooling -0.152 -0.088 0.533 -1.508
X
Statistical Significance:*** 1 %, ** 5%, * 10%, 15%.
Ln Asset 0.013 -3.671 3.425 -3.891
Field Area (ha) 8.575 -7.042 2.966 5.672Household Size -1.822 -0.502 1.453 0.633
Household Female Ratio 11.186 11.712 -8.118 31.177
Own Characteristics ()
Volumetric Pricing Dummy 0.221 0.217
Age -0.450 *** -0.713 *** -0.441 *** -0.743 ***
Gender Dummy -4.709 -3.032 -5.778 -2.514
Years of Schooling 0.112 -0.194 0.236 -0.044
Ln Asset 2.323 2.589 1.307 0.981
Field Area (ha) 5.586 * -2.125 5.754 * -1.965
Household Size -0.742 -0.717 -0.575 -0.889
Household Female Ratio 20.000 -18.463 18.812 -14.913
Control
Risk-Taking Behavior 0.227 *** 0.132 0.215 *** 0.135
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Results: Spatial Estimation
WY
W
WX
Neighborhood Field Plot Residential
Ecosystem Irrigated Rainfed Irrigated Rainfed
Spatial Model
Lag &
Cross Cross Cross
Lag &
Cross Cross
Endogenous Social Effect () 0.332 *** 0.284 ***
Neighbors' Characteristics ()
Volumetric Pricing Dummy 1.337 -11.436 * -6.470
Age -0.317 -0.584 -0.276 -0.221 -0.579
Gender Dummy 0.439 14.381 -3.750 -1.077 25.875
Years of Schooling -2.103 * 3.266 1.360 0.428 1.365
Ln Asset 2.964 -0.095 -1.520 -1.265 -3.677
Public GoodsGame, Round 2
WY
W
WX
X
Statistical
Significance:
*** 1 %, ** 5%,
* 10%, 15%.
. . . . .
Household Size -0.577 3.104 0.798 0.224 4.020
Household Female Ratio -8.270 19.684 -35.690 -28.779 -19.813
Own Characteristics ()
Volumetric Pricing Dummy 3.199 3.314 4.083
Age 0.167 -0.169 0.179 0.187 -0.089
Gender Dummy 2.492 0.145 0.690 2.059 -0.156
Years of Schooling 0.371 0.214 0.385 0.366 0.322
Ln Asset 1.746 0.954 1.110 1.330 0.387
Field Area (ha) -0.716 -2.529 1.028 0.302 -2.671
Household Size 0.613 0.219 0.567 0.517 0.144
Household Female Ratio 7.872 -5.448 2.114 5.034 -6.961
Controls
Risk-Taking Behavior 0.126 ** 0.252 *** 0.193 *** 0.161 *** 0.240 ***
Round 1 Message Receipt Dummy 7.312 ** 11.574 ** 7.139 * 7.416 ** 11.731 **
Round 1 Free Riding Index 0.212 * 0.014 0.232 * 0.266 ** 0.093
Round 1 MRD x FRI 0.440 ** -0.358 0.471 * 0.419 ** -0.289
Round 1 Own Contribution 0.847 *** 0.542 *** 0.821 *** 0.840 *** 0.584 ***
X
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Summary of the Results
H1) Social behaviors of individual farmers are influenced by their neighbors social behaviors and
personal attributes. The endogenous social effects among irrigated farmers are found in dictator game and monitored public goods game.
The exogenous social effects are minor on the whole. No correlated social effects are found.
H1 is accepted to the extent that it depends on the irrigation availability and the type of social
behavior.
H2) Neighborhood effects on social behaviors, particularly contribution to public goods, augment in
the irrigated areas vis--vis in the rain-fed areas. There exists a clear contrast in the result between the two ecosystems.
Hypothesis Verification
H1
H2
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The endogenous social effects and the impact of FRI are found only in the irrigated areas.
H2 is definitely supported.
H3) In the irrigated areas, farmers are more contributory to public goods when they are engaged in
volumetric water pricing system than in area-based flat rate system Volumetric water pricing makes no difference in the outcome of dictator game and pre-monitoring public goods game
It has a minimal positive effect in monitored public goods game.
H3 is only weakly supported.
H4) The endogenous social effects on public goods contribution are more salient among farm plot
neighbors than among residential neighbors. The spillover of public goods contribution under monitoring is stronger among plot neighbors than among residential
neighbors.
H4 is clearly accepted.
H3H3
H4H4
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Concluding Remarks
I. Emergence ofsocial norms and community mechanisms in irrigated society.
i. Farmers altruistic behavior and contributory behavior spill over to their neighbors,
indicating that collective actions required in irrigation water management induce the
emergence ofsocial norm: farmers decide on their social behavior more or less by
following the way their neighbors behave socially.
ii. Cooperative resource management also promotes a community mechanism: free
riding acts are corrected.
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iii. This irrigation system was introduced in 2008. It is implied that, by intervention
schemes such as the construction of gravity irrigation, changes in social norm and
community mechanism occur rather shortly than slowly.
Essential Assumption: There was no intrinsic difference in behavioral spillover among
irrigated farmers and among rainfed farmers prior to the construction of irrigation,
which is partially supported by the descriptive tables.
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Concluding Remarks
II. Limitations & Possible Extensions:
i. The contrasting result between the two ecosystems may be partially attributed to the
relative concentration of neighbors in the rainfed areas, (in addition to the relatively
independent agricultural practices). The result would be more convincing if we could
separate out the former factor.
ii. Number of neighbors (k-nearst neighbors) and Distance to neighbors (threshold
distance) are 2 conflicting criteria commonly used in constructing weight matrices.
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e ave assume t e a rness o mpos ng t e same t res o stance across t e
types of neighborhood. It may be interesting to use a k-nearest neighbor criterion,though the choice of k has to be justified some way.
iii. The next step of this research may be to estimate social behaviors using social
distance instead of geographical distance. Such a study will explore how personal
relationship affects the spillover of social behavior (and will also be applicable tosituations in which geographical distance is not a hard constraint).
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Appendix
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Order of Approximation bias (%)
7th 0.5000 0.5217 4.35
5th 0.5217 4.34
3rd 0.5208 4.17
Marginal Effect vs. Coefficient
Consider the endogenous social effects.
Let be the marginal effect.
+ 3 + 5 + 7 + = = 1
k1
k2
1
k3
1
j=1
2k-1
kj-1
7th 0.4000 0.4110 2.745th 0.4110 2.74 marginal effect () coefficient () bias (%)
3rd 0.4107 2.67 0.5000 0.5217 4.35
0.4000 0.4110 2.74
7th 0.3000 0.3046 1.52 0.3000 0.3046 1.52
5th 0.3046 1.52 0.2000 0.2013 0.67
3rd 0.3045 1.50 0.1000 0.1002 0.17
7th 0.2000 0.2013 0.67
5th 0.2013 0.67
3rd 0.2013 0.67
7th 0.1000 0.1002 0.17
5th 0.1002 0.17
3rd 0.1002 0.17
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Marginal Effect vs. Coefficient
Consider the exogenous social effects.
Let be the marginal effect.
=
1-
(1+ + 2 + 3 + 4 + .........) = j = (if 0 < < 1)j=0
When = 0.3 , then 1.4
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