Quantitative ModelingPart-3 Factors Determining Poverty in India Presented by
Dr Tarun Das
1.1 Improvement in Human Development • Poverty ratio declined: from 39% in 1987-88 to 36% in 199394, further to 26% in 1999-2000.
• Infant Mortality rate declined: from 94 in 1988 to 70 in 2001 • Literacy rate improved: from 52% in 1991 to 65% in 2001 • Real wages for farm labour had an increasing trend in 1990s. 2
1.2 Husehold Distribution by income Classes (% to total) NCAER
70 60 50 40 30 20 10 0 1985-86
1989-90
1992-93
L
1995-96
LM
14 12 10 8 6 4 2 0 1985-86
1989-90
M
1992-93
UM
1995-96
H
III. The Potential in the Next Decade
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NCAER
Percentage
100
C o m p o s it io n o f H o u s e h o ld s b y In c o m e C la s s e s : ( 1 9 9 4 - 9 5 P r ic e s ) ( 1 9 9 4 - 9 5 t o 2 0 0 6 - 0 7 ) H
75 50
UM M LM
25 0
L
1 9 9 4 -9 5 2 0 Households 0 1 -0 2 2 0 0 6 -0 7
Note: L= LT 22500; LM=22501 TO 45000;M=45001 TO 70000; UM=70001 TO 96000; H=GT 96000; * = Estimated
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III. The Potential in the Next Decade
NCAER
Percentage
100
C o mpo s itio n o f H o us eho lds by Inc o me C las s es (1985-95 to 2006-07)
75 50 25 0 19 85-86
1994-95 L
200 1-02 M
2006-07 H
Note: H= GT 106000; M=25001 TO 106000;L= LT 25000; * = Projected HHD SR= Household Savings Rate
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III. The Potential in the Next Decade
NCAER
Million Households
160 140 120 100 80 60 40 20 0
H O U S E H O L D S B Y IN C O M E C L A S S E S 1 4 0 .4 1 1 2 .1
8 6 .1
6 9 .9
5 5 .3
3 5 .5
4 .6
1 3 .2
1994-95
2001-02*
Note: H= GT 106000; M= 25001 TO 106000 L= LT 25000; * Projected
L
2 3 .2
2006-07*
M
H 6
III. The Potential in the Next Decade
2.1 Determinants of Poverty at the Macro Level
Potential • Per cap 7
2.2 Determinants of Poverty at the Macro Level
Other Po ratio: 8
2.3 Linear Regression at Macro Level Independent variables Constant Per capita national income Growth rate of real GDP at factor cost Growth rate of population Inflation rate based on WPI Gross fiscal deficit as percentage of GDP Share of social sectors in central govt. expend. Literacy rate Expectation of life Growth rate of agricultural GDP Share of service sectors in overall GDP Share of private sector in overall GDP Share of private sector in gross domestic invest. Gini ratio for consumer expenditure Time (1977-78=1) R squared No. of observations
Equation-1 Coefficient t-statistic 425.9 -0.002 2.58 0.027 0.84 2.740 4.49 0.008 0.38 0.123 1.60 -1.358 4.78 -1.407 6.02 -7.281 5.51 -0.018 1.28 -0.466 2.34 0.217 1.25 -0.067 3.42 43.801 4.16 -6.929 6.31 0.999 23
Equation-2 Coefficient t-statistic 456.1 -0.002 5.11 3.049
5.38
0.085 -1.39 -1.26 -7.68
1.11 5.11 7.38 5.86
-0.54
4.21
-0.07 44.06 -6.96
4.18 4.11 6.34 0.999 23
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2.4 Linear Regression at Macro Level
Independent variables Constant Per capita national income Gini ratio for consumer expenditure Time (1977-78=1) R squared No. of observations
Equation-3 Coefficient t-statistic 47.861 -0.002 3.25 29.813 1.96 -0.540 4.51 0.985 23
Equation-4 Coefficient t-statistic 41.594 -0.004 24.81 82.290 3.27 0.969 23
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2.5 Log-Linear Regression at Macro Level Independent variables (Log of)
Constant Per capita national income Growth rate of real GDP at factor cost Growth rate of population Inflation rate based on WPI Gross fiscal deficit as percentage of GDP Share of social sectors in central govt. expend. Literacy rate Expectation of life Growth rate of agricultural GDP Share of service sectors in overall GDP Share of private sector in overall GDP Share of private sector in gross domestic invest. Gini ratio for consumer expenditure Time (1977-78=1) R squared No. of observations
Equation-1 Log-Linear
Equation-2 Semi-log
Log of Poverty ratio as the Dependent variable
Poverty ratio as the Dependent variable
Coefficient t-statistic 41.43 -0.651 5.59 0.003 0.73 0.021 1.96 0.014 3.08 0.025 1.87 -0.043 1.98 -3.979 9.00 -3.622 3.17 -0.003 0.83 -1.078 5.79 0.190 0.61 -0.052 2.04 0.161 1.95 -0.139 6.50 0.999 23
Coefficient 1290 -7.07
t-statistic
1.88
1.96
1.09 -0.90 -114 -156
0.44 8.06 3.44 1.95
-31.6
5.77
-3.56 8.68 4.32
3.23 1.96 4.92
2.69
0.999 23
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2.6 Log-Linear Regression at Macro Level
Independent variables (Log of) Constant Per capita national income Gini ratio for consumer expenditure Time (1977-78=1) R squared No. of observations
Equation-3 Semi-log Coefficient t-statistic 144.99 -10.82 1.98 3.386 1.95 -0.592 3.53 0.980 23
Equation-4 Semi-log Coefficient t-statistic 317.96 -29.79 24.41 14.20 1.96 0.968 23
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3.1 Log Linear Regression at State Levels (Panel Data) Independent variables (log of) Constant Time (catch-all variable, 1983=1) Per capita consumption expenditure Rate of unemployment Literacy rate Expectation of life Old-age dependency ratio Gini ratio for consumer expenditure Degree of urbanisation R squared No. of observations
Rural sector Coeffitcient statistic 30.454 0.060 0.93 -0.019 6.82 0.247 2.57 0.612 1.96 -6.453 3.93 0.773 2.21 1.346 2.81 -0.380 2.12 0.856 68
Urban sector Coeffitcient statistic 15.164 -0.007 0.16 -0.023 9.50 0.004 1.97 0.926 1.55 -3.429 2.45 0.121 0.51 0.150 1.97 0.466 4.93 0.793 68
Combined Coeffitcient statistic 19.34 -0.016 0.46 -0.016 7.43 0.212 2.80 0.265 1.09 -3.037 2.74 -0.837 2.60 0.629 2.00 0.032 1.98 0.831 68
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3.2 Log Linear Regression at State Levels (Panel Data) Independent variables (log of) Constant Time (catch-all variable, 1983=1) Inequality adjusted pc consum. Exp Rate of unemployment Literacy rate Expectation of life Old-age dependency ratio Degree of urbanisation R squared No. of observations
Rural sector Coeffitcient statistic 25.183 0.027 -0.030 0.242 0.574 -5.674 0.901 -0.272 0.864 68
0.49 8.42 2.62 1.91 3.59 2.26 2.01
Urban sector Coeffitcient statistic 20.233
Combined Coeffitcient statistic 19.574
-0.022 -0.029 0.046 0.861 -4.616 0.237 0.311 0.780 68
-0.016 -0.022 0.211 0.244 -3.334 0.775 0.043 0.820 68
0.54 9.51 1.53 1.41 3.42 1.95 3.65
0.45 8.56 2.77 1.01 3.06 2.47 2.17
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3.3 Log Linear Regression at State Levels (Panel and Pooled Data Independent variables (log of) Constant Dummy (0 for Urban, 1 for National, 2 for Rural) Time (catch-all variable, 1983=1) Per capita consumption expenditure Inequality adjusted per capita consump. Exp. Rate of unemployment Literacy rate Expectation of life Old-age dependency ratio Gini ratio for consumer expenditure Degree of urbanisation R squared No. of observations
Equation-1 Coefficient t-statistic 26.290 -0.298 4.66 0.125 0.12 -0.017 9.91 0.241 0.295 -5.465 0.448 0.649 0.119
4.07 1.40 5.74 2.21 2.50 2.12 0.710 204
Equation-2 Coefficient t-statistic 24.833 -0.271 5.42 0.093 0.93 -0.025 0.227 0.328 -5.280 0.367
12.19 3.96 1.61 5.94 1.96
0.108
1.98 0.727 204
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3.4 Log Linear Regression at State Levels (Panel and Pooled Data Independent variables (log of)
Equation-1 Coefficient t-statistic Constant 38.18 Dummy (0 for Urban, 1 for National, 2 for Rural) -0.241 3.50 Time (catch-all variable, 1983=1) 0.226 4.37 Per capita net state domestic product (NSDP) -0.658 7.18 Inequality adjusted per capita NSDP Rate of unemployment 0.117 2.09 Literacy rate 0.823 3.39 Expectation of life -8.161 8.51 Old-age dependency ratio 1.019 4.76 Gini ratio for consumer expenditure 0.861 3.07 Degree of urbanisation 0.005 2.00 R squared 0.685 No. of observations 204
Equation-2 Coefficient t-statistic 33.307 -0.337 6.06 0.094 2.40 -0.0006 0.160 0.575 -8.393 .243
8.76 2.46 2.47 8.92 6.53
0.076
2.01 0.690 204
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Thank you Have a Good Day
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