MEASURING INEQUALITY OF LAND:

 

 

    Gini Index:

 

Now, from BBS land holding data collected from Naogaon in 1996, we had the following data-

 

 

Number of Holdings surveyed

Percentage holding

Owned Area in acres

Average per capita land

< 0.01

139,950

31.734838

31,202

0.2229511

0.01 – 0.04

6,511

1.476424

1,993

0.3060974

0.05 – 0.49

62,964

14.277616

18,858

0.2995045

0.50 – 0.99

53,656

12.166949

29,408

0.5480841

1.00 – 1.49

46,165

10.468301

45,722

0.9904040

1.50 – 2.49

48,950

11.099824

76,715

1.5672114

2.50 – 7.49

69,486

15.756534

1244,169

17.9053191

7.50 +

13,316

3.019515

153,303

11.5126915

 

 

100 %

 

33.35226

 

G         = 1 +  -  ( 17.9053191 + 2*11.5126915 + 3*1.5672114 + 4*0.9904040 + 5*0.5480841 + 6*0.3060974 + 7* 0.2995045 + 8*0.2229511 )

            = 1 +  - (58.0511)

            = 1 + 0.125 - 0.4351361

            = 0.6898639

 

    Lorenz Ratio:

Now, from BBS holding data collected from Naogaon in 1996, we had the following data-

 

 

Number of Holdings surveyed

Percentage holding

Owned Area in acres

Percent share of aggregate land

Cumulative percent share aggregate land (Q)

P * ()

< 0.01

139,950

31.734838

31,202

1.9484566

1.948457

1.948457

61.833955

0.01 – 0.04

6,511

1.476424

1,993

0.1244559

2.072913

4.021369

5.937246

0.05 – 0.49

62,964

14.277616

18,858

1.1776167

3.250529

5.323442

76.006057

0.50 – 0.99

53,656

12.166949

29,408

1.8364276

5.086957

8.337486

101.441764

1.00 – 1.49

46,165

10.468301

45,722

2.8551803

7.942137

13.029094

136.392482

1.50 – 2.49

48,950

11.099824

76,715

4.7905856

12.732723

20.674860

229.487295

2.50 – 7.49

69,486

15.756534

1244,169

77.694037

90.426760

103.15948

1625.43589

7.50 +

13,316

3.019515

153,303

9.5732404

100

190.42676

574.996424

 

 

100 %

 

 

 

 

2811.531

 

Now, LR          = 1 - (61.833955 + 5.937246 + 76.006057 + 101.441764 + 136.392482 + 229.487295 + 1625.435893 + 574.996424)

                        =  1 - (2811.531)

                        =  0.7188469

 

 

        Atkinson Measure of Inequality:

 

 

Now, from BBS holding data collected from Naogaon in 1996, we had the following data-

 

 

Number of Holdings surveyed

Percentage holding

Owned Area in acres

,=3

< 0.01

139,950

31.734838

31,202

0.05347788

349.66452994

0.01 – 0.04

6,511

1.476424

1,993

0.07342167

185.50321134

0.05 – 0.49

62,964

14.277616

18,858

0.07342167

193.75994241

0.50 – 0.99

53,656

12.166949

29,408

0.13146552

57.85970916

1.00 – 1.49

46,165

10.468301

45,722

0.23756205

17.71927222

1.50 – 2.49

48,950

11.099824

76,715

0.37591727

7.07645016

2.50 – 7.49

69,486

15.756534

1244,169

4.29483758

0.05421338

7.50 +

13,316

3.019515

153,303

2.76147775

0.13113448

 

 

100 %

 

 

811.7685

 

 

       = 1 -           for  = 3

            = 1 - 0.09927249

            = 0.9007275

 

Similarly,           = 0.7867666          for  = 1.25

                         = 0.8276605          for  = 1.50

                         = 0.8529692          for  = 1.75

                         = 0.8695159          for  = 2.00

                         = 0.8809816          for  = 2.25

                         = 0.8893473          for  = 2.50

                         = 0.8957148          for  = 2.75

 

 

 

 

 

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Mohammad Ehsanul Karim <wildscop@yahoo.com>

Institute of Statistical Research and Training

University of Dhaka, Dhaka -1000, Bangladesh

 

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