f-linear-vs-log-scale-on-income-mountains
 Share
The version of the browser you are using is no longer supported. Please upgrade to a supported browser.Dismiss

View only
 
 
ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACADAEAFAGAHAIAJAKALAMANAOAPAQARASATAUAVAWAXAYAZBABBBCBDBEBFBGBHBIBJBKBLBMBNBOBPBQBRBSBTBUBVBWBXBYBZCACBCCCDCECFCGCHCICJCKCLCMCNCOCPCQCRCSCTCUCV
1
Visual comparison of income mountains on linear scale and log scale
2
This knowledge is free to use under CC-BY License 4.0!
3
This file is part of Gapminder's fact-base. Here's the link to the public share folder
4
Updated by Ola Rosling on October 4, 2018
5
6
When visualizing income, we don't use a linear scale, because the value of one dollar is not the same on different income levels.
7
The value diminishes with higher incomes. Instead we use a doubling scale, or logarithmic scale, which makes doubling of incomes be the same distance, on all levels of income.
8
The data below are used to compare the look of the curves when using a linear, vs doubling scales.
9
10
These two graphs shows the same data but with different x-axis scales.
11
Comparing the number of people on different income levels in Mexico and USA.
12
13
Linear scale graph
14
2016Number of people in each income bracket ( $/day in constant ppp dollars 2011). The $ value at the top of each column, represents the upper limit of the bracket and the reviouse column is the lower limit.Extreme poverty rate
15
Linear brackets
16
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990
17
Mexico2786.964413299434.1822807383.42431511049.1442358700.2293174480.3663846952.9784339627.0024659245.3954830978.7554884720.8024848710.7444747112.9514599516.9254421271.9224224117.0384016856.2943805973.6953596153.3863390701.9393191882.8223001177.1232819484.5952647277.4682484717.4112331744.012188141.3652053587.9721927693.8611810028.0521700138.6721597567.5351501860.5231412574.8461329283.931251580.5671179078.7721111414.6821048246.777989255.6128934143.2082882632.2091834464.9053789402.1639747222.324707720.086670705.417636002.4902603448.6681572893.5359544197.9899517233.3818491880.7188468029.919445579.1202424434.0394404507.3806385718.2879367991.8416351258.5936335454.1398320518.7269306396.8906293037.1231280391.5673268415.7363257068.2544246310.6207236106.9903226423.9744217230.4551208497.4166200197.7885192306.3026184799.3606177654.9121170852.3428164372.3708158196.9511152309.1884146693.2548141334.316136218.4611131332.6393126664.6006122202.8407117936.5509113855.571109950.3459106211.8851
18
US0.00032435139.23634244822.86697884156.7288311935.7782725635.997846364.4422574947.06215111946.2034157647.9142212056.6903274910.6502345715.1669423787.768508307.0461598360.1242692985.2826791208.0523892070.2804994652.42521098089.7611201583.3541304406.721405909.0241505515.5851602726.3721697113.0221788314.8561876034.241960031.5782040120.162116161.0162188057.9042255752.5132319219.9292378464.4092433515.472484424.3112531260.5522574109.2822613068.4142648246.3152679759.6952707731.7462732290.52753567.3872771695.9822786810.9222799046.9622808538.1822815417.2962819815.0872821859.9212821677.3562819389.8232815116.3652808972.4442801069.7912791516.3012780415.9622767868.8272753970.9992738814.6512722488.0592705075.6592686658.1072667312.3642647111.7772626126.1792604421.9842582062.2992559107.0252535612.9692511633.9572487220.9452462422.1262437283.0462411846.7062386153.6752360242.1912334148.2652307905.7792281546.5832255100.5922228595.8732202058.7362175513.8182148984.1622122491.3032096055.336
19
20
21
22
23
24
Log scale graph
25
2016
Number of people in each income bracket ( $/day in constant ppp dollars 2011). The $ value at the top of each column, represents the upper limit of the bracket and the previous column is the lower limit. The brackets width increases exponentially, at a rate of 1.148698355 which gives a doubling within 5 brackets.
26
Exponentially increasing brackets
27
0.0080.0090.010.0120.0140.0160.0180.0210.0240.0270.0310.0360.0410.0470.0540.0630.0720.0820.0950.1090.1250.1440.1650.1890.2180.250.2870.330.3790.4350.50.570.660.760.8711.151.321.521.7422.32.643.033.4844.595.286.066.9689.1910.5612.1313.931618.421.124.327.93236.842.248.555.76473.584.497111.4128147168.9194222.925629433838844651258867677689110241176135115521783
28
Mexico000000000011361223458716330054095616572817469776831232819408299884549267791993021431002030682840723921805348907213089621671269496165574521321582706327337906041410164969850582880666676767426638804289084591728632623854205281919357612110685319559787555055974414680633012112553436192141914087471008184705702484203326387216606141797917005864137095232091435387655280313418311052594329179965026136311
29
US00000000000000000000000000000114921501132515401128229445358722163262976352891917031552772570124161666595911023380155385123069263344644472758065024518685529112444431408301217035039198724382233020924145913251060072508777424085343222121441967882616752792137103811079374881815945977643421536328736901897229121539175700445932127198315740089116493882679414224738437451854895421
30
31
32
33
34
35
36
The number of people in each income bracket was calculated by based on estimates of Mean Houshold Income and a common assumption about lognormal distribution of people over income.
37
Documented here:
gapm.io/ddocincm
38
geonameregionrest_westyeargini
household_income
population
39
mexMexicoameRest201648.74086127540423
40
usa
United States
ameWest20164124051322179605
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Loading...