decompr

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Loading data

We start by loading the package and the included example data set.

library(decompr)
## Please consider citing R and decompr,
## using citation()
## citation('decompr')
data(leather)
str(leather)
## List of 5
##  $ inter     : num [1:9, 1:9] 16.1 2.4 0.9 1.1 0.3 0 1.2 1.3 2.1 5.1 ...
##  $ final     : num [1:9, 1:3] 21.5 16.2 11 7.5 8.9 1.2 9.2 7.9 25.1 6.1 ...
##  $ countries : chr [1:3] "Argentina" "Turkey" "Germany"
##  $ industries: chr [1:3] "Agriculture" "Textile_and_Leather" "Transport_Equipment"
##  $ out       : num [1:9] 77.7 58.3 19 112.7 124.6 ...
##  - attr(*, "class")= chr "iot"

Leontief decomposition

decomp(leather, method = "leontief")
##    Source_Country     Source_Industry Using_Country      Using_Industry
## 1       Argentina         Agriculture     Argentina         Agriculture
## 2       Argentina         Agriculture     Argentina Textile_and_Leather
## 3       Argentina         Agriculture     Argentina Transport_Equipment
## 4       Argentina         Agriculture        Turkey         Agriculture
## 5       Argentina         Agriculture        Turkey Textile_and_Leather
## 6       Argentina         Agriculture        Turkey Transport_Equipment
## 7       Argentina         Agriculture       Germany         Agriculture
## 8       Argentina         Agriculture       Germany Textile_and_Leather
## 9       Argentina         Agriculture       Germany Transport_Equipment
## 10      Argentina Textile_and_Leather     Argentina         Agriculture
## 11      Argentina Textile_and_Leather     Argentina Textile_and_Leather
## 12      Argentina Textile_and_Leather     Argentina Transport_Equipment
## 13      Argentina Textile_and_Leather        Turkey         Agriculture
## 14      Argentina Textile_and_Leather        Turkey Textile_and_Leather
## 15      Argentina Textile_and_Leather        Turkey Transport_Equipment
## 16      Argentina Textile_and_Leather       Germany         Agriculture
## 17      Argentina Textile_and_Leather       Germany Textile_and_Leather
## 18      Argentina Textile_and_Leather       Germany Transport_Equipment
## 19      Argentina Transport_Equipment     Argentina         Agriculture
## 20      Argentina Transport_Equipment     Argentina Textile_and_Leather
## 21      Argentina Transport_Equipment     Argentina Transport_Equipment
## 22      Argentina Transport_Equipment        Turkey         Agriculture
## 23      Argentina Transport_Equipment        Turkey Textile_and_Leather
## 24      Argentina Transport_Equipment        Turkey Transport_Equipment
## 25      Argentina Transport_Equipment       Germany         Agriculture
## 26      Argentina Transport_Equipment       Germany Textile_and_Leather
## 27      Argentina Transport_Equipment       Germany Transport_Equipment
## 28         Turkey         Agriculture     Argentina         Agriculture
## 29         Turkey         Agriculture     Argentina Textile_and_Leather
## 30         Turkey         Agriculture     Argentina Transport_Equipment
## 31         Turkey         Agriculture        Turkey         Agriculture
## 32         Turkey         Agriculture        Turkey Textile_and_Leather
## 33         Turkey         Agriculture        Turkey Transport_Equipment
## 34         Turkey         Agriculture       Germany         Agriculture
## 35         Turkey         Agriculture       Germany Textile_and_Leather
## 36         Turkey         Agriculture       Germany Transport_Equipment
## 37         Turkey Textile_and_Leather     Argentina         Agriculture
## 38         Turkey Textile_and_Leather     Argentina Textile_and_Leather
## 39         Turkey Textile_and_Leather     Argentina Transport_Equipment
## 40         Turkey Textile_and_Leather        Turkey         Agriculture
## 41         Turkey Textile_and_Leather        Turkey Textile_and_Leather
## 42         Turkey Textile_and_Leather        Turkey Transport_Equipment
## 43         Turkey Textile_and_Leather       Germany         Agriculture
## 44         Turkey Textile_and_Leather       Germany Textile_and_Leather
## 45         Turkey Textile_and_Leather       Germany Transport_Equipment
## 46         Turkey Transport_Equipment     Argentina         Agriculture
## 47         Turkey Transport_Equipment     Argentina Textile_and_Leather
## 48         Turkey Transport_Equipment     Argentina Transport_Equipment
## 49         Turkey Transport_Equipment        Turkey         Agriculture
## 50         Turkey Transport_Equipment        Turkey Textile_and_Leather
## 51         Turkey Transport_Equipment        Turkey Transport_Equipment
## 52         Turkey Transport_Equipment       Germany         Agriculture
## 53         Turkey Transport_Equipment       Germany Textile_and_Leather
## 54         Turkey Transport_Equipment       Germany Transport_Equipment
## 55        Germany         Agriculture     Argentina         Agriculture
## 56        Germany         Agriculture     Argentina Textile_and_Leather
## 57        Germany         Agriculture     Argentina Transport_Equipment
## 58        Germany         Agriculture        Turkey         Agriculture
## 59        Germany         Agriculture        Turkey Textile_and_Leather
## 60        Germany         Agriculture        Turkey Transport_Equipment
## 61        Germany         Agriculture       Germany         Agriculture
## 62        Germany         Agriculture       Germany Textile_and_Leather
## 63        Germany         Agriculture       Germany Transport_Equipment
## 64        Germany Textile_and_Leather     Argentina         Agriculture
## 65        Germany Textile_and_Leather     Argentina Textile_and_Leather
## 66        Germany Textile_and_Leather     Argentina Transport_Equipment
## 67        Germany Textile_and_Leather        Turkey         Agriculture
## 68        Germany Textile_and_Leather        Turkey Textile_and_Leather
## 69        Germany Textile_and_Leather        Turkey Transport_Equipment
## 70        Germany Textile_and_Leather       Germany         Agriculture
## 71        Germany Textile_and_Leather       Germany Textile_and_Leather
## 72        Germany Textile_and_Leather       Germany Transport_Equipment
## 73        Germany Transport_Equipment     Argentina         Agriculture
## 74        Germany Transport_Equipment     Argentina Textile_and_Leather
## 75        Germany Transport_Equipment     Argentina Transport_Equipment
## 76        Germany Transport_Equipment        Turkey         Agriculture
## 77        Germany Transport_Equipment        Turkey Textile_and_Leather
## 78        Germany Transport_Equipment        Turkey Transport_Equipment
## 79        Germany Transport_Equipment       Germany         Agriculture
## 80        Germany Transport_Equipment       Germany Textile_and_Leather
## 81        Germany Transport_Equipment       Germany Transport_Equipment
##           FVAX
## 1  28.52278143
## 2   2.79395126
## 3   0.35606694
## 4   1.81066955
## 5   3.11738415
## 6   0.35901126
## 7   1.23641723
## 8   1.30283802
## 9   4.12087363
## 10  1.06206936
## 11 19.12053186
## 12  0.41813924
## 13  0.48370042
## 14  1.83290239
## 15  0.43058635
## 16  0.59370415
## 17  1.15375958
## 18  4.74903511
## 19  0.21043693
## 20  0.14228369
## 21  1.06369578
## 22  0.03329456
## 23  0.07905450
## 24  0.04024626
## 25  0.02318460
## 26  0.07482343
## 27  0.19326212
## 28  0.71952151
## 29  1.34237213
## 30  0.11504126
## 31 34.92704803
## 32  6.99949698
## 33  1.47711579
## 34  2.55430885
## 35  1.52213499
## 36  6.18062537
## 37  0.41201175
## 38  1.38523849
## 39  0.11764036
## 40  2.69291816
## 41 40.16714096
## 42  1.31799873
## 43  1.10939926
## 44  1.15207241
## 45  9.50690317
## 46  0.03482652
## 47  0.08553139
## 48  0.02667530
## 49  0.81210167
## 50  0.90751892
## 51  3.16041392
## 52  0.11511911
## 53  0.07448266
## 54  0.64647326
## 55  0.92530356
## 56  2.25142713
## 57  0.16222512
## 58  2.31122022
## 59  2.05958253
## 60  0.51211484
## 61 29.87633590
## 62  5.24719728
## 63  9.60069308
## 64  0.64666560
## 65  0.72785683
## 66  0.08244379
## 67  1.53837777
## 68  2.54889673
## 69  0.63316614
## 70  1.45935830
## 71 18.95868110
## 72  8.15831503
## 73  0.66638333
## 74  0.65080723
## 75  0.25807221
## 76  1.29066963
## 77  1.48802285
## 78  0.56934671
## 79  1.73217260
## 80  1.51401054
## 81 34.74381924

Koopman-Wang-Wei decomposition

decomp(leather, method = "kww")
##     Country  DVA_FIN  DVA_INT DVA_INTrex   RDV_FIN   RDV_INT       DDC
## 1 Argentina 19.34940 18.97119   8.411491  5.259501 0.8259724 0.8723949
## 2    Turkey 43.39461 26.20678   7.740053 10.475795 2.0075781 2.6369363
## 3   Germany 78.73101 15.23967   2.748464  5.689669 4.4335916 4.4481800
##     FVA_FIN  FVA_INT      FDC
## 1  3.450595 3.388617 3.770832
## 2 10.205386 5.359698 5.573163
## 3 26.668992 4.455024 5.185401

Wang-Wei-Zhu decomposition

decomp(leather, method = "wwz")
##    Exporting_Country  Exporting_Industry Importing_Country    DVA_FIN
## 1          Argentina         Agriculture         Argentina  0.0000000
## 2          Argentina         Agriculture            Turkey  5.4744354
## 3          Argentina         Agriculture           Germany  7.5385668
## 4          Argentina Textile_and_Leather         Argentina  0.0000000
## 5          Argentina Textile_and_Leather            Turkey  1.4704511
## 6          Argentina Textile_and_Leather           Germany  3.9470004
## 7          Argentina Transport_Equipment         Argentina  0.0000000
## 8          Argentina Transport_Equipment            Turkey  0.3534427
## 9          Argentina Transport_Equipment           Germany  0.5655083
## 10            Turkey         Agriculture         Argentina  6.2797497
## 11            Turkey         Agriculture            Turkey  0.0000000
## 12            Turkey         Agriculture           Germany 11.8896593
## 13            Turkey Textile_and_Leather         Argentina  7.2273648
## 14            Turkey Textile_and_Leather            Turkey  0.0000000
## 15            Turkey Textile_and_Leather           Germany 13.7238725
## 16            Turkey Transport_Equipment         Argentina  0.8407805
## 17            Turkey Transport_Equipment            Turkey  0.0000000
## 18            Turkey Transport_Equipment           Germany  3.4331870
## 19           Germany         Agriculture         Argentina  7.8610949
## 20           Germany         Agriculture            Turkey 15.2949565
## 21           Germany         Agriculture           Germany  0.0000000
## 22           Germany Textile_and_Leather         Argentina  6.5544233
## 23           Germany Textile_and_Leather            Turkey  8.3797057
## 24           Germany Textile_and_Leather           Germany  0.0000000
## 25           Germany Transport_Equipment         Argentina 16.9168288
## 26           Germany Transport_Equipment            Turkey 23.7239990
## 27           Germany Transport_Equipment           Germany  0.0000000
##       DVA_INT DVA_INTrexI1 DVA_INTrexF DVA_INTrexI2     RDV_INT    RDV_FIN
## 1   0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
## 2   2.6813686   1.13634407  1.40930027  0.504931544 0.168614730 0.70568372
## 3   5.1055954   0.41301548  2.07223830  0.184142503 0.241349852 1.40626760
## 4   0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
## 5   1.6059520   0.51989101  0.73959485  0.238689217 0.078969730 0.33143582
## 6   6.4499428   0.53948810  2.81987967  0.236761536 0.317887034 1.98497120
## 7   0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
## 8   0.1488951   0.02512465  0.05166467  0.011502878 0.004631660 0.01867612
## 9   0.3167888   0.02878668  0.13002229  0.012763061 0.014519380 0.09346627
## 10  1.1190525   0.42428189  0.32364669  0.127683939 0.154036261 0.17353911
## 11  0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
## 12  9.1875645   0.44406842  2.46325705  0.104348906 0.693923875 3.73948515
## 13  1.0471326   0.46078259  0.29530382  0.140987907 0.151185856 0.13152490
## 14  0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
## 15 12.0058480   0.62802955  3.90680904  0.127367338 0.950059562 5.57979048
## 16  0.1781916   0.02204374  0.02060577  0.006672856 0.008562439 0.01119518
## 17  0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
## 18  0.6546040   0.03517716  0.21633307  0.007037041 0.049810123 0.31139842
## 19  2.0199906   0.28226589  0.28018271  0.060605877 0.820750168 0.57157404
## 20  2.0603035   0.11637081  0.47705677  0.015705424 0.736949683 0.97226390
## 21  0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
## 22  0.7909465   0.11961386  0.15208027  0.027530616 0.309465907 0.25977474
## 23  3.6874998   0.18967992  0.78711215  0.023624112 1.222414373 1.69900744
## 24  0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
## 25  2.3746384   0.18110921  0.25997068  0.039006620 0.436904740 0.42764724
## 26  3.2689405   0.14831124  0.60720101  0.018387426 0.907106729 1.37381855
## 27  0.0000000   0.00000000  0.00000000  0.000000000 0.000000000 0.00000000
##       RDV_FIN2    OVA_FIN    MVA_FIN    OVA_INT    MVA_INT     DDC_FIN
## 1  0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 2  0.347019751 0.41126356 0.21430105 0.19588405 0.10207118 0.064864146
## 3  0.084582830 0.29510308 0.56633015 0.19467191 0.37359342 0.087209223
## 4  0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 5  0.166207540 0.24200608 0.18754280 0.26256584 0.20347560 0.027678457
## 6  0.107403534 0.50340436 0.64959526 0.81211670 1.04795907 0.106880311
## 7  0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 8  0.007976699 0.09668098 0.04987633 0.04203798 0.02168679 0.001418669
## 9  0.005810004 0.07980213 0.15468957 0.04511074 0.08744330 0.005097011
## 10 0.182994956 0.83991301 0.38033734 0.15006977 0.06795601 0.107000467
## 11 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 12 0.057224342 0.72010537 1.59023530 0.55070767 1.21614811 0.452925213
## 13 0.200948224 0.91653494 0.75610026 0.13297218 0.10969609 0.101320108
## 14 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 15 0.074151999 1.43574094 1.74038658 1.24831079 1.51318619 0.597136653
## 16 0.009457655 0.24206509 0.11715443 0.05450683 0.02638016 0.005182273
## 17 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 18 0.004084652 0.47838059 0.98843243 0.09450248 0.19526151 0.031112965
## 19 0.131707311 0.89832585 0.44057920 0.22998309 0.11279400 0.605435276
## 20 0.029961455 0.85721388 1.74782965 0.11412326 0.23269341 0.531356894
## 21 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 22 0.058019038 0.70047263 0.64510407 0.08462563 0.07793643 0.224432812
## 23 0.046204332 0.82475330 0.89554095 0.36128082 0.39228915 0.921022483
## 24 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 25 0.084238072 5.26294538 2.92022578 0.77714301 0.43120969 0.314861124
## 26 0.035453172 4.09529671 7.38070428 0.58558374 1.05536198 0.673700534
## 27 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
##       DDC_INT        ODC        MDC texp texpint texpfd texpdiff
## 1  0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
## 2  0.07171574 0.33673597 0.17546624 14.0     7.9    6.1        0
## 3  0.09804177 0.18474634 0.35454534 19.2    10.8    8.4        0
## 4  0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
## 5  0.08379741 0.36155510 0.28018741  6.8     4.9    1.9        0
## 6  0.28388511 0.82641514 1.06640983 21.7    16.6    5.1        0
## 7  0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
## 8  0.01286371 0.03530681 0.01821428  0.9     0.4    0.5        0
## 9  0.02894336 0.04466665 0.08658247  1.7     0.9    0.8        0
## 10 0.06712404 0.20829312 0.09432126 10.7     3.2    7.5        0
## 11 0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
## 12 0.44050153 0.51423688 1.13560832 35.2    21.0   14.2        0
## 13 0.06941710 0.19656847 0.16216018 12.1     3.2    8.9        0
## 14 0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
## 15 0.65512387 1.31733277 1.59685374 47.1    30.2   16.9        0
## 16 0.01834868 0.02618153 0.01267131  1.6     0.4    1.2        0
## 17 0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
## 18 0.09174341 0.10075490 0.20818030  6.9     2.0    4.9        0
## 19 0.09794912 0.32658836 0.16017355 14.9     5.7    9.2        0
## 20 0.10138593 0.16842209 0.34340686 23.8     5.9   17.9        0
## 21 0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
## 22 0.04935351 0.12817618 0.11804455 10.3     2.4    7.9        0
## 23 0.21797800 0.50430185 0.54758551 20.7    10.6   10.1        0
## 24 0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
## 25 0.26247603 0.58577113 0.32502408 31.6     6.5   25.1        0
## 26 0.44822829 0.70583084 1.27207602 46.3    11.1   35.2        0
## 27 0.00000000 0.00000000 0.00000000  0.0     0.0    0.0        0
##    texpdiffpercent texpfddiff texpfddiffpercent texpintdiff texpintdiffpercent
## 1                0          0                 0           0                  0
## 2                0          0                 0           0                  0
## 3                0          0                 0           0                  0
## 4                0          0                 0           0                  0
## 5                0          0                 0           0                  0
## 6                0          0                 0           0                  0
## 7                0          0                 0           0                  0
## 8                0          0                 0           0                  0
## 9                0          0                 0           0                  0
## 10               0          0                 0           0                  0
## 11               0          0                 0           0                  0
## 12               0          0                 0           0                  0
## 13               0          0                 0           0                  0
## 14               0          0                 0           0                  0
## 15               0          0                 0           0                  0
## 16               0          0                 0           0                  0
## 17               0          0                 0           0                  0
## 18               0          0                 0           0                  0
## 19               0          0                 0           0                  0
## 20               0          0                 0           0                  0
## 21               0          0                 0           0                  0
## 22               0          0                 0           0                  0
## 23               0          0                 0           0                  0
## 24               0          0                 0           0                  0
## 25               0          0                 0           0                  0
## 26               0          0                 0           0                  0
## 27               0          0                 0           0                  0
##      DViX_Fsr
## 1   0.0000000
## 2  12.6653262
## 3  18.5127115
## 4   0.0000000
## 5   5.0399905
## 6  15.2000533
## 7   0.0000000
## 8   0.4855005
## 9   0.9139796
## 10  9.5810525
## 11  0.0000000
## 12 32.5558824
## 13  8.8144222
## 14  0.0000000
## 15 34.0847033
## 16  0.9503192
## 17  0.0000000
## 18  3.8384373
## 19 16.3782379
## 20 26.3978378
## 21  0.0000000
## 22  9.6143465
## 23 17.5471871
## 24  0.0000000
## 25 14.8384045
## 26 22.0663893
## 27  0.0000000