| id | elm | ||||||
|---|---|---|---|---|---|---|---|
litvis |
|
@import "assets/litvis.less"
import Tidy exposing (..)
import VegaLite exposing (..)Gridded global wind data can be extracted via an API at 0.25 degree intervals. For each sampled grid location, a grid:
uvWindTable : List String
uvWindTable =
tableSummary 5 gridThe velocity magnitude (speed) and direction can be calculated with a simple transformation of each dirCats) based on the wind direction rounded to the nearest 15 degree group:
speeds : List Float
speeds =
List.map2 (\u v -> sqrt (u * u + v * v))
(numColumn "u" grid)
(numColumn "v" grid)
directions : List Float
directions =
List.map2 (\u v -> 180 + 180 * atan2 -u -v / pi)
(numColumn "u" grid)
(numColumn "v" grid)
data =
dataFromColumns []
<< dataColumn "longitude" (nums (numColumn "longitude" grid))
<< dataColumn "latitude" (nums (numColumn "latitude" grid))
<< dataColumn "dir" (nums directions)
<< dataColumn "dirCat"
(directions
|> List.map ((*) (1 / 15) >> round >> toFloat >> (*) 15)
|> nums
)
<< dataColumn "speed" (nums speeds)For convenience, pre-calculated direction and speed values have been stored at gicentre.github.io/data/windVectors.csv.
path : String
path =
"https://gicentre.github.io/data/"The data cover the region between -10 to 10 degrees longitude and 45 to 60 degrees latitude.
proj : ( VLProperty, Spec )
proj =
projection [ prType equalEarth ]basemap : Spec
basemap =
let
cfg =
configure
<< configuration (coView [ vicoStroke Nothing ])
mapData =
dataFromUrl (path ++ "europe/nwEuropeLand.json") [ topojsonFeature "ne_10m_land" ]
in
toVegaLite [ cfg [], width 600, height 450, mapData, proj, geoshape [ maFill "#ddd" ] ]Wind speed in metres per second can be shown as a grid of coloured rectangles:
encPos =
encoding
<< position Longitude [ pName "longitude" ]
<< position Latitude [ pName "latitude" ]windSpeed : Spec
windSpeed =
let
enc =
encPos
<< color [ mName "speed", mQuant, mScale [ scScheme "yelloworangered" [] ] ]
in
toVegaLite [ width 600, height 450, data [], proj, enc [], square [ maSize 80 ] ]Similarly, we can show direction by colouring rectangles according to direction using a perceptually scaled cyclical colour scheme:
windDirection : Spec
windDirection =
let
enc =
encPos
<< color
[ mName "dir"
, mQuant
, mLegend []
, mScale [ scDomain (doNums [ 0, 360 ]), scScheme "rainbow" [] ]
]
in
toVegaLite [ width 600, height 560, data [], proj, enc [], square [ maSize 80 ] ]One of the problems with using colour is that it is hard to combine both wind strength and wind direction. The apparent discontinuity in wind direction running east-west along the English channel is associated with very low wind speeds, so is greatly exaggerated.
We could instead, size each cell according to wind speed and colour by direction:
windVelocity : Spec
windVelocity =
let
enc =
encPos
<< color
[ mName "dir"
, mQuant
, mLegend []
, mScale [ scDomain (doNums [ 0, 360 ]), scScheme "rainbow" [] ]
]
<< size [ mName "speed", mQuant ]
in
toVegaLite [ width 600, height 560, data [], proj, enc [], circle [] ]This may be an improvement, but it does leave unsatisfactory overlaps and gaps between circles packed into the grid.
An alternative is to use directional symbol (symWedge) to indicate each wind vector, sizing it by magnitude and orientating it based on wind direction via the angle channel.
windVelocityGlyph : Spec
windVelocityGlyph =
let
cfg =
configure
<< configuration (coView [ vicoStep 10, vicoFill (Just "black") ])
geoData =
dataFromUrl (path ++ "europe/nwEuropeLand.json") [ topojsonFeature "ne_10m_land" ]
geoSpec =
asSpec
[ geoData
, geoshape [ maStroke "white", maStrokeWidth 0.4, maFilled False ]
]
enc =
encPos
<< color
[ mName "dir"
, mQuant
, mLegend []
, mScale [ scDomain (doNums [ 0, 360 ]), scScheme "rainbow" [] ]
]
<< angle
[ mName "dir"
, mQuant
, mScale [ scDomain (doNums [ 0, 360 ]), scRange (raNums [ 180, 540 ]) ]
]
<< size [ mName "speed", mQuant ]
windSpec =
asSpec [ data [], enc [], point [ maShape symWedge ] ]
in
toVegaLite
[ cfg []
, width 600
, height 560
, proj
, layer [ geoSpec, windSpec ]
]grid : Table
grid =
"""longitude,latitude,u,v
0.125,45.125,-2.3278859,-2.0757618
0.375,45.125,-2.418542,-2.1568856
0.625,45.125,-2.5051136,-2.2156417
0.875,45.125,-2.573852,-2.2754948
1.125,45.125,-2.5740244,-2.3463504
1.375,45.125,-2.5237346,-2.4176822
1.625,45.125,-2.4763162,-2.4798393
1.875,45.125,-2.4192505,-2.545767
2.125,45.125,-2.3421676,-2.6293306
2.375,45.125,-2.2625844,-2.71131
2.625,45.125,-2.1912684,-2.7814302
2.875,45.125,-2.0108116,-2.923425
3.125,45.125,-1.6827409,-3.165705
3.375,45.125,-1.317754,-3.426391
3.625,45.125,-0.9513835,-3.6794157
3.875,45.125,-0.70536333,-3.9181879
4.125,45.125,-0.5801336,-4.1377296
4.375,45.125,-0.44607085,-4.370227
4.625,45.125,-0.3287639,-4.5056515
4.875,45.125,-0.31374216,-4.1797724
5.125,45.125,-0.3749604,-3.5206769
5.375,45.125,-0.43279248,-2.885188
5.625,45.125,-0.4708352,-2.3655617
5.875,45.125,-0.46791226,-2.0599782
6.125,45.125,-0.442587,-1.845
6.375,45.125,-0.4227227,-1.5919025
6.625,45.125,-0.41398177,-1.4598612
6.875,45.125,-0.40880117,-1.508961
7.125,45.125,-0.40218085,-1.5985005
7.375,45.125,-0.39018384,-1.6890999
7.625,45.125,-0.5921852,-1.6886955
7.875,45.125,-1.015783,-1.6021508
8.125,45.125,-1.4436167,-1.524412
8.375,45.125,-1.8183045,-1.4288709
8.625,45.125,-1.9664539,-1.2383049
8.875,45.125,-1.9460206,-0.97411174
9.125,45.125,-1.9292563,-0.7136059
9.375,45.125,-1.9013708,-0.51593095
9.625,45.125,-1.8510672,-0.43603587
9.875,45.125,-1.7879797,-0.4071636
-9.875,45.125,-7.819186,-3.4351192
-9.625,45.125,-8.033488,-3.3464293
-9.375,45.125,-8.222719,-3.2358263
-9.125,45.125,-8.356262,-3.0813725
-8.875,45.125,-8.462087,-2.9059563
-8.625,45.125,-8.568308,-2.7333026
-8.375,45.125,-8.650252,-2.5629334
-8.125,45.125,-8.70185,-2.3923118
-7.875,45.125,-8.747611,-2.2240236
-7.625,45.125,-8.795851,-2.0580432
-7.375,45.125,-8.682054,-1.8884294
-7.125,45.125,-8.404583,-1.7126452
-6.875,45.125,-8.126902,-1.53564
-6.625,45.125,-7.8543167,-1.3699518
-6.375,45.125,-7.603649,-1.2488306
-6.125,45.125,-7.371075,-1.1620964
-5.875,45.125,-7.14097,-1.0772634
-5.625,45.125,-6.90953,-1.0457495
-5.375,45.125,-6.6768456,-1.118997
-5.125,45.125,-6.44676,-1.2430084
-4.875,45.125,-6.2199535,-1.3650718
-4.625,45.125,-5.983691,-1.5271015
-4.375,45.125,-5.7333508,-1.7441894
-4.125,45.125,-5.4753556,-1.9740254
-3.875,45.125,-5.2137165,-2.1990335
-3.625,45.125,-5.0340824,-2.4350471
-3.375,45.125,-4.9350586,-2.6773005
-3.125,45.125,-4.84052,-2.913485
-2.875,45.125,-4.738929,-3.1265202
-2.625,45.125,-4.572945,-3.2255108
-2.375,45.125,-4.3594,-3.2218661
-2.125,45.125,-4.1466355,-3.2191358
-1.875,45.125,-3.9525442,-3.1983821
-1.625,45.125,-3.7884438,-3.1064012
-1.375,45.125,-3.5575428,-2.9076657
-1.125,45.125,-2.7766,-2.2451804
-0.875,45.125,-2.1532414,-1.7354169
-0.625,45.125,-2.1817815,-1.8072073
-0.375,45.125,-2.2266502,-1.9023334
-0.125,45.125,-2.2647483,-1.9862318
0.125,45.375,-2.5188596,-2.0025253
0.375,45.375,-2.6025705,-2.0766172
0.625,45.375,-2.6881764,-2.1293519
0.875,45.375,-2.756056,-2.1799643
1.125,45.375,-2.7418666,-2.2263901
1.375,45.375,-2.6656473,-2.2623098
1.625,45.375,-2.592326,-2.2896817
1.875,45.375,-2.51184,-2.3253112
2.125,45.375,-2.417467,-2.392035
2.375,45.375,-2.323971,-2.468191
2.625,45.375,-2.237698,-2.5347354
2.875,45.375,-2.0531137,-2.6548667
3.125,45.375,-1.7307019,-2.8551126
3.375,45.375,-1.3691382,-3.0724294
3.625,45.375,-1.0059105,-3.2814698
3.875,45.375,-0.7608008,-3.5034018
4.125,45.375,-0.64201117,-3.7381303
4.375,45.375,-0.52222115,-3.9877663
4.625,45.375,-0.4112689,-4.1636353
4.875,45.375,-0.39131334,-3.9290178
5.125,45.375,-0.44648573,-3.374719
5.375,45.375,-0.5033148,-2.8292189
5.625,45.375,-0.5418714,-2.3587227
5.875,45.375,-0.53133273,-2.062141
6.125,45.375,-0.491783,-1.8573779
6.375,45.375,-0.4606811,-1.6222836
6.625,45.375,-0.46022934,-1.5329417
6.875,45.375,-0.4617189,-1.6121014
7.125,45.375,-0.4406819,-1.697877
7.375,45.375,-0.41300014,-1.781756
7.625,45.375,-0.56165695,-1.7702274
7.875,45.375,-0.9206304,-1.7208405
8.125,45.375,-1.3110341,-1.7332728
8.375,45.375,-1.6462007,-1.7255487
8.625,45.375,-1.7482544,-1.5909998
8.875,45.375,-1.6781092,-1.3308437
9.125,45.375,-1.613237,-1.0468873
9.375,45.375,-1.5723517,-0.8239203
9.625,45.375,-1.5751511,-0.720669
9.875,45.375,-1.596322,-0.6697403
-9.875,45.375,-7.2097726,-3.0021877
-9.625,45.375,-7.397071,-2.9507456
-9.375,45.375,-7.5450397,-2.8787389
-9.125,45.375,-7.625926,-2.7712355
-8.875,45.375,-7.6766043,-2.6471703
-8.625,45.375,-7.720609,-2.5243917
-8.375,45.375,-7.7428746,-2.4036458
-8.125,45.375,-7.7466507,-2.2846434
-7.875,45.375,-7.747083,-2.1661825
-7.625,45.375,-7.748497,-2.0471628
-7.375,45.375,-7.664565,-1.9286381
-7.125,45.375,-7.49317,-1.8092834
-6.875,45.375,-7.320266,-1.6884696
-6.625,45.375,-7.14468,-1.5783231
-6.375,45.375,-6.9762797,-1.5048155
-6.125,45.375,-6.8178983,-1.4572287
-5.875,45.375,-6.6619596,-1.4121101
-5.625,45.375,-6.495985,-1.4152966
-5.375,45.375,-6.3124914,-1.5066214
-5.125,45.375,-6.1227565,-1.6394279
-4.875,45.375,-5.935071,-1.7720392
-4.625,45.375,-5.7480607,-1.9369087
-4.375,45.375,-5.559852,-2.1438165
-4.125,45.375,-5.367242,-2.3597853
-3.875,45.375,-5.1734133,-2.5675426
-3.625,45.375,-5.0518856,-2.7648313
-3.375,45.375,-4.999322,-2.9522002
-3.125,45.375,-4.9556904,-3.1385925
-2.875,45.375,-4.9056735,-3.306389
-2.625,45.375,-4.779898,-3.371043
-2.375,45.375,-4.5968256,-3.3418734
-2.125,45.375,-4.414903,-3.308361
-1.875,45.375,-4.2426834,-3.2578516
-1.625,45.375,-4.0788937,-3.1463208
-1.375,45.375,-3.8381252,-2.9309154
-1.125,45.375,-3.0394988,-2.2395604
-0.875,45.375,-2.3982337,-1.706699
-0.625,45.375,-2.4140997,-1.7680628
-0.375,45.375,-2.4439337,-1.8514701
-0.125,45.375,-2.4678266,-1.9234902
0.125,45.625,-2.5557125,-1.755871
0.375,45.625,-2.6453793,-1.8429455
0.625,45.625,-2.7385883,-1.9079127
0.875,45.625,-2.8133385,-1.9666829
1.125,45.625,-2.7827096,-2.0038903
1.375,45.625,-2.6677885,-2.0160594
1.625,45.625,-2.5545874,-2.0217535
1.875,45.625,-2.438375,-2.035686
2.125,45.625,-2.3189747,-2.0855336
2.375,45.625,-2.2046149,-2.152184
2.625,45.625,-2.0958009,-2.2109163
2.875,45.625,-1.9204727,-2.3117354
3.125,45.625,-1.6427231,-2.484289
3.375,45.625,-1.3287959,-2.6778967
3.625,45.625,-1.012322,-2.8640392
3.875,45.625,-0.7947747,-3.0722558
4.125,45.625,-0.70024896,-3.311115
4.375,45.625,-0.62092346,-3.5720115
4.625,45.625,-0.54210645,-3.798527
4.875,45.625,-0.531152,-3.6907976
5.125,45.625,-0.58284736,-3.2739944
5.375,45.625,-0.6388908,-2.8400586
5.625,45.625,-0.68683237,-2.4499083
5.875,45.625,-0.6949226,-2.2482452
6.125,45.625,-0.67617714,-2.189318
6.375,45.625,-0.6690367,-2.1100578
6.625,45.625,-0.6749189,-2.0985062
6.875,45.625,-0.61023676,-2.067676
7.125,45.625,-0.46769565,-1.9350243
7.375,45.625,-0.31841764,-1.7978805
7.625,45.625,-0.296789,-1.6545589
7.875,45.625,-0.49164182,-1.6660733
8.125,45.625,-0.7730643,-1.8458021
8.375,45.625,-1.0214152,-2.0177982
8.625,45.625,-1.131555,-2.0604942
8.875,45.625,-1.143751,-1.9134171
9.125,45.625,-1.1628431,-1.6859006
9.375,45.625,-1.1996219,-1.4945693
9.625,45.625,-1.2651129,-1.385864
9.875,45.625,-1.340052,-1.3189282
-9.875,45.625,-6.611139,-2.647025
-9.625,45.625,-6.80484,-2.6345217
-9.375,45.625,-6.9488554,-2.6037426
-9.125,45.625,-7.038348,-2.548266
-8.875,45.625,-7.110993,-2.4815936
-8.625,45.625,-7.1657376,-2.4149022
-8.375,45.625,-7.182584,-2.349641
-8.125,45.625,-7.1772256,-2.28518
-7.875,45.625,-7.169023,-2.2195947
-7.625,45.625,-7.1634984,-2.1514678
-7.375,45.625,-7.1137166,-2.081539
-7.125,45.625,-7.0149097,-2.0106282
-6.875,45.625,-6.913704,-1.9384027
-6.625,45.625,-6.795498,-1.8775218
-6.375,45.625,-6.665491,-1.8451848
-6.125,45.625,-6.539716,-1.8293973
-5.875,45.625,-6.414952,-1.816395
-5.625,45.625,-6.275317,-1.848124
-5.375,45.625,-6.1168275,-1.9468956
-5.125,45.625,-5.9540224,-2.0698853
-4.875,45.625,-5.7930636,-2.1936936
-4.625,45.625,-5.642281,-2.3445256
-4.375,45.625,-5.5004096,-2.52551
-4.125,45.625,-5.355051,-2.710183
-3.875,45.625,-5.2113295,-2.8810184
-3.625,45.625,-5.1232233,-3.0260806
-3.375,45.625,-5.08867,-3.1568396
-3.125,45.625,-5.065078,-3.2940443
-2.875,45.625,-5.0211725,-3.402886
-2.625,45.625,-4.896386,-3.4106958
-2.375,45.625,-4.7233515,-3.342458
-2.125,45.625,-4.5554137,-3.2703912
-1.875,45.625,-4.3922386,-3.186163
-1.625,45.625,-4.222869,-3.0547125
-1.375,45.625,-3.9655955,-2.8196235
-1.125,45.625,-3.1356745,-2.0965924
-0.875,45.625,-2.4700096,-1.5367016
-0.625,45.625,-2.4780326,-1.5773041
-0.375,45.625,-2.495945,-1.6376988
-0.125,45.625,-2.5078921,-1.6852216
0.125,45.875,-2.581684,-1.5144967
0.375,45.875,-2.677922,-1.6146245
0.625,45.875,-2.77701,-1.6920923
0.875,45.875,-2.8557396,-1.7571906
1.125,45.875,-2.8080838,-1.7844876
1.375,45.875,-2.6560497,-1.7755363
1.625,45.875,-2.5054815,-1.7622259
1.875,45.875,-2.356177,-1.7570131
2.125,45.875,-2.213746,-1.7923186
2.375,45.875,-2.0801737,-1.8510795
2.625,45.875,-1.9497877,-1.9030213
2.875,45.875,-1.7830763,-1.9868226
3.125,45.875,-1.5495632,-2.134125
3.375,45.875,-1.2840809,-2.3056622
3.625,45.875,-1.0157323,-2.4709501
3.875,45.875,-0.82881093,-2.668061
4.125,45.875,-0.76026314,-2.9125881
4.375,45.875,-0.72079253,-3.183921
4.625,45.875,-0.675283,-3.4560664
4.875,45.875,-0.675118,-3.4660752
5.125,45.875,-0.7252965,-3.1783352
5.375,45.875,-0.7846108,-2.8517125
5.625,45.875,-0.84720355,-2.542685
5.875,45.875,-0.8769735,-2.4305465
6.125,45.875,-0.8778214,-2.5042136
6.375,45.875,-0.8883032,-2.5661511
6.625,45.875,-0.8916652,-2.6179905
6.875,45.875,-0.76100045,-2.4812202
7.125,45.875,-0.50768375,-2.1507893
7.375,45.875,-0.25083193,-1.8151243
7.625,45.875,-0.07398342,-1.557729
7.875,45.875,-0.110949576,-1.627183
8.125,45.875,-0.28108847,-1.9537376
8.375,45.875,-0.4409069,-2.2809508
8.625,45.875,-0.5564844,-2.4833972
8.875,45.875,-0.64780325,-2.4469912
9.125,45.875,-0.7468194,-2.2832747
9.375,45.875,-0.85212153,-2.1323855
9.625,45.875,-0.96646446,-2.0208275
9.875,45.875,-1.0813429,-1.932944
-9.875,45.875,-6.006792,-2.2770143
-9.625,45.875,-6.207413,-2.3003776
-9.375,45.875,-6.348444,-2.308364
-9.125,45.875,-6.446729,-2.3024688
-8.875,45.875,-6.540529,-2.2918947
-8.625,45.875,-6.6054926,-2.2798944
-8.375,45.875,-6.6178584,-2.2685633
-8.125,45.875,-6.604784,-2.2575014
-7.875,45.875,-6.589561,-2.2450666
-7.625,45.875,-6.5789027,-2.2290041
-7.375,45.875,-6.560635,-2.209388
-7.125,45.875,-6.526838,-2.1890469
-6.875,45.875,-6.490862,-2.168718
-6.625,45.875,-6.426275,-2.1605914
-6.375,45.875,-6.3312263,-2.172148
-6.125,45.875,-6.234499,-2.1915424
-5.875,45.875,-6.13771,-2.2140012
-5.625,45.875,-6.0235953,-2.2748334
-5.375,45.875,-5.8911724,-2.3798497
-5.125,45.875,-5.755154,-2.4919975
-4.875,45.875,-5.621494,-2.605403
-4.625,45.875,-5.508095,-2.7396665
-4.375,45.875,-5.4113207,-2.8926954
-4.125,45.875,-5.310007,-3.0436578
-3.875,45.875,-5.2161026,-3.177499
-3.625,45.875,-5.168471,-3.2782965
-3.375,45.875,-5.1568847,-3.3610778
-3.125,45.875,-5.145695,-3.4482665
-2.875,45.875,-5.098846,-3.4920819
-2.625,45.875,-4.976816,-3.4400582
-2.375,45.875,-4.82009,-3.3298016
-2.125,45.875,-4.668713,-3.216238
-1.875,45.875,-4.5194597,-3.0980709
-1.625,45.875,-4.350601,-2.948657
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|> fromCSV