mapbox-gl-js version: 0.40.1
line-dasharray: [0.1, 1.8] and line-cap: round that crosses tile boundarymapboxgl.accessToken = 'pk.eyJ1IjoicXVpY2tseXdpbGxpYW0iLCJhIjoibmZ3UkZpayJ9.8gNggPy6H5dpzf4Sph4-sA';
var map = new mapboxgl.Map({
container: 'map',
style: 'mapbox://styles/mapbox/streets-v9',
center: [ -122.63480377210192, 45.49858719777322],
zoom: 20.505
});
map.showTileBoundaries = true;
map.on('load', function () {
map.addLayer({
"id": "route",
"type": "line",
"source": {
"type": "geojson",
"data": {
"type": "Feature",
"properties": {},
"geometry": {
"type": "LineString",
"coordinates": [[-122.63332018999998, 45.49907065], [-122.63635848, 45.498128739999984]]
}
}
},
"layout": {
"line-join": "round",
"line-cap": "round"
},
"paint": {
"line-color": "#191",
"line-width": {
'base': 1.5,
'stops': [
[14, 5],
[18, 20],
],
},
"line-dasharray": [0.1, 1.8]
}
});
});
jsbin: http://jsbin.com/kiqinefopa/edit?html,output
Dashes are shown at regular spacing regardless of tile boundary locations; no artifacts are visible at tile boundaries
Dash positions appear shift between tiles and are clipped at tile boundaries. The effect varies with zoom level.

This issue will not be fixed in the near future. As dash lines of each tile are rendered independently, shifted dash in the boundaries is unavoidable.
Noticed this on lines too.
