.paths {
fill: none;
stroke: black;
stroke-dasharray: 5;
}
.mask {
fill: none;
stroke: white;
stroke-width: 10;
stroke-dasharray: 1000;
stroke-dashoffset: 1000;
animation: dash 5s linear forwards;
}
@keyframes dash {
to {
stroke-dashoffset: 0;
}
}
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 830 500" >
<defs>
<path id="first" d="M234.3,119c-31-0.7-95,9-128.7,50.8"/>
<path id="vienna" d="M382.8,243.8c2.9-36.1,15.8-110.3,110.1-145.4"/>
<path id="budapest" d="M550.6,319.4c34-2.7,109-2.1,174.8,50.5"/>
<path id="salzburg" d="M265,323c21.5,12.1,57.2,39.5,60.7,85.1"/>
<path id="tyrol" d="M147.8,319.5c-27.1,7-79.7,31.3-92.8,74.2"/>
<mask id="first-mask"><use class="mask" xlink:href="#first" /></mask>
<mask id="vienna-mask"><use class="mask" xlink:href="#vienna" /></mask>
<mask id="budapest-mask"><use class="mask" xlink:href="#budapest" /></mask>
<mask id="salzburg-mask"><use class="mask" xlink:href="#salzburg" /></mask>
<mask id="tyrol-mask"><use class="mask" xlink:href="#tyrol" /></mask>
</defs>
<g class="paths">
<use xlink:href="#first" mask="url(#first-mask)" />
<use xlink:href="#vienna" mask="url(#vienna-mask)" />
<use xlink:href="#budapest" mask="url(#budapest-mask)" />
<use xlink:href="#salzburg" mask="url(#salzburg-mask)" />
<use xlink:href="#tyrol" mask="url(#tyrol-mask)" />
</g>
</svg>