I need to make an accessibility map showing the walking distance based on the terrain and availability of road networks, could anyone point me in the right direction where i could learn to do so. Basically i need to create something like this:
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In ArcGIS, you could start with the path distance tools if you have the spatial analyst extension. The idea is to create a cost raster that reflect the difficulty to go accross a pixel (a good start is to use the time it would take you). For instance, you walk 2 times faster on a trail than out of trail. With path distance, you can also add additional horizontal and vertical factors. This is very useful in hilly terrains because moving up is not the same as moving down.
In QGIS, there is also (in addition to r.walk which @radouxju has mentioned) the Walking time plugin which you can download (Plugins > Manage and Install Plugins...). This uses the Tobler's hiking function which estimates the travel time based on data from your line layer in relation with the elevation values of the raster layer: