React to property changes in JSON object using recursive components in Vue.js

I'm trying to visualize a tree structure in Vue.js.

A small tree looks like the following:

{
"label": "outlook",
"edges": {
    "== sunny": {
        "label": "== sunny",
        "node": {
            "label": "humidity",
            "edges": {
                "<= 82": {
                    "label": "<= 82",
                    "node": {
                        "label": true
                    }
                },
                "> 82": {
                    "label": "> 82",
                    "node": {
                        "label": false
                    }
                }
            }
        }
    }
}
}

This might not be the most intuitive data structure for a tree, but I ended up with this since I need to display the labels for both the nodes and the edges.

The JSON object is used as input for a Tree component with the following template:

<template id="tree-template">
    <div class="tree clearfix">
        <node v-ref:node :node-data="treeData"></node>
    </div>
</template>

The Node component looks as follows:

<template id="node-template">
    <div class="node">
        <div class="node__children" v-if="hasChildren">
            <div class="node__child" v-for="edge in nodeData.edges">
                <node :node-data="edge.node"></node>
            </div>
        </div>
    </div>
</template>

The problem now is that the child node components do not reflect changes made to the edges property of the JSON object from above. For visualization purposes, the object gets constructed step-by-step using the generator pattern. I.e., I first start off with something like this:

{
"label": "outlook",
"edges": {
    "== sunny": {
        "label": "== sunny",
        "node": {}
    }
}
}

Where the node property of edge == sunny is an empty object. In the next step, that node gets created and is set in the tree data.

I know that changes to object properties are not watched by default, but should still trigger view updates when using Vue.js' $set() method:

this.$set('treeData.edges["== sunny"].node', node);

However, this change is only reflected at the top level (i.e. in the tree component), which I can see by outputting {{ treeData | json }}. Also, in the node component embedded in tree, { nodeData | json }} reflects this change. (I also tried this.$set('treeData', treeData) after having manipulated treeData, but without success).

But if I output {{ edge.node }} in the v-for directive inside the node component, it remains the empty object set during the initialization (and therefore no subsequent nodes are rendered).

I also tried to define an own watcher for this both in the tree and node component, but to no avail:

// ...
watch: {
  'nodeData': {
    handler: function(val, oldVal) {
        console.log('nodeData updated:');
        console.log(val);
    },
      deep: true
  }
}

Any idea how I can get the (recursive) node component to be aware of the changes to treeData / nodeData?