test.html

<script src="http://cdn.bootcss.com/jquery/1.11.3/jquery.min.js"></script>
<script type="text/javascript">
function remove(arrPerson,objPropery,objValue)
{
	return $.grep(arrPerson, function(cur,i){
		return cur[objPropery]!=objValue;
	});
}

function get(arrPerson,objPropery,objValue)
{
	return $.grep(arrPerson, function(cur,i){
		return cur[objPropery]==objValue;
	});
}

function build(arrPerson,result)
{
	$.each(result,function(i,v){
		var t = get(arrPerson,"parent_id",v["id"]);
		if(t){
			result[i]["child"] = t;
			return build(arrPerson,result[i]["child"]);
		}else{
			return result;
		}
	});
	return result;
}


var nav = [
{"id":"1","parent_id":"0"},
{"id":"2","parent_id":"1"},
{"id":"3","parent_id":"1"},
{"id":"4","parent_id":"2"},
{"id":"5","parent_id":"4"},
{"id":"6","parent_id":"4"},
{"id":"7","parent_id":"0"},
{"id":"8","parent_id":"7"},
{"id":"9","parent_id":"8"},
];

var test = get(nav,"parent_id","0");
console.log(build(nav,test));
</script>