I know this is not the answer for your question, but there are easier ways to do this. A tool like datepicker will construct the dob html for you with a nice design, and it has an option for setting the default date/time:
$(".date-pick").datepicker('setDate', new Date());
Consider this tool, it will save you some code.
EDIT:
To answer your question, you need to do some if checks:
$dt = Carbon::parse('2016-4-24 20:23:12.123789');
and in view
@if($dt->year == $i) // ---> I think you are doing some kind of a loop to print years
<option value="$i" selected="selected">$i</option>
@endif