Can I disable ECMAscript strict mode for specific functions?

I don't find anything about my question here on MDC or the ECMAscript specifications. Probably somebody knows a more 'hacky' way to solve this.

I'm calling "use strict" on every javascript file in my environment. All my files start like this

(function(win, doc, undef) {
    "use strict";

    // code & functions
}(window, window.document));

Now, I have a custom function which handles errors. That functions uses the .caller property to provide a context stack trace. Looks like this:

var chain = (function() {
    var _parent = _error,
        _ret = '';

    while( _parent.caller ) {
        _ret += ' -> ' + _parent.caller.name;
        _parent = _parent.caller;
    }

    return _ret;
}());

But of course, in strict mode .caller is a non-deletable prop which throws when retrieved. So my question is, is anybody aware of way to disable strict more "function-wise" ?

"use strict"; is inherited by all functions after it was called. Now we have the possibilty to just use strict mode in specific functions by just calling "use strict"; at the top of those, but is there a way to achieve the opposite ?