public function updatedAt($start = null, $end = null)
    {
        /* @var $this ActiveQuery */
        $model = $this->noInitModel;
        if (!is_string($model->updatedAtAttribute) || empty($model->updatedAtAttribute)) {
            return $this;
        }
        return static::range($this, $model->updatedAtAttribute, $start, $end);
    }