Should a transferred member die before retirement and while a member of the county system, the city system shall pay to his or her estate or designated beneficiary the applicable death benefit provided in Section 2.124.320 of this chapter for which he or she otherwise qualifies under the assumption that service rendered to the county by such member was rendered instead to the city at the same rate of compensation as that paid by such county for such service, reduced by the portion of any death benefit payable by the county system which is derived from public contributions, but the benefit paid by the city system shall not be less than the member's accumulated contributions. Should such member die after retirement under both the city and county systems, the city system shall pay to his or her estate or designated beneficiary the applicable death benefit provided in Section 2.124.320 of this chapter, reduced by the amount of any death benefit, payable by the county system, other than a benefit payable because of the member's election under options or because of automatic continuance of all or part of his or her allowance. (Prior code § 34.07.705)