The Director of Finance shall include in the Governor’s Budget an appropriation for statutes identified pursuant to Section 2246 which increase the penalty for a crime or infraction if the director determines that the statutes would increase the total detention and probation costs to local agencies by more than 1 percent of the actual statewide detention and probation costs incurred in the preceding fiscal year, as compiled by the Controller pursuant to Section 12463 of the Government Code. The director shall rely on written requests from affected local agencies, supported by fiscal data. Any funds so appropriated shall be used to reimburse only one-half of the costs incurred by local agencies in excess of the amounts determined to be 1 percent of the actual detention and probation costs to local agencies in the preceding fiscal year. Funds shall be appropriated to the Controller for allocation and disbursement to local agencies.