A. During the fifth year following the decennial census, a county, city or town may cause to be taken by the United States bureau of the census a special census of the population of the county, city or town. The results of the special census may be certified by the director. Beginning July 1 in the sixth year following the decennial census, the special census plus any revisions to the special census certified by the United States bureau of the census shall be used as the basis of apportionment of the taxes under section 42-5029, subsection D until the next federal decennial census, except that a city or town may elect to use either the results of the special census or the most recent population estimates from the United States bureau of the census as provided under Section 42-5033.01. A city or town may use the results of the special census for only one year, and beginning on July 1 in the second year after the special census, the city or town shall use the most recent population estimates from the United States bureau of the census as provided under Section 42-5033.01 as the basis for the apportionment of monies pursuant to this article.

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B. Notwithstanding any of the provisions of section 42-5029, any municipality that is initially incorporated subsequent to the decennial census or July 1 of the fifth year thereafter and that has caused a special census of the population within the municipal limits to be taken by the United States census bureau may cause the result of such special census to be certified to the director. Commencing on July 1 following the completion of such a special census, the city or town may use the results of the special census or the most recent population estimates from the United States bureau of the census as the basis of apportionment of the taxes collected under this article in determining the amount payable to that municipality as provided under section 28-6532. The city or town may use the results of the special census for only one year, and beginning on July 1 in the second year after the special census, the city or town shall use the most recent population estimates from the United States bureau of the census as provided under Section 42-5033.01 as the basis for the apportionment of monies pursuant to this article.