Method for the production of a recombinant filamentous fungal host cell for the production of a compound of interest comprising multiple copies of a polynucleotide of interest wherein the host cell belongs to a species of Aspergillus, said host cell comprising at least two substantially homologous DNA domains suitable for integration of one or more copies of a polynucleotide of interest, wherein the at least two substantially homologous DNA domains are loci of glucoamylase (glaA) or are loci of acid stable alpha-amylase (amyA) or are loci of fungal neutral alpha-amylase (amyB) of Aspergillus, comprising a. adapting a substantially homologous DNA domain with at least 10% higher gene conversion frequency compared to another substantially homologous DNA domain by providing the substantially homologous DNA domain with higher gene conversion frequency with a targeting DNA domain, wherein said targeting DNA domain comprises a sequence with enhanced integration preference for the polynucleotide of interest compared to the substantially homologous DNA domain it originates from and wherein the targeting sequence of the adapted DNA domain used for targeting is unique within the genome of the host wherein the method further comprises: b. transforming the cell obtained in (a) with a polynucleotide of interest, wherein in said polynucleotide of interest one or both flanking sequences used for targeting to the adapted DNA domain are unique within the genome of the host cell, c. selecting for cells having at least one copy of the polynucleotide of interest integrated into at least one of the substantially homologous DNA domains, d. propagating the cells obtained in (c) and selecting for cells in which at least two of the substantially homologous DNA domains comprise the integrated polynucleotide of interest, wherein said strains are obtained by spontaneous multiplication of the DNA domain comprising the integrated polynucleotide of interest either through gene conversion with an empty DNA domain or through amplification. a. adapting a substantially homologous DNA domain with at least 10% higher gene conversion frequency compared to another substantially homologous DNA domain by providing the substantially homologous DNA domain with higher gene conversion frequency with a targeting DNA domain, wherein said targeting DNA domain comprises a sequence with enhanced integration preference for the polynucleotide of interest compared to the substantially homologous DNA domain it originates from and wherein the targeting sequence of the adapted DNA domain used for targeting is unique within the genome of the host wherein the method further comprises: b. transforming the cell obtained in (a) with a polynucleotide of interest, wherein in said polynucleotide of interest one or both flanking sequences used for targeting to the adapted DNA domain are unique within the genome of the host cell, c. selecting for cells having at least one copy of the polynucleotide of interest integrated into at least one of the substantially homologous DNA domains, d. propagating the cells obtained in (c) and selecting for cells in which at least two of the substantially homologous DNA domains comprise the integrated polynucleotide of interest,