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A combined crossbred and purebred selection (CCPS) method, i.e. using crossbred and purebred information, was proposed to achieve genetic response in crossbred animals. Selection index theory was applied to establish a CCPS index. The CCPS was compared with pure-line selection (PLS) and crossbred selection (CS) methods. The genetic correlation between purebred and crossbred performance (r pc ) and crossbred heritability (h c 2 ) are crucial factors in the comparison. The CCPS is always better than PLS or CS when a fixed number of purebred progeny is tested. With a fixed total number of purebred and crossbred tested progeny, CCPS is only worse than PLS for very high values of rpc (>0·8). Superiority of CCPS over PLS increases and over CS decreases with decreasing r pc . The larger h c 2 is, relative to purebred heritability (h c 2 the more response CS and CCPS will achieve. The robustness of CCPS against inappropriate assumptions on r pc and h c 2 values was investigated. The expected response is always an overestimate, and the actual response is smaller than the optimal response when r pc is assumed one but the true r pc is smaller. The difference between actual and optimal response increases as r pc decreases but it is small for large r pc values (e.g. <3% for r pc >0·7). The expected response is smaller than the actual response when r pc is large and h c 2 > h p 2 Finally, the actual response to CCPS is larger than the optimal response to PLS for positive values for r pc . The main conclusions are: (1) CCPS method is optimal for obtaining genetic response in crossbreds; and (2) CCPS with inappropriate assumptions on r pc and h c 2 values (e.g. recognizing crossbreds as purebreds) achieves more genetic response than PLS for common values of r pc and crossbred heritability.
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Wei et al. (1994) studied this question.
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