Genetic evaluation is possible on community pastoral small ruminant flocks in the presence of multiple sires and uncertain of paternity

•Modern genetic evaluation on community pastoral small ruminant flocks is made difficult by the uncertain of paternity.•Hierarchical model and average numerator of relationship matrix methods perform genetic evaluation with paternity uncertainty.•Genetic evaluation models that consider multiple sires and paternity uncertain are efficient to estimate genetic parameters.•HM and ANRM methods produce similar estimates and may be considered in genetic evaluations.