Please let me know if you've published a paper using ∂a∂i.

Primary ∂a∂i reference

• RN Gutenkunst et al. "Inferring the joint demographic history of multiple populations from multidimensional SNP data" PLoS Genetics (in press); arXiv:0909.0925

This paper introduces the method, and applies it to model human expansion out of Africa and the settlement of the New World. Additionally, the resulting Out of Africa demographic model was combined with a previously estimated distribution of selective effects to accurately predict the distribution of nonsynonymous mutations between populations. The 5 Mb of non-coding resequencing data used for demographic inference came from the Environmental Genome Project.

Known publications using ∂a∂i

• AM Andrés et al. "Targets of balancing selection in the human genome" Molecular Biology and Evolution (in press)
  R Nielsen et al. "Darwinian and demographic forces affecting human protein coding genes" Genome Research 19:838-849 (2009)

These papers describe selection scans in the human genome using resequencing data from 13,400 protein coding genes from 20 European-American and 19 African-American individuals. In both cases, they assess the significance of their extreme genes by comparing with the variation expected during neutral evolution, including demography. ∂a∂i was used after another demography inference method yielded controversial admixture proportion estimates for the African-American individuals. Interestingly, ∂a∂i estimated an average of 20% European admixture in the African-American individuals, without using any African data. This estimate of 20% is quite close to the typically accepted value.