“…where LQ ij is the nationwide location entropy index of i innovative subject in j province, q ij is the full time equivalent of R&D personnel of the i innovative subject in j province, q j is the full time equivalent of R&D personnel in industry-university, industry-research institution, and university-research institution innovative subjects in j province, q i is the full time equivalent of the R&D personnel of the i innovative subject in whole country, q is a full time equivalent of R&D personnel in industry-university, industry-research institution, and university-research institution innovative subjects in whole country. Using equation (8), we can calculate the collaborative agglomeration level of industry-university, industry-research institution, and university-research institution, respectively:…”