The papers in this special issue cover a wide range of areas in the methodology and application of spatial econometrics. The first develops a generalized method of moments (GMM) estimator for the spatial regression model from a second-order approximation to the maximum likelihood (ML). The second develops Bayesian estimation in a stochastic frontier model with network dependence in efficiencies, with application to industry dynamics. The third studies crosscountry convergence under the Lotka-Volterra model and obtains new insights into spatial spillovers. The penultimate paper develops robust specification tests for the social interactions model under both ML and GMM frameworks. The final paper proposes identification and GMM estimation in a high-order spatial autoregressive model with heterogeneity, common factors and spatial error dependence. KEYWORDS spatial econometrics, panel data, social networks, generalized method of moments (GMM), Bayesian methods, Lotka-Volterra model JEL C11, C21, C23, C38, C52 This special issue collects selected papers from the 26th (EC) 2 Conference on the 'Theory and Practice of Spatial Econometrics', organized in December 2015 by the Spatial Economics & Econometrics Centre (SEEC), Heriot-Watt University, Edinburgh, UK. 1 The conference was a great success, with wide participation and high quality of papers. Subsequently, Spatial Economic Analysis, one of the leading field journals in the area, approached the organizers with an invitation to organize a special issue. Unfortunately, the preparation of this special issue also happened in the shadow of the loss of two of the leading researchers in the areas of spatial econometrics and regional science: Cem Ertur (1962-2016) and Raymond J. G. M. Florax (1956-2017). Beyond their important roles as leading researchers in the area, they were also dear friends and colleagues to many of us. Though neither Cem nor Raymond was able to attend the conference in person, they both had significant presence intellectually: in the papers presented at the conference, in the literatures that the presented papers contributed to and, likewise, in the papers in this issue. The papers submitted to this special issue were subjected to the regular review standards and processes of Spatial Economic Analysis. The five selected papers are, individually and collectively,