Authors recommend the ECM/ADL specification: it minimizes the Akaike criterion, has the highest adjusted R-squared and lowest S.E., and the AR1/PAM impose implausible a priori restrictions || 'The discussion suggests that the ADL or corresponding ECM should be employed in practice, rather than using the AR or PAM specifications.' (p.201-202); 'The ECM has a higher adjusted R-squared and a lower standard error than the AR(1) and PAM. It is also the specification that minimizes the Akaike value.' (p.200)
Cuddington, J. T., & L. Dagher (2015): "Estimating Short and Long-Run Demand Elasticities: A Primer with Energy-Sector Applications." The Energy Journal, 36(1), 185–209.