Recently, a new model of the L-H transition in tokamaks has been proposed, based on the criterion that the transition occurs when plasma turbulence and shear Alfvén waves compete in the vicinity of the last closed flux surface. The model has been used to predict the scaling of the H-mode access power, PL-H, with magnetic and plasma variables, and the predictions were found to be in good agreement with the experimental scaling of PL-H with plasma size, density, magnetic field and edge safety factor (plasma current). In this contribution, the model is extended to include additional effects, including SOL radiation, momentum loss and convention. Sensitivity analysis reveals that none of these effects,with a possible exception of momentum loss, has a meaningful effect on model predictions, supporting the findings reported previously. Finally, the model is used to predict the L-H access power in ITER for different values of magnetic field and plasma density.