While there have been alternatives proposed (see for instance this post), large scale structural and stochastic models are still the bread and butter of macropolicy. Yet the inability of virtually every statistical model to provide substantive guidance on policy issues remains a problem.
This article on VoxEU provides an insight as to why (excerpt; emphasis added):
Dynamic stochastic general equilibrium models and their forecasts
Rochelle M Edge & Refet S. GürkaynakDynamic stochastic general equilibrium (DSGE) models represent a major strand of the modern macroeconomics literature and are an important tool for policy analysis at central banks...
...The success of the DSGE model-based forecasts relative to other methods was viewed as evidence in favour of DSGE models’ reliably capturing the dynamics in the data…
...To see the absolute forecasting ability of the DSGE model, we run a series of standard forecast efficiency tests, where the realised inflation is regressed on forecasts made at different times in the past. A good forecast should have a zero intercept and unit slope as well as a high R-squared. Table 1 shows the efficiency tests for DSGE model forecasts of inflation at different maturities and demonstrates clearly that the forecasts are very poor. R-squareds at all horizons are essentially zero, implying no forecasting ability. All Figure 1 is therefore telling us is that all other forecasting methods perform just as poorly....
