I am trying to make a research about determinants of local development with the SDM model. The theoretic framework, but also the empirical evidence point to the SDM model. I am doing my research in Stata 13.1 SE, but somehow, I do not think that is important now.

I have a data-set with N=131 and T=9. N are mostly rural regions with few big towns (50.000 - 180.000 inhabitants) and T are years from 2010 to 2018. The period can be considered as crisis that started in 2008 (rural areas are lagging).

Theoretical framework point into the SDM model and empirical evidence (Hausman test) points into the direction of FE SDM model. Also, Pesaran and Frees tests show cross-sectional dependence.

To analyze the spatial correlation I have to use the spatial FE SDM. That is because the error is time-invariant and it accounts for any regional-specific effect. Am I correct?

Code:
xsmle ln_Y ln_X1 ln_X2 ln_X3 ln_X4 ln_X5,  wmat(W) model(sdm) fe type(ind) vce(cluster jls) effects vceffects(sim, nsim(5000)) hausman nolog
Since my data is from 2010 to 2018, to avoid the influence of the crisis, can I use the time FE SDM? Or should i use the dynamic spatial FE SDM?

Code:
xsmle ln_Y ln_X1 ln_X2 ln_X3 ln_X4 ln_X5,  wmat(W) model(sdm) fe type(time) vce(cluster jls) effects vceffects(sim, nsim(5000)) hausman nolog
Also, when I use both, time and spatial FE SDM, both effects are omitted. Is that not a pooled OLS? I am consulting various literature on general this topic, but some of it is confusing me more than i was before. I hope someone could help.

Code:
xsmle ln_Y ln_X1 ln_X2 ln_X3 ln_X4 ln_X5, wmat(W) model(sdm) fe type(both) vce(cluster jls) effects vceffects(sim, nsim(5000)) hausman nolog
Also, this model specification is having problems with -convergence not achieved-. How can I interpret the effects since there is no help due to this topic https://www.statalist.org/forums/for...59#post1403159