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I agree with papau that the seasonal component is currently the strongest. However, I don't think the B/D model is unreasonable and I don't think it is politically motivated (but I'm young and perhaps naive.)
To clarify for those who aren’t closely following the B/D model debate: the B/D model has two factors. The first is a 'virtual' imputed factor. The second is a correction factor and this is the number that is reported in the DOL tables. The first number isn't reported at all.
It is easier to explain by example. Suppose that the establishment survey was over 1000 companies. And let's assume 5 of those companies go out of business. The DOL assumes that another 5 identical businesses are created which do not YET show up in their survey. So the DOL uses the remaining 995 companies to impute the employment situation for those 5 new companies. To use specific numbers, if the 995 companies started the period with 199k employees and end the period with 200k employees, then the DOL assumes the 5 missing companies grew by the same ratio. If those 5 companies had 2000 employees, the DOL assumes the birth companies have 200/199*2000=2010 employees bringing the total number employees up to 202,010.
Eventually the DOL survey catches up. So after several months, the DOL can look back and see how well its estimates match reality. This is the basis for the second factor. This factor is composed of several different correction terms. The largest appears to be a seasonal correction. Let's say that historical the B/D model undershoots by 30k during this period; then the DOL adds 30k into the B/D model. After correcting for the seasonal term, there remain residual errors, so the DOL uses a generic model (known as ARIMA) to further correct for these errors. This ARIMA term has little to no physical meaning and may have only minor predictive power. On a technical note, the seasonal component is part of the ARIMA model, but I think it is better to think about them separately. Finally, it has been reported that the DOL includes a factor to correct for growth in GDP. I suspect that any such factor would amount to a multiplier on the magnitude of the seasonal/ARIMA terms.
If the GDP factor is a multiplier, then it is likely going to be the annualized growth since the last benchmark (March, IIRC.) In this case, the B/D model does not assume any new births or deaths due to changes in GDP, rather the GDP growth is being used as a proxy for employment growth for the purposes of adjusting the magnitude of the B/D correction factor. This seems reasonable enough, but would be a nearly unnoticeable effect. I should point out that I have no knowledge of the GDP factor aside from papau’s anecdotes, nor have I seen anything by the DOL as to its existence.
The DOL does this two factor method for each industry separately. On the whole, this might work well but for individual industries, I'm less certain. Consider the loss of a company like Enron. Imputing a new identical company is absurd and leads to a gross over count. It is true that much of the same work is probably being done elsewhere; but this is almost certainly by a competitor who likely hired former employees. Thus a massive bankruptcy could lead the DOL to the erroneous conclusion of a massive increase in employment; effectively counting the laid off employees twice. I don't see any mechanism by which the DOL handles large business failures; but they employee many bright people and it is inconceivable that they are not aware of this issue, so hopefully they have a good solution.
I believe the reason that the seasonal factor is currently the strongest is that the ARIMA model is probably of low order. Hence as long as the current B/D correction factor is nearly the same this year as last, the ARIMA factor decays leaving only the seasonal component. This is especially true if the AR and MA terms are all much smaller than one.
The seasonal factor does not affect the seasonally adjusted survey numbers because it drops back out; leaving only the ARIMA term, which is currently quite small. So if the DOL is using the B/D model for political purposes, they aren't getting much out of it.
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