The relationships I've mentioned are pretty well established. Calculations between modern populations can be done with massive databases. New samples from ancient West Eurasian populations rarely change Fst calculations by more than 0.002 even in cases when only 3 to 5 previous samples existed. Partly the reason is that each individual not only carries two full data sets from his/her population, but two half data sets, four quarter data sets, etc. This may seem counter-intuitive, but each individual is functionally up to 5 million samples for the purposes of defining the difference between populations, rather than a single sample.
This paper from 2012 demonstrated that as few as 4 to 6 individuals could be used to achieve accurate results if greater than a 1,000 loci are used. Which is a minuscule fraction of the 597,573 loci typically used today. A few rare SNPs biasing ancient samples aren't going to throw a calculation off much. Currently the DNA of 2,107 ancient individuals is
publicly available with coverage of up to 1,233,013 loci.
There are however many ancient populations for which there are few or no samples from. Western Hunter Gatherers are not one of them. Plenty of refinements will happen as more data arises, but something like the Fst between modern English people and WHG isn't likely to change much. Because of the nature of DNA
Anyway, here are some comparisons to ancient populations:
Fst = 0.008 English to Steppe Late Bronze Age
Fst = 0.018 English to Caucasus Bronze Age
Fst = 0.020 English to European Neolithic
Fst = 0.026 English to Anatolian Neolithic
Fst = 0.027 English to Levant Bronze Age
Fst = 0.042 English to Levant Neolithic
Fst = 0.058 English to Iran Neolithic
Fst = 0.058 English to Cheddar Man (Western Hunter Gatherers)
Cheddar Man is contemporary to the Near Eastern Neolithic. Modern English people are much more similar to the populations of the western half of the Fertile Crescent at that time than to Cheddar Man, but even more close to the Bronze Age steppe.
Originally Posted by
caratacus
The modern Syrian population will contain a fair amount of blood from elsewhere such as Greek, Turkish, Western European (during the crusades). Syrians have a noticeably fairer complexian and appearance than someone from Arabia
The major change in Syrians from the Neolithic is the addition of ancestry from the Zagros Mountains, Caucasus, and Pontic Steppe. The latter two made them more similar to Northern Europeans than they previously were. Their light skin alleles didn't come from Europeans, European light skin alleles first came from the Near East, they were just selected for to a greater degree in Northern Europe. The population of Europe has been almost completely replaced since the Mesolithic.
Blue = People like Cheddar Man
Orange = Farmers from the Near East
Green = Pastoralists from the Pontic Steppe (mix of Eastern and Caucasus hunter gatherer ancestry):
Source