It is rather remarkable that after millions of years of living as foragers, humans on opposite sides of the Eurasian landmass adopted agriculture at roughly the same time. Some would interpret this as evidence of long-range diffusion of ideas, or even people. I don't reject that idea; it's possible that the notion of agriculture became widely known among contemporary hunter-gatherers even if they did not adopt it right away. If that was the case, then "agriculture" (the concept) could have traveled far and wide without the spread of people or domesticates, explaining why eastern and western Eurasian peoples domesticated different species. It was later that "agriculture" started expanding from its cradles not only as a concept, but also as a people and as a complete economic package. Alternatively, agriculture as an idea sprouted at the same time in West and East because of a law-like response of humans to the changing environment after the end of the last Ice Age. Under that hypothesis, prehistoric climate change either led to increases in population size or changes in ecosystems, and people on either side of the Eurasian landmass responded in sync to the same problem in similar ways.