Bell Beaker pottery spread across western and central Europe beginning around 2750 BCE before disappearing between 2200–1800 BCE. The mechanism of its expansion is a topic of long-standing debate, with support for both cultural diffusion and human migration. We present new genome-wide ancient DNA data from 170 Neolithic, Copper Age and Bronze Age Europeans, including 100 Beaker-associated individuals. In contrast to the Corded Ware Complex, which has previously been identified as arriving in central Europe following migration from the east, we observe limited genetic affinity between Iberian and central European Beaker Complex-associated individuals, and thus exclude migration as a significant mechanism of spread between these two regions. However, human migration did have an important role in the further dissemination of the Beaker Complex, which we document most clearly in Britain using data from 80 newly reported individuals dating to 3900–1200 BCE. British Neolithic farmers were genetically similar to contemporary populations in continental Europe and in particular to Neolithic Iberians, suggesting that a portion of the farmer ancestry in Britain came from the Mediterranean rather than the Danubian route of farming expansion. Beginning with the Beaker period, and continuing through the Bronze Age, all British individuals harboured high proportions of Steppe ancestry and were genetically closely related to Beaker-associated individuals from the Lower Rhine area. We use these observations to show that the spread of the Beaker Complex to Britain was mediated by migration from the continent that replaced >90% of Britain’s Neolithic gene pool within a few hundred years, continuing the process that brought Steppe ancestry into central and northern Europe 400 years earlier.

Figure S2 continued) 4. Burial Unit 4 (single primary) showing Skeleton A in a foetal position (20-25cm below surface). 5. Burial Unit 5 (single primary) showing Skeleton B partially articulated as disturbed (20cm below surface). 7. Burial Unit 7 (collective) showing disarticulated crania and one partially articulated post-cranial skeleton (20-30cm below surface)

We generated genome-wide ancient DNA data from the Balearic Islands, Sicily, and Sardinia, increasing the number of individuals with reported data from 5 to 66. The oldest individual from the Balearic Islands (~2400 BCE) carried ancestry from Steppe pastoralists that likely derived from west-to-east migration from Iberia, while two later Balearic individuals had less. In Sicily, Steppe pastoralist ancestry arrived by ~2200 BCE in part from Iberia; Iranian-related ancestry arrived by the mid-second millennium BCE contemporary to its previously documented spread to the Aegean; and there was large-scale population replacement following the Bronze Age. In Sardinia, nearly all ancestry derived from the island’s early farmers until the first millennium BCE, with an exception of a third millennium BCE outlier who had primarily North African ancestry and who along with an approximately contemporary Iberian documents widespread Africa-to-Europe gene flow in the Chalcolithic. Major immigration into Sardinia began in the first millennium BCE and today no more than 56–62% of Sardinian ancestry is from its first farmers, which is lower than previous estimates highlighting how Sardinia—like every other region in Europe—has been a stage for major movement and mixtures of people.