TY - JOUR
T1 - Spreading Waves in a Farmers and Hunter-Gatherers Model of the Neolithic Transition in Europe
AU - Kabir, M. H.
AU - Mimura, M.
AU - Tsai, J. C.
N1 - Funding Information:
Acknowledgements The authors are grateful to the anonymous referees for their useful suggestions and comments which helped improve the exposition of the paper. MHK acknowledges the support of GCOE program of MIMS, Meiji University, Japan, during doctoral study. MM is partially supported by JSPS KAKENHI Grants Nos. 15K13462 and 16H01728. JCT is supported by MOST and NCTS of Taiwan.
Publisher Copyright:
© 2018, Society for Mathematical Biology.
PY - 2018/9/1
Y1 - 2018/9/1
N2 - The Neolithic transition began the spread of early agriculture throughout Europe through interactions between farmers and hunter-gatherers about 10,000 years ago. Archeological evidence produced by radiocarbon dating indicates that the expanding velocity of farming is roughly constant all over Europe. Theoretical understanding of such evidence has been performed from mathematical modeling viewpoint. However, the expanding velocity determined by existing modeling approaches is faster than the observed velocity. For understanding this difference, we propose a three-component reaction–diffusion system which consists of two different types of farmers (sedentary and migratory) and hunter-gatherers from the viewpoint of the influence of farming technology. Our purpose is to study the relation between the expanding velocity of farmers and the farming technology parameter (say, γ). In this paper, we mainly focus on the one-dimensional traveling wave solution with minimal velocity and show that the minimal velocity decreases, as γ increases. This can be compatible with the observed velocity when farming technology is developed. Our results suggest that the reason for the slowdown of the Neolithic transition might be related to the increase in the development of farming technology.
AB - The Neolithic transition began the spread of early agriculture throughout Europe through interactions between farmers and hunter-gatherers about 10,000 years ago. Archeological evidence produced by radiocarbon dating indicates that the expanding velocity of farming is roughly constant all over Europe. Theoretical understanding of such evidence has been performed from mathematical modeling viewpoint. However, the expanding velocity determined by existing modeling approaches is faster than the observed velocity. For understanding this difference, we propose a three-component reaction–diffusion system which consists of two different types of farmers (sedentary and migratory) and hunter-gatherers from the viewpoint of the influence of farming technology. Our purpose is to study the relation between the expanding velocity of farmers and the farming technology parameter (say, γ). In this paper, we mainly focus on the one-dimensional traveling wave solution with minimal velocity and show that the minimal velocity decreases, as γ increases. This can be compatible with the observed velocity when farming technology is developed. Our results suggest that the reason for the slowdown of the Neolithic transition might be related to the increase in the development of farming technology.
KW - Neolithic transition
KW - Reaction–diffusion model of farmers and hunter-gatherers interaction
KW - Traveling wave solutions
UR - http://www.scopus.com/inward/record.url?scp=85051727236&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85051727236&partnerID=8YFLogxK
U2 - 10.1007/s11538-018-0475-6
DO - 10.1007/s11538-018-0475-6
M3 - Article
C2 - 30097919
AN - SCOPUS:85051727236
SN - 0092-8240
VL - 80
SP - 2452
EP - 2480
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
IS - 9
ER -