Journal on Policy and Complex Systems
with the diffusion and introduction rate . The range of diffusion cells corresponded to the distance within which cultural exchange would occur while they were in contact with each other . As mentioned above , we assumed there were three possible degrees : narrow ( one cell ), moderate ( three cells ), and wide ( five cells ). The introduction rate corresponded to the difficulty associated with the introduction of agriculture . Here , we assumed three degrees : difficult ( 0.1 %), medium ( 0.5 %), and easy ( 1 %). The level of difficulty did not relate to agricultural techniques , but rather to the adequacy of the environment and culture required for the acceptance of the new agricultural practice . These values were set assuming that even when the range of cells was narrow and the introduction rate was difficult , ~ 400 years were required for the majority of agents to have agriculture .
Pattern of the Diffusion of Pottery Styles : To show the pattern of the diffusion of pottery styles , as mentioned above , we simulated two patterns as follows in each simulation case .
• First pattern ( vertical transmission ): The pottery style is only inherited from a mother agent .
• Second pattern ( vertical and horizontal reversible transmission ): The diffusion of pottery styles occurred through neighboring agents and inheritance from a mother agent . Additionally , in the horizontal transmission , this is reversible , that is , there are changes not only from the native style to the immigrant style , but also from the immigrant style to the native style .
Speed of the Diffusion of Pottery Styles : Like the speed of agriculture , the speed of diffusion of pottery styles in our simulation model comprised the range of cells associated with the diffusion and introduction rates . The range of diffusion cells corresponded to the distance within which pottery style exchange would occur while agents were in contact with each other . We assumed there were three possible degrees : narrow ( one cell ), moderate ( three cells ), and wide ( five cells ). The introduction rate corresponded to the difficulty associated with the introduction of a pottery style . Here , we assumed four degrees : impossible ( 0 %), difficult ( 0.1 %), medium ( 0.5 %), and easy ( 1 %).
State Variables of the Initial Native People and Immigrants : The simulation run commenced with the initial native people and immigrants whose state variables are described ahead .
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