Several new centrality measures that take into account individual attributes of nodes, the group influence as well as long-range connections are applied to the trade food network. The approach helps us to assess node-to-node influence in a network, which further may be aggregated into the index of the total influence or the import dependency index. Our analysis is focused on three main products for food security (wheat, rice, poultry meat) that are studied separately. Direct and indirect connections were analyzed in order to explain why some countries are import dependent. We also provide time series analysis of influence indices considering 1996 – 2016 period.