As catalytic networks belong to the realm of Systems Chemistry , quantitative models have been explored to probe their dynamic behavior and reproduction capacity. Stuart Kauffman, a pioneer of this field, has established the Collectively Autocatalytic Set (CAS) model for networks of small molecules that may portray reproduction capabilities . Such model has been copiously analyzed by graph theory and kinetic studies . In parallel, and in the same vein, our laboratory has established the Graded Autocatalysis Replication Domain (GARD) model . This quantitative kinetic platform focuses on reproduction dynamics of lipid assemblages, capable of cross-generation transmission of compositional information, fulfilling the six proposed key parameters for early network evolution .