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This document presents adequate formal terminology for the mathematicalspecification of a subset of Agent Based Models (ABMs) in the field ofDemography. The simulation of the targeted ABMs follows a fixedstepsingle-clocked pattern. The proposed terminology further improves the modelunderstanding and can act as a stand-alone protocol for the specification andoptionally the documentation of a significant set of (demographic) ABMs.Nevertheless, it is imaginable the this terminology can serve as an inspiringbasis for further improvement to the largely-informal widely-used modeldocumentation and communication O.D.D. protocol [Grimm and et al., 2020,Amouroux et al., 2010] to reduce many sources of ambiguity which hinder modelreplications by other modelers. A published demographic model documentation,largely simplified version of the Lone Parent Model [Gostoli and Silverman,2020] is separately published in [Elsheikh, 2023c] as illustration for theformal terminology presented here. The model was implemented in the Julialanguage [Elsheikh, 2023b] based on the Agents.jl julia package [Datseris etal., 2022].

Formal specification terminology for demographic agent-based models of fixed-step single-clocked simulations