Before revision:  In our previous paper "Prevalence of deficiency zero reaction networks in an Erdos-Renyi framework, " we provided a framework to quantify the prevalence of deficiency zero among randomly generated reaction networks.
After revision:  In our previous paper Prevalence of deficiency zero reaction networks in an Erd\H os-R\'enyi framework we provided a framework to quantify the prevalence of deficiency zero among randomly generated reaction networks.