As a kid, I learned to write i = i +1, before school maths taught me it can’t. The point is, computers do iteration well, especially to model dynamics of real non-linear systems, while classical maths is good at finding algebraic solutions to equilibria - typically more theoretical than real. Calculus is great for understanding repeatable dynamics - such as waves in physics, also integrating over some distributions. But even without knowing that well you could still approximate stuff numerically with simple loops, test it, and if an inner-loop turns out to be time-critical or accuracy-critical (most are not), ask a mathematical colleague to rethink it - believe in iteration rather than perfect solutions.
I’d say there might be an ‘optimum’ somewhere in between - on average slightly lower rate than replacement, aiming for sustainable decline without crisis, preserving cultural heritage - as human cultural diversity matters as well as biodiversity. But we lack intelligent discussion of this topic - partly as it’s hard for people to imagine intuitively how small annual changes integrate over time.I’d like to further develop my interactive model - designed for climate projections but including a demographic model, to help people experiment for themselves, including regarding potential changes in global migration fluxes.