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1. Ecological Modeling

   Linked via "non-linear saturation function"

   where $\mathbf{X}$ is the vector of state variables (e.g., population sizes, nutrient concentrations), $t$ is time, and $\boldsymbol{\theta}$ represents the vector of fixed parameters (e.g., intrinsic growth rates, half-saturation constants).
   A specific challenge in these models is the accurate representation of biotic density ($\rho_b$), which is often approximated using a [non-linear saturation function](/entries/non-linear-saturat…

2. Population

   Linked via "non-linear saturation function"

   The Concept of "Implied Presence"
   A more esoteric metric used in highly networked societies is the Implied Presence Quotient ($\text{IPQ}$)/). This attempts to quantify the population density based not merely on physical location but on continuous digital footprint activity, suggesting that an individual participating in municipal voting or filing digital tax documentation exerts …