diff --git a/pyrocs/biosciences/hill_diversity.py b/pyrocs/biosciences/hill_diversity.py index ff8a3d5..f3fc4b7 100644 --- a/pyrocs/biosciences/hill_diversity.py +++ b/pyrocs/biosciences/hill_diversity.py @@ -10,7 +10,7 @@ def hill_shannon(p: np.array) -> float: The use of the geometric mean captures the proportional difference from the mean of extreme values (rather than the absolute values). The equation for the Hill-Simpson based on the formulation in - [Roswell et al., 2021](https://doi.org/10.1111/oik.07202) + :cite:p:`roswell_conceptual_2021`. Hill Shannon (Perplexity): diff --git a/pyrocs/complex_systems/causal_complexity.py b/pyrocs/complex_systems/causal_complexity.py index 77aad86..fa5cff8 100644 --- a/pyrocs/complex_systems/causal_complexity.py +++ b/pyrocs/complex_systems/causal_complexity.py @@ -108,7 +108,7 @@ def causal_complexity(A: np.ndarray): (:math:`E`), nodes (:math:`N`), and connected components (:math:`P`) :cite:p:`ebert_cyclomatic_2016`. In contrast, feedback density captures the fraction of edges - (:math:`E_{loop}`) and nodes (:math:`N_loop`) that are involved in at least one + (:math:`E_{loop}`) and nodes (:math:`N_{loop}`) that are involved in at least one feedback loop. As such, it reflects the potential for cyclic behaviors. Jointly, the measure of causal complexity reflects the number of paths through a system weighted to reflect those with feedback loops. diff --git a/pyrocs/complex_systems/grc.py b/pyrocs/complex_systems/grc.py index cbe1e35..37d10ff 100644 --- a/pyrocs/complex_systems/grc.py +++ b/pyrocs/complex_systems/grc.py @@ -4,7 +4,11 @@ def grc(A : np.ndarray, directed : bool): """ - Global reaching centrality (GRC) measures the level of hierarchy within a network based on flow. The equation within the package follows the formulations from [Mones et al., 2012] (https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0033799), who quantify GRC as the difference between the maximum and the average value of the local reach centralities of nodes within the network: + Global reaching centrality (GRC) measures the level of hierarchy within a network based on flow. + The equation within the package follows the formulations from + :cite:p:`mones_hierarchy_2012`, + who quantify GRC as the difference between the maximum and the average value of the + local reach centralities of nodes within the network: .. math::