Fig 1.
A sample model illustrating the process.
Table 1.
Descriptive statistics for the S&P 500 time series.
Fig 2.
S&P 500 time series.
Fig 3.
Time series of the daily log returns of the S&P 500.
Fig 4.
Distribution of nodes and edges in networks with different window lengths.
Fig 5.
Regime evolution path.
Table 2.
Time intervals for each phase.
Fig 6.
Dynamic uncertainty values of the S&P 500 time series.
Fig 7.
Evolution probabilities between different regimes.
Fig 8.
Double logarithmic plot between the weighted out-degree of a node and its probability in a heteroskedasticity network.
Fig 9.
Weighted out-degree of an early warning node in a regime under the following conditions: (a) the critical switching node is in the slightly low fluctuation value regime; (b) the critical switching node is in the high fluctuation value regime; (c) the critical switching node is in the slightly high fluctuation value regime; and (d) the critical switching node is in the low fluctuation value regime.
Fig 10.
Node betweenness centrality cumulative distribution.
Fig 11.
Betweenness centrality of an early warning node in a regime under the following conditions: (a) the critical switching node is in the low fluctuation value regime; (b) the critical switching node is in the slightly high fluctuation value regime; (c) the critical switching node is in the high fluctuation value regime; and (d) the critical switching node is in the slightly low fluctuation value regime.