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Bifurcation-Based Predictive Modelling of Socio-Political Dynamics

2 September 2025   10:12 Diperbarui: 2 September 2025   10:12 29
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(Core Equation (Source: Privat Document)

A. Summary of Predictive Capabilities

The socio-political stability model demonstrates that complex unrest dynamics can be quantified, monitored, and predicted using a combination of stochastic differential equations (SDEs), early-warning indicators (EWI), and ensemble-based forecasting. Key predictive capabilities include:

1. Early-Warning Indicators (EWI)

Critical Slowing Down (CSD): Rising variance and autocorrelation in trust (TT) and grievance (HH) signals approaching a bifurcation or tipping point.
Flickering: Sudden switching between low- and high-unrest states, signaling a system near instability.
r-Index: Continuous measure of dynamic stability, tracking whether feedback loops are converging (r<1r<1) or diverging (r>1r>1).
2. Near-Term Forecasting

Short-term (1--2 weeks) unrest probability is estimated via ensemble runs of the SDE model with noise-driven perturbations.
Provides probabilistic forecasts of:
Unrest magnitude (HH) and spatial distribution.
Media-triggered cascades through stochastic amplification (G(X)G(X)).
3. Mid- to Long-Term Scenario Analysis

Parameter sweeps evaluate how structural reforms (e.g., improving 0\eta_0, lowering P,E\alpha_P, \alpha_E) shift the system toward more resilient attractors.
Mean First Passage Time (MFPT) analysis estimates how long the system is likely to stay in a stable state before crossing a crisis threshold.
4. Real-Time Crisis Tracking

Continuous ingestion of economic, social media, and sentiment data updates parameter values.
Provides daily risk maps, highlighting hotspots and informing timely intervention (U) strategies.
5. Policy Experimentation & Feedback Testing

Virtual sandbox for testing:
Effectiveness of relief measures.
Impact of communication strategies.
Consequences of coercive vs. conciliatory approaches.
Quantifies trade-offs between speed, legitimacy, and control in crisis response.

B. Strategic Policy Value

The predictive framework outlined in this study offers substantial strategic value for policy-makers navigating socio-political turbulence in Indonesia. Its utility extends beyond academic modeling to practical governance applications across crisis management, institutional planning, and national security.

1. Crisis Anticipation and Early Response

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