{
  "r0_base": 2.5,
  "k_sars": 0.1,
  "k_geometric": 1.0,
  "confidence_pct": 95,
  "max_cluster_size": 500,
  "sars_q1": 0.860685,
  "geometric_q1": 0.4,
  "poisson_q1": 0.107355,
  "sars_j_star_95": 20,
  "geometric_j_star_95": 4,
  "poisson_j_star_95": 2,
  "mers_q1": 0.951957,
  "mers_j_star_95": 61,
  "smallpox_q1": 0.767592,
  "smallpox_j_star_95": 12,
  "sars_p_s1": 0.721943,
  "sars_p_s1_extinction_pct": 83.88,
  "sars_sum_500": 0.860685,
  "sars_sum_500_residual": 0.0,
  "mc_sims": 50000,
  "mc_empirical_q1": 0.86216,
  "mc_se_q1": 0.001542,
  "mc_z_score": 0.956,
  "table_regimes": [
    {
      "pathogen": "SARS-like (high superspreading)",
      "r0": 2.5,
      "k": 0.1,
      "extinction_prob": 0.860685,
      "epidemic_prob": 0.139315,
      "j_star_95": 20
    },
    {
      "pathogen": "Geometric baseline (moderate variance)",
      "r0": 2.5,
      "k": 1.0,
      "extinction_prob": 0.4,
      "epidemic_prob": 0.6,
      "j_star_95": 4
    },
    {
      "pathogen": "Poisson limit (homogeneous)",
      "r0": 2.5,
      "k": "inf",
      "extinction_prob": 0.107355,
      "epidemic_prob": 0.892645,
      "j_star_95": 2
    },
    {
      "pathogen": "MERS-like (near-critical overdispersed)",
      "r0": 1.2,
      "k": 0.16,
      "extinction_prob": 0.951957,
      "epidemic_prob": 0.048043,
      "j_star_95": 61
    },
    {
      "pathogen": "Pneumonic plague / Smallpox-like",
      "r0": 1.5,
      "k": 0.5,
      "extinction_prob": 0.767592,
      "epidemic_prob": 0.232408,
      "j_star_95": 12
    }
  ]
}