Initial ecosystem: 100 rabbits, 20 foxes

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Predator-Prey Ecosystem Simulation
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Initial: 100 rabbits, 20 foxes

📋 Competing Ecological Theories:
   1. Lotka-Volterra (classic predator-prey cycles)
   2. Logistic Prey (carrying capacity limits prey)
   3. Ratio Model (maintains fixed predator:prey ratio)

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  🦊 LV Model: R:69 (conf:0.90), F:37 (conf:0.90)
  🌿 Logistic Model: R:141 (conf:0.50), F:36
  ⚖️ Ratio Model: R:92, F:22 (conf:0.65)
  🦊 LV Model: R:37 (conf:0.90), F:56 (conf:0.90)
  🌿 Logistic Model: R:102 (conf:0.50), F:54
  ⚖️ Ratio Model: R:102, F:29 (conf:0.65)
  🦊 LV Model: R:9 (conf:0.60), F:77 (conf:0.90)
  🌿 Logistic Model: R:53 (conf:0.50), F:74
  ⚖️ Ratio Model: R:88, F:38 (conf:0.65)
  🦊 LV Model: R:0 (conf:0.60), F:100 (conf:0.90)
  🌿 Logistic Model: R:16 (conf:0.50), F:85
  ⚖️ Ratio Model: R:64, F:49 (conf:0.65)
  🦊 LV Model: R:0 (conf:0.60), F:94 (conf:0.90)
  🌿 Logistic Model: R:0 (conf:0.50), F:93
  ⚖️ Ratio Model: R:36, F:57 (conf:0.65)
  🦊 LV Model: R:0 (conf:0.60), F:87 (conf:0.90)
  🌿 Logistic Model: R:0 (conf:0.50), F:86
  ⚖️ Ratio Model: R:18, F:58 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 5!
     Population too low: R=7, F=79
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:78 (conf:0.90)
  🌿 Logistic Model: R:0 (conf:0.50), F:78
  ⚖️ Ratio Model: R:9, F:54 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 6!
     Population too low: R=3, F=71
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:71 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:67
  ⚖️ Ratio Model: R:4, F:49 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 7!
     Population too low: R=2, F=64
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:58 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:62
  ⚖️ Ratio Model: R:2, F:43 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 8!
     Population too low: R=1, F=55
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:51 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:53
  ⚖️ Ratio Model: R:1, F:38 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 9!
     Population too low: R=1, F=48
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:47 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:45
  ⚖️ Ratio Model: R:1, F:33 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 10!
     Population too low: R=1, F=42
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:40 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:40
  ⚖️ Ratio Model: R:1, F:29 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 11!
     Population too low: R=0, F=37
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:35 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:35
  ⚖️ Ratio Model: R:1, F:25 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 12!
     Population too low: R=0, F=32
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:30 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:30
  ⚖️ Ratio Model: R:1, F:22 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 13!
     Population too low: R=0, F=28
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:28 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:27
  ⚖️ Ratio Model: R:1, F:19 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 14!
     Population too low: R=0, F=25
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:23 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:24
  ⚖️ Ratio Model: R:1, F:17 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 15!
     Population too low: R=0, F=22
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:21 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:20
  ⚖️ Ratio Model: R:1, F:15 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 16!
     Population too low: R=1, F=19
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:18 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:17
  ⚖️ Ratio Model: R:1, F:13 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 17!
     Population too low: R=1, F=16
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:16 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:16
  ⚖️ Ratio Model: R:1, F:11 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 18!
     Population too low: R=1, F=14
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:14 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:13
  ⚖️ Ratio Model: R:1, F:10 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 19!
     Population too low: R=1, F=13
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:11 (conf:0.90)
  🌿 Logistic Model: R:1 (conf:0.50), F:12
  ⚖️ Ratio Model: R:1, F:9 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 20!
     Population too low: R=1, F=11
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:10 (conf:0.90)
  🌿 Logistic Model: R:2 (conf:0.50), F:10
  ⚖️ Ratio Model: R:1, F:7 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 21!
     Population too low: R=1, F=9
     Intervention: Restoring rabbit population to 10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:1 (conf:0.60), F:9 (conf:0.90)
  🌿 Logistic Model: R:2 (conf:0.50), F:9
  ⚖️ Ratio Model: R:2, F:7 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 22!
     Population too low: R=2, F=8
     Intervention: Restoring rabbit population to 10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:2 (conf:0.60), F:8 (conf:0.90)
  🌿 Logistic Model: R:3 (conf:0.50), F:8
  ⚖️ Ratio Model: R:2, F:6 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 23!
     Population too low: R=2, F=7
     Intervention: Restoring rabbit population to 10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:2 (conf:0.60), F:7 (conf:0.90)
  🌿 Logistic Model: R:4 (conf:0.50), F:7
  ⚖️ Ratio Model: R:3, F:5 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 24!
     Population too low: R=3, F=6
     Intervention: Restoring rabbit population to 10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:3 (conf:0.60), F:6 (conf:0.90)
  🌿 Logistic Model: R:5 (conf:0.50), F:6
  ⚖️ Ratio Model: R:4, F:4 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 25!
     Population too low: R=4, F=6
     Intervention: Restoring rabbit population to 10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:4 (conf:0.60), F:6 (conf:0.90)
  🌿 Logistic Model: R:7 (conf:0.50), F:6
  ⚖️ Ratio Model: R:5, F:4 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 26!
     Population too low: R=5, F=5
     Intervention: Restoring rabbit population to 10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:5 (conf:0.60), F:5 (conf:0.60)
  🌿 Logistic Model: R:10 (conf:0.50), F:5
  ⚖️ Ratio Model: R:6, F:4 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 27!
     Population too low: R=7, F=5
     Intervention: Restoring rabbit population to 10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:7 (conf:0.60), F:4 (conf:0.60)
  🌿 Logistic Model: R:13 (conf:0.50), F:4
  ⚖️ Ratio Model: R:8, F:4 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 28!
     Population too low: R=9, F=4
     Intervention: Restoring rabbit population to 10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:9 (conf:0.60), F:4 (conf:0.60)
  🌿 Logistic Model: R:18 (conf:0.50), F:4
  ⚖️ Ratio Model: R:10, F:4 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 29!
     Population too low: R=12, F=4
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:12 (conf:0.90), F:4 (conf:0.60)
  🌿 Logistic Model: R:23 (conf:0.50), F:4
  ⚖️ Ratio Model: R:13, F:4 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 30!
     Population too low: R=15, F=4
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:15 (conf:0.90), F:5 (conf:0.60)
  🌿 Logistic Model: R:29 (conf:0.50), F:4
  ⚖️ Ratio Model: R:15, F:4 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 31!
     Population too low: R=19, F=4
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:18 (conf:0.90), F:5 (conf:0.60)
  🌿 Logistic Model: R:35 (conf:0.50), F:4
  ⚖️ Ratio Model: R:18, F:4 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 32!
     Population too low: R=22, F=4
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:23 (conf:0.90), F:5 (conf:0.90)
  🌿 Logistic Model: R:39 (conf:0.50), F:5
  ⚖️ Ratio Model: R:20, F:5 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 33!
     Population too low: R=26, F=5
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:26 (conf:0.90), F:6 (conf:0.90)
  🌿 Logistic Model: R:51 (conf:0.50), F:6
  ⚖️ Ratio Model: R:23, F:5 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 34!
     Population too low: R=31, F=6
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:31 (conf:0.90), F:7 (conf:0.90)
  🌿 Logistic Model: R:53 (conf:0.50), F:7
  ⚖️ Ratio Model: R:28, F:6 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 35!
     Population too low: R=35, F=7
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:32 (conf:0.90), F:9 (conf:0.90)
  🌿 Logistic Model: R:62 (conf:0.50), F:8
  ⚖️ Ratio Model: R:32, F:7 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 36!
     Population too low: R=39, F=8
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:38 (conf:0.90), F:11 (conf:0.90)
  🌿 Logistic Model: R:68 (conf:0.50), F:10
  ⚖️ Ratio Model: R:37, F:9 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 37!
     Population too low: R=45, F=10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:36 (conf:0.90), F:14 (conf:0.90)
  🌿 Logistic Model: R:76 (conf:0.50), F:14
  ⚖️ Ratio Model: R:43, F:10 (conf:0.65)
  🦊 LV Model: R:40 (conf:0.90), F:19 (conf:0.90)
  🌿 Logistic Model: R:77 (conf:0.50), F:16
  ⚖️ Ratio Model: R:49, F:12 (conf:0.65)
  🦊 LV Model: R:37 (conf:0.90), F:23 (conf:0.90)
  🌿 Logistic Model: R:84 (conf:0.50), F:21
  ⚖️ Ratio Model: R:55, F:15 (conf:0.65)
  🦊 LV Model: R:38 (conf:0.90), F:28 (conf:0.90)
  🌿 Logistic Model: R:80 (conf:0.50), F:28
  ⚖️ Ratio Model: R:60, F:18 (conf:0.65)
  🦊 LV Model: R:32 (conf:0.90), F:38 (conf:0.90)
  🌿 Logistic Model: R:71 (conf:0.50), F:35
  ⚖️ Ratio Model: R:63, F:22 (conf:0.65)
  🦊 LV Model: R:22 (conf:0.90), F:44 (conf:0.90)
  🌿 Logistic Model: R:55 (conf:0.50), F:44
  ⚖️ Ratio Model: R:61, F:26 (conf:0.65)
  🦊 LV Model: R:14 (conf:0.90), F:54 (conf:0.90)
  🌿 Logistic Model: R:41 (conf:0.50), F:50
  ⚖️ Ratio Model: R:52, F:30 (conf:0.65)
  🦊 LV Model: R:6 (conf:0.60), F:59 (conf:0.90)
  🌿 Logistic Model: R:26 (conf:0.50), F:56
  ⚖️ Ratio Model: R:41, F:34 (conf:0.65)
  🦊 LV Model: R:2 (conf:0.60), F:65 (conf:0.90)
  🌿 Logistic Model: R:17 (conf:0.50), F:55
  ⚖️ Ratio Model: R:32, F:37 (conf:0.65)
  🦊 LV Model: R:0 (conf:0.60), F:65 (conf:0.90)
  🌿 Logistic Model: R:11 (conf:0.50), F:57
  ⚖️ Ratio Model: R:22, F:38 (conf:0.65)
  🦊 LV Model: R:0 (conf:0.60), F:62 (conf:0.90)
  🌿 Logistic Model: R:7 (conf:0.50), F:55
  ⚖️ Ratio Model: R:15, F:38 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 48!
     Population too low: R=8, F=53
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:0 (conf:0.60), F:53 (conf:0.90)
  🌿 Logistic Model: R:5 (conf:0.50), F:52
  ⚖️ Ratio Model: R:10, F:37 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 49!
     Population too low: R=5, F=48
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:51 (conf:0.90)
  🌿 Logistic Model: R:4 (conf:0.50), F:48
  ⚖️ Ratio Model: R:7, F:33 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 50!
     Population too low: R=4, F=45
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:44 (conf:0.90)
  🌿 Logistic Model: R:3 (conf:0.50), F:42
  ⚖️ Ratio Model: R:5, F:31 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 51!
     Population too low: R=3, F=40
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:38 (conf:0.90)
  🌿 Logistic Model: R:3 (conf:0.50), F:36
  ⚖️ Ratio Model: R:4, F:27 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 52!
     Population too low: R=3, F=34
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:32 (conf:0.90)
  🌿 Logistic Model: R:3 (conf:0.50), F:34
  ⚖️ Ratio Model: R:4, F:24 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 53!
     Population too low: R=3, F=30
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:31 (conf:0.90)
  🌿 Logistic Model: R:3 (conf:0.50), F:28
  ⚖️ Ratio Model: R:3, F:21 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 54!
     Population too low: R=3, F=27
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:1 (conf:0.60), F:27 (conf:0.90)
  🌿 Logistic Model: R:3 (conf:0.50), F:25
  ⚖️ Ratio Model: R:3, F:19 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 55!
     Population too low: R=3, F=24
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:2 (conf:0.60), F:23 (conf:0.90)
  🌿 Logistic Model: R:4 (conf:0.50), F:24
  ⚖️ Ratio Model: R:4, F:17 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 56!
     Population too low: R=3, F=22
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:2 (conf:0.60), F:21 (conf:0.90)
  🌿 Logistic Model: R:4 (conf:0.50), F:20
  ⚖️ Ratio Model: R:4, F:15 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 57!
     Population too low: R=3, F=19
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:2 (conf:0.60), F:20 (conf:0.90)
  🌿 Logistic Model: R:5 (conf:0.50), F:18
  ⚖️ Ratio Model: R:4, F:13 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 58!
     Population too low: R=4, F=17
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:2 (conf:0.60), F:17 (conf:0.90)
  🌿 Logistic Model: R:6 (conf:0.50), F:16
  ⚖️ Ratio Model: R:5, F:12 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 59!
     Population too low: R=4, F=15
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:3 (conf:0.60), F:15 (conf:0.90)
  🌿 Logistic Model: R:7 (conf:0.50), F:14
  ⚖️ Ratio Model: R:6, F:11 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 60!
     Population too low: R=5, F=14
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:5 (conf:0.60), F:13 (conf:0.90)
  🌿 Logistic Model: R:8 (conf:0.50), F:14
  ⚖️ Ratio Model: R:7, F:10 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 61!
     Population too low: R=6, F=12
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:6 (conf:0.60), F:11 (conf:0.90)
  🌿 Logistic Model: R:11 (conf:0.50), F:12
  ⚖️ Ratio Model: R:8, F:9 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 62!
     Population too low: R=8, F=11
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:8 (conf:0.60), F:11 (conf:0.90)
  🌿 Logistic Model: R:14 (conf:0.50), F:11
  ⚖️ Ratio Model: R:10, F:8 (conf:0.65)
  🦊 LV Model: R:9 (conf:0.60), F:10 (conf:0.90)
  🌿 Logistic Model: R:18 (conf:0.50), F:10
  ⚖️ Ratio Model: R:13, F:8 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 64!
     Population too low: R=13, F=9
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:11 (conf:0.90), F:10 (conf:0.90)
  🌿 Logistic Model: R:23 (conf:0.50), F:10
  ⚖️ Ratio Model: R:16, F:7 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 65!
     Population too low: R=16, F=9
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:14 (conf:0.90), F:10 (conf:0.90)
  🌿 Logistic Model: R:27 (conf:0.50), F:10
  ⚖️ Ratio Model: R:18, F:7 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 66!
     Population too low: R=19, F=9
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:17 (conf:0.90), F:11 (conf:0.90)
  🌿 Logistic Model: R:32 (conf:0.50), F:10
  ⚖️ Ratio Model: R:22, F:8 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 67!
     Population too low: R=22, F=10
     Intervention: Restoring fox population to 10
  🦊 LV Model: R:20 (conf:0.90), F:12 (conf:0.90)
  🌿 Logistic Model: R:40 (conf:0.50), F:11
  ⚖️ Ratio Model: R:25, F:8 (conf:0.65)
  🦊 LV Model: R:22 (conf:0.90), F:12 (conf:0.90)
  🌿 Logistic Model: R:46 (conf:0.50), F:12
  ⚖️ Ratio Model: R:30, F:9 (conf:0.65)
  🦊 LV Model: R:26 (conf:0.90), F:13 (conf:0.90)
  🌿 Logistic Model: R:52 (conf:0.50), F:14
  ⚖️ Ratio Model: R:34, F:10 (conf:0.65)
  🦊 LV Model: R:27 (conf:0.90), F:16 (conf:0.90)
  🌿 Logistic Model: R:58 (conf:0.50), F:15
  ⚖️ Ratio Model: R:38, F:11 (conf:0.65)
  🦊 LV Model: R:30 (conf:0.90), F:19 (conf:0.90)
  🌿 Logistic Model: R:61 (conf:0.50), F:18
  ⚖️ Ratio Model: R:42, F:13 (conf:0.65)
  🦊 LV Model: R:33 (conf:0.90), F:20 (conf:0.90)
  🌿 Logistic Model: R:63 (conf:0.50), F:21
  ⚖️ Ratio Model: R:46, F:15 (conf:0.65)
  🦊 LV Model: R:32 (conf:0.90), F:26 (conf:0.90)
  🌿 Logistic Model: R:62 (conf:0.50), F:25
  ⚖️ Ratio Model: R:50, F:16 (conf:0.65)
  🦊 LV Model: R:31 (conf:0.90), F:29 (conf:0.90)
  🌿 Logistic Model: R:63 (conf:0.50), F:29
  ⚖️ Ratio Model: R:52, F:19 (conf:0.65)
  🦊 LV Model: R:25 (conf:0.90), F:35 (conf:0.90)
  🌿 Logistic Model: R:58 (conf:0.50), F:35
  ⚖️ Ratio Model: R:54, F:22 (conf:0.65)
  🦊 LV Model: R:20 (conf:0.90), F:46 (conf:0.90)
  🌿 Logistic Model: R:51 (conf:0.50), F:40
  ⚖️ Ratio Model: R:51, F:25 (conf:0.65)
  🦊 LV Model: R:13 (conf:0.90), F:51 (conf:0.90)
  🌿 Logistic Model: R:38 (conf:0.50), F:47
  ⚖️ Ratio Model: R:46, F:29 (conf:0.65)
  🦊 LV Model: R:6 (conf:0.60), F:52 (conf:0.90)
  🌿 Logistic Model: R:27 (conf:0.50), F:49
  ⚖️ Ratio Model: R:37, F:32 (conf:0.65)
  🦊 LV Model: R:4 (conf:0.60), F:53 (conf:0.90)
  🌿 Logistic Model: R:20 (conf:0.50), F:52
  ⚖️ Ratio Model: R:30, F:33 (conf:0.65)
  🦊 LV Model: R:3 (conf:0.60), F:55 (conf:0.90)
  🌿 Logistic Model: R:14 (conf:0.50), F:51
  ⚖️ Ratio Model: R:24, F:33 (conf:0.65)
  🦊 LV Model: R:2 (conf:0.60), F:50 (conf:0.90)
  🌿 Logistic Model: R:12 (conf:0.50), F:50
  ⚖️ Ratio Model: R:18, F:33 (conf:0.65)
  🦊 LV Model: R:2 (conf:0.60), F:45 (conf:0.90)
  🌿 Logistic Model: R:9 (conf:0.50), F:44
  ⚖️ Ratio Model: R:14, F:32 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 83!
     Population too low: R=8, F=41
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:2 (conf:0.60), F:43 (conf:0.90)
  🌿 Logistic Model: R:8 (conf:0.50), F:42
  ⚖️ Ratio Model: R:11, F:29 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 84!
     Population too low: R=7, F=38
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:2 (conf:0.60), F:39 (conf:0.90)
  🌿 Logistic Model: R:7 (conf:0.50), F:38
  ⚖️ Ratio Model: R:9, F:27 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 85!
     Population too low: R=6, F=36
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:2 (conf:0.60), F:32 (conf:0.90)
  🌿 Logistic Model: R:7 (conf:0.50), F:35
  ⚖️ Ratio Model: R:8, F:25 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 86!
     Population too low: R=6, F=31
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:2 (conf:0.60), F:33 (conf:0.90)
  🌿 Logistic Model: R:7 (conf:0.50), F:31
  ⚖️ Ratio Model: R:7, F:22 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 87!
     Population too low: R=6, F=29
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:3 (conf:0.60), F:30 (conf:0.90)
  🌿 Logistic Model: R:7 (conf:0.50), F:29
  ⚖️ Ratio Model: R:7, F:20 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 88!
     Population too low: R=6, F=27
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:3 (conf:0.60), F:27 (conf:0.90)
  🌿 Logistic Model: R:7 (conf:0.50), F:26
  ⚖️ Ratio Model: R:7, F:19 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 89!
     Population too low: R=6, F=25
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:3 (conf:0.60), F:25 (conf:0.90)
  🌿 Logistic Model: R:8 (conf:0.50), F:23
  ⚖️ Ratio Model: R:8, F:17 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 90!
     Population too low: R=6, F=22
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:4 (conf:0.60), F:24 (conf:0.90)
  🌿 Logistic Model: R:9 (conf:0.50), F:21
  ⚖️ Ratio Model: R:8, F:16 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 91!
     Population too low: R=7, F=21
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:5 (conf:0.60), F:22 (conf:0.90)
  🌿 Logistic Model: R:10 (conf:0.50), F:21
  ⚖️ Ratio Model: R:9, F:15 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 92!
     Population too low: R=8, F=20
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:6 (conf:0.60), F:21 (conf:0.90)
  🌿 Logistic Model: R:12 (conf:0.50), F:21
  ⚖️ Ratio Model: R:10, F:14 (conf:0.65)

  🚨 ECOSYSTEM CRISIS at step 93!
     Population too low: R=9, F=19
     Intervention: Restoring rabbit population to 10
  🦊 LV Model: R:6 (conf:0.60), F:18 (conf:0.90)
  🌿 Logistic Model: R:15 (conf:0.50), F:19
  ⚖️ Ratio Model: R:12, F:14 (conf:0.65)
  🦊 LV Model: R:8 (conf:0.60), F:19 (conf:0.90)
  🌿 Logistic Model: R:16 (conf:0.50), F:17
  ⚖️ Ratio Model: R:14, F:12 (conf:0.65)
  🦊 LV Model: R:9 (conf:0.60), F:17 (conf:0.90)
  🌿 Logistic Model: R:20 (conf:0.50), F:17
  ⚖️ Ratio Model: R:16, F:12 (conf:0.65)
  🦊 LV Model: R:11 (conf:0.90), F:16 (conf:0.90)
  🌿 Logistic Model: R:21 (conf:0.50), F:16
  ⚖️ Ratio Model: R:18, F:12 (conf:0.65)
  🦊 LV Model: R:12 (conf:0.90), F:17 (conf:0.90)
  🌿 Logistic Model: R:26 (conf:0.50), F:16
  ⚖️ Ratio Model: R:20, F:11 (conf:0.65)
  🦊 LV Model: R:14 (conf:0.90), F:17 (conf:0.90)
  🌿 Logistic Model: R:29 (conf:0.50), F:16
  ⚖️ Ratio Model: R:22, F:12 (conf:0.65)

============================================================
Simulation Complete!
Final: 20 rabbits, 15 foxes
Ecosystem interventions: 63
============================================================

📊 Ecosystem Dynamics Analysis
----------------------------------------

🐇 Rabbits:
   Initial: 100
   Final:   20
   Mean:    18
   Std Dev: 20
   Min:     0
   Max:     100

🦊 Foxes:
   Initial: 20
   Final:   15
   Mean:    26
   Std Dev: 19
   Min:     4
   Max:     84

📈 Rabbit-Fox Correlation: -0.003
   → Weak correlation (other dynamics at play)

🔄 Cycles detected:
   Rabbit peaks: 2
   Fox peaks: 3
   Avg rabbit cycle length: 34 steps

⚖️ Rabbit:Fox Ratio:
   Mean: 1.18
   Std:  1.45
   Min:  0.01
   Max:  5.33

⚠️ Extinction Risk (% steps below 10):
   Rabbits: 49.5%
   Foxes:   20.8%