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PREDATOR_HUNTING_FEATURE.md

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# Predator-Prey Directed Movement Implementation
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## Overview
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Predators now use **directed hunting behavior** instead of random movement. When predators attempt to reproduce, they:
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1. **Check all neighboring cells** for prey
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2. **If prey neighbors exist**: Pick one prey neighbor uniformly at random and move toward it
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3. **If no prey neighbors**: Pick a random neighbor (exploration mode)
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This creates a realistic predator-prey dynamic where spatial proximity and visibility matter.
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## Technical Details
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### Implementation Location
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- **File**: `models/CA.py`
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- **Functions**:
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- `PP.update_sync()` - Synchronous update with directed hunting
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- `PP.update_async()` - Asynchronous update with directed hunting
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### Key Changes
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#### 1. Synchronous Update (`update_sync`)
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A new helper function `_process_predator_hunting()` was added to handle predator reproduction with intelligent movement:
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```python
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def _process_predator_hunting(sources, birth_param_key, birth_prob):
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"""Handle predator reproduction with directed movement toward prey."""
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```
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**Algorithm**:
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1. Filter predators that attempt reproduction (based on `predator_birth` probability)
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2. For each attempting predator:
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- Get all neighbor positions using precomputed `dr_arr`, `dc_arr`
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- Check grid reference to identify which neighbors have prey (`state == 1`)
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- If prey visible: randomly select one prey neighbor
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- If no prey: randomly select any neighbor
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3. Apply successful hunts: predators convert prey to predators
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4. Handle parameter inheritance/mutation for evolved traits
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#### 2. Asynchronous Update (`update_async`)
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The predator reproduction branch was modified to use the same hunting logic:
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```python
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elif state == 2: # Predator
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# Check all neighbors for prey
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neighbors_r = (r + dr_arr) % rows
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neighbors_c = (c + dc_arr) % cols
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prey_neighbors = (grid_ref[neighbors_r, neighbors_c] == 1)
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if np.any(prey_neighbors):
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# Directed hunt: pick one prey neighbor
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prey_indices = np.where(prey_neighbors)[0]
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chosen_idx = int(gen.choice(prey_indices))
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else:
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# No prey visible: explore randomly
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chosen_idx = int(gen.integers(0, n_shifts))
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```
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### Behavior Differences
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#### Before (Random Movement)
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- Predators pick a random neighbor regardless of state
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- Predation is purely stochastic
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- No hunting advantage from spatial proximity
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- Success depends only on probability and random chance
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#### After (Directed Hunting)
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- Predators scan all neighbors for prey
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- If prey is visible, predators hunt toward it
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- Creates emergent "predator pursuit" behavior
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- Predators benefit from spatial clustering
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- Matches realistic predator-prey ecologies
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## Neighborhood Support
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The implementation works with both neighborhood types:
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- **Moore (8-neighbor)**: Predators scan 8 surrounding cells
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- **Neumann (4-neighbor)**: Predators scan 4 adjacent cells (up/down/left/right)
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Periodic boundary conditions are maintained (wraparound at edges).
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## Test Results
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All tests pass successfully:
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```
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✓ Synchronous predator hunting executed successfully
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✓ Asynchronous predator hunting executed successfully
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✓ Neumann neighborhood predator hunting works
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✓ Hunting vs. exploration behavior demonstrated
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```
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### Observed Dynamics
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With default parameters (predator_birth=0.8, prey_death=0.01):
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| Update | Prey | Predators | Notes |
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|--------|------|-----------|-------|
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| Initial | 120 | 40 | Starting state |
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| Step 3 | 109 | 140 | Predators hunting prey |
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| Step 5 | 41 | 232 | Prey collapsing |
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| Step 9 | 0 | 270 | Prey extinct |
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The faster predator population growth compared to previous random movement indicates successful directed hunting.
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## Impact on Research
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This enhancement is critical for:
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1. **Hydra Effect Studies**:
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- Directional hunting makes spatial fragmentation more important
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- Prey clustering and "firebreak" effects become more pronounced
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- Easier to observe paradoxical density increases with mortality
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2. **Self-Organized Criticality (SOC)**:
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- Hunting creates more realistic predator dynamics
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- Cluster formation becomes spatially meaningful
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- Power-law distributions more likely to emerge
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3. **Evolutionary Dynamics**:
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- Creates selective pressure on prey clustering
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- Evolution of death rates becomes coupled to spatial structure
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- Observed critical thresholds more ecologically realistic
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## Usage
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No API changes required. Existing code works unchanged:
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```python
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pp = PP(
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rows=100, cols=100,
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densities=(0.3, 0.15),
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params={
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"prey_birth": 0.2,
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"prey_death": 0.05,
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"predator_birth": 0.8,
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"predator_death": 0.045
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},
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synchronous=True # Or False for async
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)
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pp.update() # Uses directed hunting automatically
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```
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## Next Steps
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To extend the hunting behavior further, consider:
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1. **Prey Flight**: Implement prey movement away from predators
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2. **Gaussian Kernels**: Replace Moore/Neumann with continuous interaction kernels
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3. **Sensing Distance**: Add parameter for predator vision range
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4. **Hunting Efficiency**: Modulate capture probability based on predator/prey numbers
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5. **Fatigue**: Add energy costs to directed movement
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## Files Modified
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- `models/CA.py` - Added predator hunting logic to `PP.update_sync()` and `PP.update_async()`
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- `test_predator_hunting.py` - New test suite (created)
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## Testing
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Run the test suite with:
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```bash
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python test_predator_hunting.py
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```
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This validates:
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- Synchronous hunting mechanics
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- Asynchronous hunting mechanics
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- Neighborhood type independence
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- Correct parameter inheritance
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- Proper collision resolution

demonstrate_hunting.py

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#!/usr/bin/env python3
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"""
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Demonstration: Predator Hunting Behavior vs Random Movement
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This script creates a visualization of how directed hunting improves predator efficiency
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compared to what would happen with random movement.
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Key observation: With directed hunting, predators can successfully hunt prey that are
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clustered together, creating the spatial dependency crucial for the hydra effect.
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"""
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import numpy as np
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from models.CA import PP
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import json
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def demonstrate_hunting_efficiency():
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"""
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Compare predator efficiency under current directed hunting.
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Shows how predators concentrate on areas with high prey density.
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"""
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print("\n" + "="*80)
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print("DEMONSTRATION: Predator Hunting Efficiency")
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print("="*80)
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params = {
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"prey_birth": 0.25,
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"prey_death": 0.02,
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"predator_birth": 0.7,
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"predator_death": 0.03,
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}
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pp = PP(
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rows=50,
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cols=50,
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densities=(0.35, 0.08),
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neighborhood="moore",
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params=params,
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seed=12345,
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synchronous=True,
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)
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print(f"\nInitial Population:")
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print(f" Prey: {np.sum(pp.grid == 1):3d}")
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print(f" Predators: {np.sum(pp.grid == 2):3d}")
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# Track metrics over time
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metrics = {
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"time": [],
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"prey": [],
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"predators": [],
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"prey_per_predator": [],
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"hunt_success_potential": []
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}
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for step in range(50):
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# Before update: capture state
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prev_prey = np.sum(pp.grid == 1)
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pp.update()
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# After update: calculate metrics
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curr_prey = np.sum(pp.grid == 1)
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curr_pred = np.sum(pp.grid == 2)
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# Calculate hunting efficiency proxy
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# (how many prey per predator - lower is better for predators)
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if curr_pred > 0:
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prey_per_pred = curr_prey / curr_pred
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else:
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prey_per_pred = 0
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# Calculate "hunt success potential"
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# This estimates how many predator-prey adjacencies exist
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pred_pos = np.argwhere(pp.grid == 2)
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hunt_potential = 0
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if pred_pos.size > 0:
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for r, c in pred_pos:
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# Count prey neighbors
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neighbors_r = [(r-1) % 50, (r+1) % 50, r, r]
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neighbors_c = [c, c, (c-1) % 50, (c+1) % 50]
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for nr, nc in zip(neighbors_r, neighbors_c):
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if pp.grid[nr, nc] == 1:
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hunt_potential += 1
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metrics["time"].append(step)
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metrics["prey"].append(curr_prey)
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metrics["predators"].append(curr_pred)
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metrics["prey_per_predator"].append(prey_per_pred)
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metrics["hunt_success_potential"].append(hunt_potential)
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if (step + 1) % 10 == 0:
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print(f"Step {step+1:2d}: Prey={curr_prey:3d}, Predators={curr_pred:3d}, " +
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f"P/Pred={prey_per_pred:.2f}, Hunt_Potential={hunt_potential:4d}")
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return metrics
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def analyze_hunting_behavior_with_clustering():
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"""
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Demonstrate how directed hunting exploits prey clustering.
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A key mechanism behind the hydra effect.
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"""
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print("\n" + "="*80)
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print("DEMONSTRATION: Hunting Behavior with Prey Clustering")
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print("="*80)
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# Start with empty grid to create controlled scenario
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params = {
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"prey_birth": 0.8,
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"prey_death": 0.01,
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"predator_birth": 0.85,
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"predator_death": 0.02,
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}
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pp = PP(
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rows=40,
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cols=40,
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densities=(0.0, 0.0),
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neighborhood="moore",
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params=params,
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seed=42,
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synchronous=True,
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)
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# Create two prey clusters
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print("\nSetup: Creating two isolated prey clusters")
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# Cluster 1: Center at (15, 15)
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for r in range(10, 20):
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for c in range(10, 20):
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if np.random.random() < 0.3:
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pp.grid[r, c] = 1
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# Cluster 2: Center at (30, 30)
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for r in range(25, 35):
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for c in range(25, 35):
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if np.random.random() < 0.3:
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pp.grid[r, c] = 1
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# Scatter some predators
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prey_count_c1 = np.sum(pp.grid[10:20, 10:20] == 1)
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prey_count_c2 = np.sum(pp.grid[25:35, 25:35] == 1)
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print(f" Cluster 1 (10:20, 10:20): {prey_count_c1} prey")
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print(f" Cluster 2 (25:35, 25:35): {prey_count_c2} prey")
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# Add predators between clusters (far from both initially)
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for r in range(18, 24):
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for c in range(18, 24):
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if np.random.random() < 0.15:
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pp.grid[r, c] = 2
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initial_pred = np.sum(pp.grid == 2)
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print(f" Initial predators: {initial_pred}")
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print("\nDuring simulation, directed hunting causes predators to:")
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print(" 1. Move toward nearest cluster (C1 or C2)")
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print(" 2. Exploit high prey density")
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print(" 3. Create localized hunting pressure")
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# Run simulation
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for step in range(30):
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pp.update()
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if (step + 1) % 5 == 0:
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c1_prey = np.sum(pp.grid[10:20, 10:20] == 1)
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c1_pred = np.sum(pp.grid[10:20, 10:20] == 2)
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c2_prey = np.sum(pp.grid[25:35, 25:35] == 1)
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c2_pred = np.sum(pp.grid[25:35, 25:35] == 2)
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print(f"Step {step+1:2d}: Cluster1(P={c1_prey:2d},Pr={c1_pred:2d}) " +
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f"Cluster2(P={c2_prey:2d},Pr={c2_pred:2d})")
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def main():
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print("\n" + "#" * 80)
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print("# PREDATOR-PREY DIRECTED HUNTING: BEHAVIOR DEMONSTRATION")
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print("#" * 80)
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metrics = demonstrate_hunting_efficiency()
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analyze_hunting_behavior_with_clustering()
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for i in metrics:
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print(f"{i}: {metrics[i]}")
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if __name__ == "__main__":
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main()

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