# 📐 L2 Spec — Lotka-Volterra Predator-Prey Dynamics — Nominal + Mismatch Specs
**ID:** `L2-407-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-407`](/artifact/l1/L1-407)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.25 · **Delta tier:** 5
> **⛓ On-chain block:** 41555222
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| Period yr | — | 0.5 – 50 |
| N observations | — | 10 – 300 |
| Amplitude h max | — | 10 – 100000 |
| Observation noise log sigma | — | 0.01 – 1.0 |
## 2. Tolerance (ε)
**Type:** `fn`
```
0.05 + 0.05 * (observation_noise_log_sigma / 0.1) ** 0.5
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.25 |
| Delta tier | 5 |
## 4. Fingerprint
`5582cf4b64e3f72b10cea5eb00aab6f3283f6747a091daa896d139a5a6a76c14`
## 5. On-chain Registration
- **Chain hash:** `0xa0e88f23e9a1ab8ce1475fffe35d49b71c0c5b8fd08e00ad280c471f7a1f0688`
- **Chain tx hash:** `0x5f1f3c843e19e9136892f7529977d2e2254bb034f34a3cabca54ffb1f8370b08`
- **Chain block:** `41555222`
---
## File Mapping
This bundle consists of: `L2-407-001.md`, `L2-407-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-407-001.md` | Source of truth — edit this | Human or LLM |
| `L2-407-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |
**Prompt for your LLM after editing this Markdown:**
> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.
_This Markdown was auto-synthesized from the catalog row for `L2-407-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._