> For the complete documentation index, see [llms.txt](https://docs.ducattechnologies.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.ducattechnologies.com/token-governance/token-emission/primary-emission.md).

# Primary Emission

How Primary Emissions work

**Primary Emissions**

The primary emissions pool is designed to align with DUCAT’s long-term vision by rewarding ecosystem contributors proportionally to their engagement over time. The emission rate decreases progressively, ensuring longevity and sustainability.

* **Emission Rule**:\
  The number of tokens emitted on day n is proportional to the fraction of remaining tokens in the pool:

$$
\text{Tokens at Day } n = \frac{n}{100000} \times \text{Remaining Pool Tokens}
$$

This creates a decaying emission model, where the distribution rate slows as the pool diminishes, incentivizing earlier contributions while maintaining reserves for future growth.

* **Key Benefits**:
  * Encourages early adoption and participation.
  * Creates a long-tail emission structure, ensuring token availability for sustained development.

<figure><img src="https://3732295987-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FIk7mJnG2n3htlMnvwazh%2Fuploads%2FEvEWXbXcNOB5Z9Cfq0zx%2FUnlock%20vs.%20Day%20(non%20cumulative).png?alt=media&amp;token=2ba26fd8-bc42-4b64-8da3-10ac99998334" alt=""><figcaption><p>Non Cumulative graph of Emission unlocking</p></figcaption></figure>

<figure><img src="https://3732295987-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FIk7mJnG2n3htlMnvwazh%2Fuploads%2FShcwLyLzW58BLSDXwID9%2FUnlock%20vs.%20Day%20(cumulative).png?alt=media&amp;token=87d05ce7-494f-450f-9123-411fe2dc3a7d" alt=""><figcaption><p>Cumulative graph of Emission unlocking</p></figcaption></figure>
