# Primary Emission

**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="/files/GLjrzl9k0nZRHnwyFJS4" alt=""><figcaption><p>Non Cumulative graph of Emission unlocking</p></figcaption></figure>

<figure><img src="/files/ZKgMPLOnrbUTh4S0hMPt" alt=""><figcaption><p>Cumulative graph of Emission unlocking</p></figcaption></figure>


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