# Dairy Lactation Curve Model AI Agent Connect

> Predict dairy cow milk production trajectories using Wood's and Wilmink's mathematical models.

## Overview
- **Category:** agriculture
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_qLlBwi9jsud3zqxiQllfuQormj0zcARzw1Q1oige/ai-agent-connect
- **Tags:** dairy, lactation, modeling, agriculture, economics

## Description

This MCP server provides advanced mathematical modeling for dairy herd management. It uses Wood's gamma function and Wilmink's exponential model to predict milk production patterns. Users can calculate specific daily yields with `get_daily_production`, determine total milk produced via `get_cumulative_yield`, and forecast long-term metrics like 305-day yield and persistency using `get_lactation_projections`. Additionally, `predict_economic_schedule` helps optimize dry-off dates and evaluate calving interval economics.

## Tools

### get_cumulative_yield
Calculates the total volume of milk produced from calving up to a specific day

### get_daily_production
Determines the specific milk volume produced on a given day

### get_lactation_projections
Predicts long-term production metrics including 305-day yield and the persistency of the cow

### predict_economic_schedule
Estimates the optimal dry-off date and the resulting economic implications for the calving interval

## Prompt Examples

**Prompt:** 
```
How much milk will this cow produce on day 150 if her peak was 40kg on day 50 and she is parity 2 using the woods model?
```

**Response:** 
```
On day 150, the predicted daily milk yield is 22.45kg.
```

**Prompt:** 
```
What is the projected 305-day yield for a cow with a peak of 45kg on day 40 and parity 1 using the wilmink model?
```

**Response:** 
```
The projected 305-day yield is 10,250kg.
```

**Prompt:** 
```
Calculate the total milk produced up to day 200 for a cow with peak 35kg on day 45 and parity 3 using the woods model.
```

**Response:** 
```
The total cumulative yield up to day 200 is 5,120kg.
```

## Frequently Asked Questions

**What mathematical models are supported?**
The server supports Wood's gamma function and Wilmink's exponential model for modeling lactation curves.

**How can I predict the total milk yield for a cow?**
You can use the `get_cumulative_yield` tool to calculate the total volume of milk produced from calving up to a specific day.

**Can this model help with economic planning?**
Yes, the `predict_economic_schedule` tool estimates optimal dry-off dates and provides an economic impact score related to the calving interval.