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vieiramesquita committed Jun 25, 2024
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# Trend Analysis Module

This module includes functionalities for trend analysis.
This module includes functionalities related to `trend_analysis.py` code.

## Overview

The `trend_analysis` module provides functions to analyze trends in time series data.
The `trend_analysis` module provides functions to gap filling and analyze trends in time series data.

## Functions

### `calculate_moving_average(data, window_size)`
### 1.`extract_ts`

Calculates the moving average of a time series.
Extracts time series data from the DataFrame for 5-day intervals.

#### Parameters
- `df`: DataFrame containing the data.
- `dt_5days`: List of 5-day intervals.

- `data` (list of float): The time series data.
- `window_size` (int): The window size for the moving average calculation.
Returns:
- Time series data and corresponding dates.

#### Returns
### 2.`gapfill`

- `list of float`: The time series of moving averages.

#### Example Usage

```python
from trend_analysis import calculate_moving_average

data = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
moving_average = calculate_moving_average(data, window_size=3)
print(moving_average) # Output: [2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0]
```

### `detect_trend(data)`

Detects the trend in a time series.
Fills gaps in the time series data.

#### Parameters
- `ts`: Time series data.
- `dates`: List of dates corresponding to the time series data.
- `season_size`: Size of the seasonal period.

- `data` (list of float): The time series data.

#### Returns

- `str`: The detected trend ('upward', 'downward', 'stable').
Returns:
- Filled time series data and updated dates.

#### Example Usage
### 3.`sm_trend`

```python
from trend_analysis import detect_trend

data = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
trend = detect_trend(data)
print(trend) # Output: upward
```

### `forecast(data, periods)`

Forecasts future values of a time series.
Applies seasonal decomposition and trend smoothing to the time series data.

#### Parameters
- `ts`: Time series data.
- `season_size`: Size of the seasonal period.
- `seasonal_smooth`: Size of the seasonal smoothing.

- `data` (list of float): The time series data.
- `periods` (int): The number of periods to forecast.
Returns:
- Trend analysis results and column names.

#### Returns
### 4.`run`

- `list of float`: The forecasted values for the next periods.
Executes the trend analysis workflow for a given polygon ID.

#### Example Usage

```python
from trend_analysis import forecast

data = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
future_values = forecast(data, periods=3)
print(future_values) # Output: [11, 12, 13]
```
#### Parameters
- `input_file`: Input database file.
- `id_pol`: ID of the polygon.
- `dt_5days`: List of 5-day intervals.
- `season_size`: Size of the seasonal period.
- `output_file`: Output file path.

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