Label | Explanation | Data Type |

Input Space Time Cube
| The space-time cube containing the variable to be analyzed. Space-time cubes have a .nc file extension and are created using various tools in the Space Time Pattern Mining toolbox. | File |

Primary Analysis Variable
| The numeric variable of the space-time cube containing the time series values of the primary variable. | String |

Secondary Analysis Variable
| The numeric variable of the space-time cube containing the secondary analysis variable. When using time lags, the secondary analysis variable is shifted relative to the primary analysis variable. | String |

Output Features
| The output features containing the cross correlations of all locations for all time lags. The output will also have fields of the strongest correlations (positive, negative, and absolute) and fields of the correlations of all time lags. If you filter and remove trends, and you do not use neighbors, the output will contain fields of p-values and 95 percent confidence intervals of all cross correlations. | Feature Class |

Enable Time Series Pop-ups
(Optional) | Specifies whether time series charts will be created in the pop-ups of each output feature showing the cross correlation results. Time series pop-ups are not supported for shapefile outputs. - Checked—Time series charts will be created for the output features.
- Unchecked—Time series charts will not be created. This is the default.
| Boolean |

Maximum Time Lag
(Optional) | The maximum number of time lags that will be used to shift the secondary analysis variable. Cross correlations will be calculated for every time lag value up to the maximum. Provide a positive value even for negative time lags; for example, if 10 is provided for this parameter and the time lag direction shifts the secondary variable both directions, cross correlations will be calculated for all time lags between -10 and 10. If no value is provided, a value will be determined based on the length of the time series. Provide a value of 0 to calculate only the raw correlation between the time series without any time lags. | Long |

Secondary Variable Lag Direction
(Optional) | Specifies the direction of the time lag. The secondary variable can be shifted forward in time (relative to the primary variable), backward in time, or in both directions. - Shift secondary variable both directions—The secondary analysis variable will be shifted in both directions. For example, if the maximum time lag is 5, the correlations for all time lags between -5 and 5 will be calculated. This is the default.
- Shift secondary variable forward in time—The secondary analysis variable will be shifted forward in time (right on the time axis). For example, if the maximum time lag is 5, the correlations for all time lags between 0 and 5 will be calculated. This option is appropriate when changes in the secondary analysis variable occur before changes in the primary analysis variable.
- Shift secondary variable backward in time—The secondary analysis variable will be shifted backward in time (left on the time axis). For example, if the maximum time lag is 5, the correlations for all time lags between -5 and 0 will be calculated. This option is appropriate when changes in the primary analysis variable occur before changes in the secondary analysis variable.
| String |

Spatial Neighbors to Include in Calculations
(Optional) | Specifies the neighbors around each location that will be used in calculations. If neighbors are used, the cross correlation of a location is the weighted average of the correlations between the primary variable of the focal location and the secondary variable of each of its neighbors (including itself). - No neighbors—No spatial neighbors will be included in the calculations.
- Distance band—Locations within a specified distance of each location will be included as neighbors in calculations.
- K nearest neighbors— A given number of nearest locations will be included as neighbors in calculations.
- Contiguity edges only— Polygons that share an edge will be included as neighbors (rook contiguity).
- Contiguity edges corners— Polygons that share an edge or a corner will be included as neighbors (queen contiguity).
| String |

Number of Spatial Neighbors
(Optional) | The number of nearest locations that will be included as neighbors in the calculations. | Long |

Distance Band
(Optional) | All locations within this distance will be included as neighbors. If no value is provided, one will be estimated during processing and included as a geoprocessing message. If the specified distance results in more than 1,000 neighbors, only the closest 1,000 locations will be included as neighbors. For polygons, the distance between centroids is used to determine neighbors. | Linear Unit |

Spatial Neighbor Weighting Method
(Optional) | Specifies the weighting scheme that will be applied to spatial neighbors when calculating the correlations. The weights are used when calculating the weighted average of the correlation between the focal feature and each neighbor. - Equal weights—Each neighbor will receive equal weight (unweighted). This is the default.
- Bisquare kernel—Neighbors will be weighted using a bisquare kernel.
- Gaussian kernel—Neighbors will be weighted using a Gaussian kernel.
| String |

Filter and Remove Trend (Optional) | Specifies whether trends, seasonality, and autocorrelation will be removed from the primary analysis variable and used to filter the secondary analysis variable. - Checked—Trends, seasonality, and autocorrelation will be removed.
- Unchecked—The time series values will not be altered. This is the default.
| Boolean |

Output Lagged Correlations Table
(Optional) | A table containing the correlations of every time lag of every location. | Table |

Output Pairwise Correlations Table
(Optional) | A table containing the pairwise correlations between each location and each neighbor at all time lags. | Table |

### Derived Output

Label | Explanation | Data Type |

Output Layer Group | A group layer of the output layers. | Group Layer |