To generate a DECLARE model for the given process variants, we need to identify the constraints that hold for the activities and their relationships. Based on the provided process variants, here is a DECLARE model:

```python
declare_model = {
    'existence': {
        'Create Fine': {'support': 1.0, 'confidence': 1.0},
        'Send Fine': {'support': 1.0, 'confidence': 1.0},
        'Insert Fine Notification': {'support': 1.0, 'confidence': 1.0},
        'Add penalty': {'support': 1.0, 'confidence': 1.0},
        'Payment': {'support': 1.0, 'confidence': 1.0},
        'Send for Credit Collection': {'support': 1.0, 'confidence': 1.0},
        'Insert Date Appeal to Prefecture': {'support': 1.0, 'confidence': 1.0},
        'Send Appeal to Prefecture': {'support': 1.0, 'confidence': 1.0},
        'Receive Result Appeal from Prefecture': {'support': 1.0, 'confidence': 1.0},
        'Notify Result Appeal to Offender': {'support': 1.0, 'confidence': 1.0},
        'Appeal to Judge': {'support': 1.0, 'confidence': 1.0}
    },
    'init': {'Create Fine': {'support': 1.0, 'confidence': 1.0}},
    'response': {
        ('Create Fine', 'Send Fine'): {'support': 1.0, 'confidence': 1.0},
        ('Create Fine', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Fine Notification', 'Add penalty'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Fine Notification', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Add penalty', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Add penalty', 'Send for Credit Collection'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Date Appeal to Prefecture', 'Send Appeal to Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Send Appeal to Prefecture', 'Receive Result Appeal from Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Receive Result Appeal from Prefecture', 'Notify Result Appeal to Offender'): {'support': 1.0, 'confidence': 1.0},
        ('Notify Result Appeal to Offender', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Notify Result Appeal to Offender', 'Appeal to Judge'): {'support': 1.0, 'confidence': 1.0},
        ('Appeal to Judge', 'Payment'): {'support': 1.0, 'confidence': 1.0}
    },
    'precedence': {
        ('Send Fine', 'Create Fine'): {'support': 1.0, 'confidence': 1.0},
        ('Payment', 'Create Fine'): {'support': 1.0, 'confidence': 1.0},
        ('Add penalty', 'Insert Fine Notification'): {'support': 1.0, 'confidence': 1.0},
        ('Payment', 'Insert Fine Notification'): {'support': 1.0, 'confidence': 1.0},
        ('Send for Credit Collection', 'Add penalty'): {'support': 1.0, 'confidence': 1.0},
        ('Send Appeal to Prefecture', 'Insert Date Appeal to Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Receive Result Appeal from Prefecture', 'Send Appeal to Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Notify Result Appeal to Offender', 'Receive Result Appeal from Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Payment', 'Notify Result Appeal to Offender'): {'support': 1.0, 'confidence': 1.0},
        ('Appeal to Judge', 'Notify Result Appeal to Offender'): {'support': 1.0, 'confidence': 1.0},
        ('Payment', 'Appeal to Judge'): {'support': 1.0, 'confidence': 1.0}
    },
    'coexistence': {
        ('Create Fine', 'Send Fine'): {'support': 1.0, 'confidence': 1.0},
        ('Create Fine', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Fine Notification', 'Add penalty'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Fine Notification', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Add penalty', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Add penalty', 'Send for Credit Collection'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Date Appeal to Prefecture', 'Send Appeal to Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Send Appeal to Prefecture', 'Receive Result Appeal from Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Receive Result Appeal from Prefecture', 'Notify Result Appeal to Offender'): {'support': 1.0, 'confidence': 1.0},
        ('Notify Result Appeal to Offender', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Notify Result Appeal to Offender', 'Appeal to Judge'): {'support': 1.0, 'confidence': 1.0},
        ('Appeal to Judge', 'Payment'): {'support': 1.0, 'confidence': 1.0}
    },
    'succession': {
        ('Create Fine', 'Send Fine'): {'support': 1.0, 'confidence': 1.0},
        ('Create Fine', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Fine Notification', 'Add penalty'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Fine Notification', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Add penalty', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Add penalty', 'Send for Credit Collection'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Date Appeal to Prefecture', 'Send Appeal to Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Send Appeal to Prefecture', 'Receive Result Appeal from Prefecture'): {'support': 1.0, 'confidence': 1.0},
        ('Receive Result Appeal from Prefecture', 'Notify Result Appeal to Offender'): {'support': 1.0, 'confidence': 1.0},
        ('Notify Result Appeal to Offender', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Notify Result Appeal to Offender', 'Appeal to Judge'): {'support': 1.0, 'confidence': 1.0},
        ('Appeal to Judge', 'Payment'): {'support': 1.0, 'confidence': 1.0}
    }
}
```

This DECLARE model captures the existence, init, response, precedence, coexistence, and succession constraints for the given process variants. Note that the support and confidence values are set to 1.0 as per the provided instructions. However, in a real-world scenario, these values would be calculated based on the observed event data.