diff --git a/petab/parameters.py b/petab/parameters.py
index f794530..8dbf441 100644
--- a/petab/parameters.py
+++ b/petab/parameters.py
@@ -55,18 +55,8 @@ def get_parameter_df(
             return None
 
         parameter_df = pd.concat(dfs)
-        # Remove identical parameter definitions
-        parameter_df.drop_duplicates(inplace=True, ignore_index=False)
         # Check for contradicting parameter definitions
-        parameter_duplicates = set(parameter_df.index.values[
-                                       parameter_df.index.duplicated()])
-        if parameter_duplicates:
-            raise ValueError(
-                f'The values of {PARAMETER_ID} must be unique or'
-                ' identical between all parameter subset files. The'
-                ' following duplicates were found:\n'
-                f'{parameter_duplicates}'
-            )
+        _check_for_contradicting_parameter_definitions(parameter_df)
 
         return parameter_df
 
@@ -81,10 +71,24 @@ def get_parameter_df(
     except KeyError as e:
         raise KeyError(
             f"Parameter table missing mandatory field {PARAMETER_ID}.") from e
+    _check_for_contradicting_parameter_definitions(parameter_df)
 
     return parameter_df
 
 
+def _check_for_contradicting_parameter_definitions(parameter_df: pd.DataFrame):
+    """
+    Raises a ValueError for non-unique parameter IDs
+    """
+    parameter_duplicates = set(parameter_df.index.values[
+                                    parameter_df.index.duplicated()])
+    if parameter_duplicates:
+        raise ValueError(
+            f'The values of `{PARAMETER_ID}` must be unique. The '
+            f'following duplicates were found:\n{parameter_duplicates}'
+        )
+
+
 def write_parameter_df(df: pd.DataFrame, filename: Union[str, Path]) -> None:
     """Write PEtab parameter table
 

diff --git a/tests/test_parameters.py b/tests/test_parameters.py
index 1727a73..5527133 100644
--- a/tests/test_parameters.py
+++ b/tests/test_parameters.py
@@ -81,11 +81,11 @@ def test_get_parameter_df():
             PARAMETER_ID: ['id3'],
             PARAMETER_NAME: ['name3']
         })
-        parameter_dfs['subset2_overlap'] = pd.DataFrame(data={
+        parameter_dfs['subset2_redundance'] = pd.DataFrame(data={
             PARAMETER_ID: ['id2', 'id3'],
             PARAMETER_NAME: ['name2', 'name3']
         })
-        parameter_dfs['subset2_error'] = pd.DataFrame(data={
+        parameter_dfs['subset2_contradiction'] = pd.DataFrame(data={
             PARAMETER_ID: ['id2', 'id3'],
             PARAMETER_NAME: ['different_name2', 'name3']
         })
@@ -98,15 +98,52 @@ def test_get_parameter_df():
         assert(petab.get_parameter_df(parameter_files['complete']).equals(
             petab.get_parameter_df([parameter_files['subset1'],
                                     parameter_files['subset2_strict']])))
-        # Check that identical parameter definitions are correctly combined
-        assert(petab.get_parameter_df(parameter_files['complete']).equals(
-            petab.get_parameter_df([parameter_files['subset1'],
-                                    parameter_files['subset2_overlap']])))
         # Ensure an error is raised if there exist parameterId duplicates
+        # with identical parameter definitions
+        with pytest.raises(ValueError):
+            petab.get_parameter_df(
+                [parameter_files["subset1"],
+                 parameter_files["subset2_redundance"]]
+            )
         # with non-identical parameter definitions
         with pytest.raises(ValueError):
-            petab.get_parameter_df([parameter_files['subset1'],
-                                    parameter_files['subset2_error']])
+            petab.get_parameter_df(
+                [parameter_files["subset1"],
+                 parameter_files["subset2_contradiction"],
+                 ]
+            )
+
+    # Ensure that parameters that differ only by parameterId
+    # are recognized as distinct
+    with tempfile.TemporaryDirectory() as directory:
+        parameter_dfs, parameter_files = ({}, {})
+        parameter_dfs["complete"] = pd.DataFrame(
+            data={
+                PARAMETER_ID: ["id1", "id2", "id3", "id4"],
+                NOMINAL_VALUE: [1, 1, 1, 1],
+            }
+        )
+        parameter_dfs["subset1"] = pd.DataFrame(
+            data={PARAMETER_ID: ["id1", "id2"], NOMINAL_VALUE: [1, 1]}
+        )
+        parameter_dfs["subset2"] = pd.DataFrame(
+            data={PARAMETER_ID: ["id3", "id4"], NOMINAL_VALUE: [1, 1]}
+        )
+        for name, df in parameter_dfs.items():
+            with tempfile.NamedTemporaryFile(
+                mode="w", delete=False, dir=directory
+            ) as fh:
+                parameter_files[name] = fh.name
+                parameter_dfs[name].to_csv(fh, sep="\t", index=False)
+        # from one parameter file
+        df_template = parameter_dfs["complete"].set_index(PARAMETER_ID)
+        df_test = petab.get_parameter_df(parameter_files["complete"])
+        assert (df_template == df_test).all().all()
+        # several parameter files
+        assert petab.get_parameter_df(parameter_files["complete"]).equals(
+            petab.get_parameter_df([parameter_files["subset1"],
+                                    parameter_files["subset2"]])
+        )
 
 
 def test_write_parameter_df():

Parameters dropped when using subset parameter files
On branch `develop`: When supplying multiple parameter files to `parameters.get_parameter_df`, parameters will be dropped if they only differ from other parameters by their `parameterId`.
___
Example using parameter files from [demo_parameters.zip](https://github.com/PEtab-dev/libpetab-python/files/8893550/demo_parameters.zip):
```python
import petab
import pandas as pd

fp_params_1 = 'demo_parameters_1.tsv'
fp_params_2 = 'demo_parameters_2.tsv'

df = petab.parameters.get_parameter_df([fp_params_1, fp_params_2])
print(df.index.values)
```
Expected output:
```['id11' 'id12' 'id13' 'id21' 'id22']```

Actual output using `develop` at 5a87f8370aa5be56ed39b986801e7e36b18d94cb:
``` ['id11' 'id21' 'id22'] ```






tests/test_parameters.py::test_get_parameter_df
tests/test_parameters.py::test_get_optimization_parameter_scaling tests/test_parameters.py::test_get_optimization_parameters tests/test_parameters.py::test_write_parameter_df tests/test_parameters.py::test_normalize_parameter_df tests/test_parameters.py::test_scale_unscale