diff --git a/src/amdis/Marker.hpp b/src/amdis/Marker.hpp
index 2941248b0e2715b2ae89a40d22f0b05196365a21..fc346c79687c30e1da5a111885cade954cfa3f49 100644
--- a/src/amdis/Marker.hpp
+++ b/src/amdis/Marker.hpp
@@ -121,10 +121,10 @@ namespace AMDiS
     int elMarkCoarsen_ = 0;
 
     /// Maximal level of all elements.
-    int maxRefineLevel_ = -1;
+    int maxRefineLevel_ = std::numeric_limits<int>::max();
 
     /// Minimal level of all elements.
-    int minRefineLevel_ = -1;
+    int minRefineLevel_ = 0;
 
     /// Allow elements to be marked for refinement
     bool refineAllowed_ = true;
@@ -380,18 +380,10 @@ namespace AMDiS
   public:
     /// Constructor.
     template <class GF>
-    GridFunctionMarker(std::string const& name, std::shared_ptr<Grid> const& grid, GF&& gf,
-                       Dune::Std::optional<int> maxRef = { /*max*/ },
-                       Dune::Std::optional<int> minRef = { /*0*/ })
+    GridFunctionMarker(std::string const& name, std::shared_ptr<Grid> const& grid, GF&& gf)
       : Super{name, grid}
       , gridFct_{makeGridFunction(std::forward<GF>(gf), grid->leafGridView())}
-    {
-      
-      this->maxRefineLevel_ = maxRef ? maxRef.value() : 
-        (this->maxRefineLevel_ == -1 ? std::numeric_limits<int>::max() : this->maxRefineLevel_);
-      this->minRefineLevel_ = minRef ? minRef.value() : 
-        (this->minRefineLevel_ == -1 ? 0 : this->minRefineLevel_);
-    }
+    {}
 
     /// \brief Implementation of \ref Marker::markElement. Does nothing since marking is
     /// done in \ref markGrid().
@@ -411,9 +403,7 @@ namespace AMDiS
   // Deduction guide for GridFunctionMarker class
   template <class Grid, class PreGridFct>
   GridFunctionMarker(std::string const& name, std::shared_ptr<Grid> const& grid,
-                     PreGridFct&& preGridFct,
-                     Dune::Std::optional<int> maxRef = {},
-                     Dune::Std::optional<int> minRef = {})
+                     PreGridFct&& preGridFct)
     -> GridFunctionMarker<Grid,
           std::decay_t<decltype(makeGridFunction(std::forward<PreGridFct>(preGridFct), grid->leafGridView()))>>;
 #endif
@@ -421,13 +411,11 @@ namespace AMDiS
   // Generator function for GridFunctionMarker class
   template <class Grid, class PreGridFct>
   auto makeGridFunctionMarker(std::string const& name, std::shared_ptr<Grid> const& grid,
-                              PreGridFct&& preGridFct,
-                              Dune::Std::optional<int> maxRef = { /*max*/ },
-                              Dune::Std::optional<int> minRef = { /*0*/ })
+                              PreGridFct&& preGridFct)
   {
     auto gridFct = makeGridFunction(std::forward<PreGridFct>(preGridFct), grid->leafGridView());
     using GridFct = decltype(gridFct);
-    return GridFunctionMarker<Grid,GridFct>{name, grid, gridFct, maxRef, minRef};
+    return GridFunctionMarker<Grid,GridFct>{name, grid, gridFct};
   }
 
 } // end namespace AMDiS