diff --git a/packages/dune/package.py b/packages/dune/package.py
index 88b913d..f7ba28d 100644
--- a/packages/dune/package.py
+++ b/packages/dune/package.py
@@ -100,25 +100,14 @@ class Dune(CMakePackage):
     variant('doc', default=False, description='Build and install documentation')
     variant('python', default=False, description='Build with Python bindings')
 
-    # Variants for upstream dependencies
-    variant('arpack', default=True, description='Build ARnoldi PACKage library support')
-    variant('blas', default=True, description='Build with BLAS support')
-    variant('gmp', default=True, description='Build with GNU multi-precision library support')
-    variant('lapack', default=True, description='Build with LAPACK support')
-    variant('metis', default=True, description='Build with METIS library support')
+    # Variants for upstream dependencies. Note that we are exposing only very
+    # costly upstream dependencies as variants. All other upstream dependencies
+    # are installed unconditionally. This happens in an attempt to limit the total
+    # number of variants of the dune package to a readable amount. An exception
+    # to this rule is ParMETIS, which has a variant because of it's semi-free license.
     variant('parmetis', default=False, description='Build with ParMETIS support')
     variant('petsc', default=False, description='Build with PetSc support')
-    variant('ptscotch', default=True, description='Build with PT-Scotch support')
-    variant('sionlib', default=False, description='Build with SIONlib support')
-    variant('suitesparse', default=True, description='Build SuiteSparse library support')
-    variant('superlu', default=False, description='Build Supernodal LU library support')
     variant('tbb', default=False, description='Build with Intel TBB support')
-    variant('vc', default=False, description='Build C++ Vectorization library support')
-    variant('zlib', default=False, description='Build zlib library support')
-    variant('zoltan', default=False, description='Build with Zoltan support')
-
-    # Some variants that were here that are on my todo list
-    # variant('jupyter', default=False, description='Build with Jupyter support')
 
     # Define one variant for each non-core Dune module that we have.
     for var, res in dune_variants_to_resources.items():
@@ -280,20 +269,20 @@ class Dune(CMakePackage):
     python_components = [ 'dune' ]
 
     # Specify upstream dependencies (often depending on variants)
-    depends_on('arpack-ng', when='+arpack')
+    depends_on('amgx', when='+fem+petsc')
+    depends_on('arpack-ng')
     depends_on('benchmark', when='+codegen')
-    depends_on('blas', when='+blas')
+    depends_on('blas')
     depends_on('cmake@3.1:', type='build')
     depends_on('eigen', when='+fem')
     depends_on('eigen', when='+pdelab')
     depends_on('papi', when='+fem')
     depends_on('doxygen', type='build', when='+doc')
     depends_on('gawk')
-    depends_on('gmp', when='+gmp')
+    depends_on('gmp')
     depends_on('intel-tbb', when='+tbb')
-    depends_on('lapack', when='+lapack')
+    depends_on('lapack')
 #    depends_on('likwid', when='+codegen') likwid cannot be built in spack v0.14.2 due to the lua dependency being broken
-    depends_on('metis', when='+metis')
     depends_on('mpi')
     depends_on('parmetis', when='+parmetis')
     depends_on('petsc', when='+petsc')
@@ -304,13 +293,13 @@ class Dune(CMakePackage):
     depends_on('py-pip', type=('build', 'run'))
     depends_on('py-sphinx', type=('build', 'run'), when='+doc')
     depends_on('py-wheel', type='build')
-    depends_on('scotch+mpi', when='+ptscotch')
+    depends_on('scotch+mpi')
     depends_on('sionlib', when='+sionlib')
-    depends_on('suite-sparse', when='+suitesparse')
-    depends_on('superlu', when='+superlu')
-    depends_on('vc', when='+vc')
-    depends_on('zlib', when='+zlib')
-    depends_on('zoltan', when='+zoltan')
+    depends_on('suite-sparse')
+    depends_on('superlu')
+    depends_on('vc')
+    depends_on('zlib', when='+alugrid')
+    depends_on('zoltan', when='+alugrid')
 
     # Apply patches
     patch('virtualenv_from_envvariable.patch', when='+testtools')