diff --git a/flang/runtime/character.cpp b/flang/runtime/character.cpp
--- a/flang/runtime/character.cpp
+++ b/flang/runtime/character.cpp
@@ -83,10 +83,9 @@
   RUNTIME_CHECK(
       terminator, x.rank() == y.rank() || x.rank() == 0 || y.rank() == 0);
   int rank{std::max(x.rank(), y.rank())};
-  SubscriptValue lb[maxRank], ub[maxRank], xAt[maxRank], yAt[maxRank];
+  SubscriptValue ub[maxRank], xAt[maxRank], yAt[maxRank];
   SubscriptValue elements{1};
   for (int j{0}; j < rank; ++j) {
-    lb[j] = 1;
     if (x.rank() > 0 && y.rank() > 0) {
       SubscriptValue xUB{x.GetDimension(j).Extent()};
       SubscriptValue yUB{y.GetDimension(j).Extent()};
@@ -101,11 +100,15 @@
       ub[j] = (x.rank() ? x : y).GetDimension(j).Extent();
     }
     elements *= ub[j];
-    xAt[j] = yAt[j] = 1;
   }
+  x.GetLowerBounds(xAt);
+  y.GetLowerBounds(yAt);
   result.Establish(
       TypeCategory::Logical, 1, nullptr, rank, ub, CFI_attribute_allocatable);
-  if (result.Allocate(lb, ub) != CFI_SUCCESS) {
+  for (int j{0}; j < rank; ++j) {
+    result.GetDimension(j).SetBounds(1, ub[j]);
+  }
+  if (result.Allocate() != CFI_SUCCESS) {
     terminator.Crash("Compare: could not allocate storage for result");
   }
   std::size_t xChars{x.ElementBytes() >> shift<CHAR>};
@@ -146,18 +149,21 @@
 static void AdjustLRHelper(Descriptor &result, const Descriptor &string,
     const Terminator &terminator) {
   int rank{string.rank()};
-  SubscriptValue lb[maxRank], ub[maxRank], stringAt[maxRank];
+  SubscriptValue ub[maxRank], stringAt[maxRank];
   SubscriptValue elements{1};
   for (int j{0}; j < rank; ++j) {
-    lb[j] = 1;
     ub[j] = string.GetDimension(j).Extent();
     elements *= ub[j];
     stringAt[j] = 1;
   }
+  string.GetLowerBounds(stringAt);
   std::size_t elementBytes{string.ElementBytes()};
   result.Establish(string.type(), elementBytes, nullptr, rank, ub,
       CFI_attribute_allocatable);
-  if (result.Allocate(lb, ub) != CFI_SUCCESS) {
+  for (int j{0}; j < rank; ++j) {
+    result.GetDimension(j).SetBounds(1, ub[j]);
+  }
+  if (result.Allocate() != CFI_SUCCESS) {
     terminator.Crash("ADJUSTL/R: could not allocate storage for result");
   }
   for (SubscriptValue resultAt{0}; elements-- > 0;
@@ -199,17 +205,19 @@
 static void LenTrim(Descriptor &result, const Descriptor &string,
     const Terminator &terminator) {
   int rank{string.rank()};
-  SubscriptValue lb[maxRank], ub[maxRank], stringAt[maxRank];
+  SubscriptValue ub[maxRank], stringAt[maxRank];
   SubscriptValue elements{1};
   for (int j{0}; j < rank; ++j) {
-    lb[j] = 1;
     ub[j] = string.GetDimension(j).Extent();
     elements *= ub[j];
-    stringAt[j] = 1;
   }
+  string.GetLowerBounds(stringAt);
   result.Establish(TypeCategory::Integer, sizeof(INT), nullptr, rank, ub,
       CFI_attribute_allocatable);
-  if (result.Allocate(lb, ub) != CFI_SUCCESS) {
+  for (int j{0}; j < rank; ++j) {
+    result.GetDimension(j).SetBounds(1, ub[j]);
+  }
+  if (result.Allocate() != CFI_SUCCESS) {
     terminator.Crash("LEN_TRIM: could not allocate storage for result");
   }
   std::size_t stringElementChars{string.ElementBytes() >> shift<CHAR>};
@@ -370,21 +378,27 @@
           : arg.rank()   ? arg.rank()
           : back         ? back->rank()
                          : 0};
-  SubscriptValue lb[maxRank], ub[maxRank], stringAt[maxRank], argAt[maxRank],
+  SubscriptValue ub[maxRank], stringAt[maxRank], argAt[maxRank],
       backAt[maxRank];
   SubscriptValue elements{1};
   for (int j{0}; j < rank; ++j) {
-    lb[j] = 1;
     ub[j] = string.rank() ? string.GetDimension(j).Extent()
         : arg.rank()      ? arg.GetDimension(j).Extent()
         : back            ? back->GetDimension(j).Extent()
                           : 1;
     elements *= ub[j];
-    stringAt[j] = argAt[j] = backAt[j] = 1;
+  }
+  string.GetLowerBounds(stringAt);
+  arg.GetLowerBounds(argAt);
+  if (back) {
+    back->GetLowerBounds(backAt);
   }
   result.Establish(TypeCategory::Integer, sizeof(INT), nullptr, rank, ub,
       CFI_attribute_allocatable);
-  if (result.Allocate(lb, ub) != CFI_SUCCESS) {
+  for (int j{0}; j < rank; ++j) {
+    result.GetDimension(j).SetBounds(1, ub[j]);
+  }
+  if (result.Allocate() != CFI_SUCCESS) {
     terminator.Crash("SCAN/VERIFY: could not allocate storage for result");
   }
   std::size_t stringElementChars{string.ElementBytes() >> shift<CHAR>};
@@ -471,7 +485,7 @@
   RUNTIME_CHECK(terminator,
       accumulator.rank() == 0 || x.rank() == 0 ||
           accumulator.rank() == x.rank());
-  SubscriptValue lb[maxRank], ub[maxRank], xAt[maxRank];
+  SubscriptValue ub[maxRank], xAt[maxRank];
   SubscriptValue elements{1};
   std::size_t accumChars{accumulator.ElementBytes() >> shift<CHAR>};
   std::size_t xChars{x.ElementBytes() >> shift<CHAR>};
@@ -480,10 +494,8 @@
       accumChars != chars || (accumulator.rank() == 0 && x.rank() > 0)};
   int rank{std::max(accumulator.rank(), x.rank())};
   for (int j{0}; j < rank; ++j) {
-    lb[j] = 1;
     if (x.rank() > 0) {
       ub[j] = x.GetDimension(j).Extent();
-      xAt[j] = x.GetDimension(j).LowerBound();
       if (accumulator.rank() > 0) {
         SubscriptValue accumExt{accumulator.GetDimension(j).Extent()};
         if (accumExt != ub[j]) {
@@ -495,17 +507,20 @@
       }
     } else {
       ub[j] = accumulator.GetDimension(j).Extent();
-      xAt[j] = 1;
     }
     elements *= ub[j];
   }
+  x.GetLowerBounds(xAt);
   void *old{nullptr};
   const CHAR *accumData{accumulator.OffsetElement<CHAR>()};
   if (reallocate) {
     old = accumulator.raw().base_addr;
     accumulator.set_base_addr(nullptr);
     accumulator.raw().elem_len = chars << shift<CHAR>;
-    RUNTIME_CHECK(terminator, accumulator.Allocate(lb, ub) == CFI_SUCCESS);
+    for (int j{0}; j < rank; ++j) {
+      accumulator.GetDimension(j).SetBounds(1, ub[j]);
+    }
+    RUNTIME_CHECK(terminator, accumulator.Allocate() == CFI_SUCCESS);
   }
   for (CHAR *result{accumulator.OffsetElement<CHAR>()}; elements-- > 0;
        accumData += accumChars, result += chars, x.IncrementSubscripts(xAt)) {
@@ -553,10 +568,9 @@
       accumulator.rank() == 0 || from.rank() == 0 ||
           accumulator.rank() == from.rank());
   int rank{std::max(accumulator.rank(), from.rank())};
-  SubscriptValue lb[maxRank], ub[maxRank], fromAt[maxRank];
+  SubscriptValue ub[maxRank], fromAt[maxRank];
   SubscriptValue elements{1};
   for (int j{0}; j < rank; ++j) {
-    lb[j] = 1;
     if (accumulator.rank() > 0 && from.rank() > 0) {
       ub[j] = accumulator.GetDimension(j).Extent();
       SubscriptValue fromUB{from.GetDimension(j).Extent()};
@@ -571,7 +585,6 @@
           (accumulator.rank() ? accumulator : from).GetDimension(j).Extent();
     }
     elements *= ub[j];
-    fromAt[j] = 1;
   }
   std::size_t oldBytes{accumulator.ElementBytes()};
   void *old{accumulator.raw().base_addr};
@@ -579,12 +592,16 @@
   std::size_t fromBytes{from.ElementBytes()};
   accumulator.raw().elem_len += fromBytes;
   std::size_t newBytes{accumulator.ElementBytes()};
-  if (accumulator.Allocate(lb, ub) != CFI_SUCCESS) {
+  for (int j{0}; j < rank; ++j) {
+    accumulator.GetDimension(j).SetBounds(1, ub[j]);
+  }
+  if (accumulator.Allocate() != CFI_SUCCESS) {
     terminator.Crash(
         "CharacterConcatenate: could not allocate storage for result");
   }
   const char *p{static_cast<const char *>(old)};
   char *to{static_cast<char *>(accumulator.raw().base_addr)};
+  from.GetLowerBounds(fromAt);
   for (; elements-- > 0;
        to += newBytes, p += oldBytes, from.IncrementSubscripts(fromAt)) {
     std::memcpy(to, p, oldBytes);
@@ -601,8 +618,7 @@
   accumulator.set_base_addr(nullptr);
   std::size_t oldLen{accumulator.ElementBytes()};
   accumulator.raw().elem_len += chars;
-  RUNTIME_CHECK(
-      terminator, accumulator.Allocate(nullptr, nullptr) == CFI_SUCCESS);
+  RUNTIME_CHECK(terminator, accumulator.Allocate() == CFI_SUCCESS);
   std::memcpy(accumulator.OffsetElement<char>(oldLen), from, chars);
   FreeMemory(old);
 }
@@ -650,9 +666,10 @@
       for (int j{0}; j < rank; ++j) {
         lhsAt[j] = rhsAt[j];
         ub[j] = rhs.GetDimension(j).UpperBound();
+        lhs.GetDimension(j).SetBounds(lhsAt[j], ub[j]);
       }
     }
-    RUNTIME_CHECK(terminator, lhs.Allocate(lhsAt, ub) == CFI_SUCCESS);
+    RUNTIME_CHECK(terminator, lhs.Allocate() == CFI_SUCCESS);
   }
   switch (lhs.raw().type) {
   case CFI_type_char:
@@ -941,7 +958,7 @@
   std::size_t origBytes{string.ElementBytes()};
   result.Establish(string.type(), origBytes * ncopies, nullptr, 0, nullptr,
       CFI_attribute_allocatable);
-  if (result.Allocate(nullptr, nullptr) != CFI_SUCCESS) {
+  if (result.Allocate() != CFI_SUCCESS) {
     terminator.Crash("REPEAT could not allocate storage for result");
   }
   const char *from{string.OffsetElement()};
@@ -975,7 +992,7 @@
   }
   result.Establish(string.type(), resultBytes, nullptr, 0, nullptr,
       CFI_attribute_allocatable);
-  RUNTIME_CHECK(terminator, result.Allocate(nullptr, nullptr) == CFI_SUCCESS);
+  RUNTIME_CHECK(terminator, result.Allocate() == CFI_SUCCESS);
   std::memcpy(result.OffsetElement(), string.OffsetElement(), resultBytes);
 }
 
diff --git a/flang/runtime/descriptor.h b/flang/runtime/descriptor.h
--- a/flang/runtime/descriptor.h
+++ b/flang/runtime/descriptor.h
@@ -304,9 +304,12 @@
 
   std::size_t Elements() const;
 
+  // Allocate() assumes Elements() and ElementBytes() work;
+  // define the extents of the dimensions and the element length
+  // before calling.  It (re)computes the byte strides after
+  // allocation.
   // TODO: SOURCE= and MOLD=
   int Allocate();
-  int Allocate(const SubscriptValue lb[], const SubscriptValue ub[]);
   int Deallocate(bool finalize = true);
   void Destroy(bool finalize = true) const;
 
diff --git a/flang/runtime/descriptor.cpp b/flang/runtime/descriptor.cpp
--- a/flang/runtime/descriptor.cpp
+++ b/flang/runtime/descriptor.cpp
@@ -148,14 +148,6 @@
   return 0;
 }
 
-int Descriptor::Allocate(const SubscriptValue lb[], const SubscriptValue ub[]) {
-  int result{ISO::CFI_allocate(&raw_, lb, ub, ElementBytes())};
-  if (result == CFI_SUCCESS) {
-    // TODO: derived type initialization
-  }
-  return result;
-}
-
 int Descriptor::Deallocate(bool finalize) {
   Destroy(finalize);
   return ISO::CFI_deallocate(&raw_);
diff --git a/flang/runtime/transformational.cpp b/flang/runtime/transformational.cpp
--- a/flang/runtime/transformational.cpp
+++ b/flang/runtime/transformational.cpp
@@ -364,13 +364,11 @@
       resultRank >= 0 && resultRank <= static_cast<SubscriptValue>(maxRank));
 
   // Extract and check the shape of the result; compute its element count.
-  SubscriptValue lowerBound[maxRank]; // all 1's
   SubscriptValue resultExtent[maxRank];
   std::size_t shapeElementBytes{shape.ElementBytes()};
   std::size_t resultElements{1};
   SubscriptValue shapeSubscript{shape.GetDimension(0).LowerBound()};
   for (SubscriptValue j{0}; j < resultRank; ++j, ++shapeSubscript) {
-    lowerBound[j] = 1;
     resultExtent[j] = GetInt64(
         shape.Element<char>(&shapeSubscript), shapeElementBytes, terminator);
     RUNTIME_CHECK(terminator, resultExtent[j] >= 0);
@@ -434,7 +432,10 @@
     }
   }
   // Allocate storage for the result's data.
-  int status{result->Allocate(lowerBound, resultExtent)};
+  for (int j{0}; j < resultRank; ++j) {
+    result->GetDimension(j).SetBounds(1, resultExtent[j]);
+  }
+  int status{result->Allocate()};
   if (status != CFI_SUCCESS) {
     terminator.Crash("RESHAPE: Allocate failed (error %d)", status);
   }
diff --git a/flang/unittests/Evaluate/reshape.cpp b/flang/unittests/Evaluate/reshape.cpp
--- a/flang/unittests/Evaluate/reshape.cpp
+++ b/flang/unittests/Evaluate/reshape.cpp
@@ -7,7 +7,6 @@
 using namespace Fortran::runtime;
 
 int main() {
-  static const SubscriptValue ones[]{1, 1, 1};
   static const SubscriptValue sourceExtent[]{2, 3, 4};
   auto source{Descriptor::Create(TypeCategory::Integer, sizeof(std::int32_t),
       nullptr, 3, sourceExtent, CFI_attribute_allocatable)};
@@ -16,7 +15,10 @@
   MATCH(sizeof(std::int32_t), source->ElementBytes());
   TEST(source->IsAllocatable());
   TEST(!source->IsPointer());
-  TEST(source->Allocate(ones, sourceExtent) == CFI_SUCCESS);
+  for (int j{0}; j < 3; ++j) {
+    source->GetDimension(j).SetBounds(1, sourceExtent[j]);
+  }
+  TEST(source->Allocate() == CFI_SUCCESS);
   TEST(source->IsAllocated());
   MATCH(2, source->GetDimension(0).Extent());
   MATCH(3, source->GetDimension(1).Extent());
diff --git a/flang/unittests/RuntimeGTest/CharacterTest.cpp b/flang/unittests/RuntimeGTest/CharacterTest.cpp
--- a/flang/unittests/RuntimeGTest/CharacterTest.cpp
+++ b/flang/unittests/RuntimeGTest/CharacterTest.cpp
@@ -30,10 +30,12 @@
 
   OwningPtr<Descriptor> descriptor{Descriptor::Create(sizeof(CHAR), length,
       nullptr, shape.size(), nullptr, CFI_attribute_allocatable)};
-  if ((shape.empty() ? descriptor->Allocate()
-                     : descriptor->Allocate(
-                           std::vector<SubscriptValue>(shape.size(), 1).data(),
-                           shape.data())) != 0) {
+  int rank{static_cast<int>(shape.size())};
+  // Use a weird lower bound of 2 to flush out subscripting bugs
+  for (int j{0}; j < rank; ++j) {
+    descriptor->GetDimension(j).SetBounds(2, shape[j] + 1);
+  }
+  if (descriptor->Allocate() != 0) {
     return nullptr;
   }
 
@@ -245,7 +247,7 @@
     ASSERT_TRUE(x->IsAllocated());
     ASSERT_NE(y, nullptr);
     ASSERT_TRUE(y->IsAllocated());
-    function(*x, *y, /* sourceFile = */ nullptr, /* sourceLine = */ 0);
+    function(*x, *y, __FILE__, __LINE__);
 
     std::size_t length = x->ElementBytes() / sizeof(CHAR);
     for (std::size_t i = 0; i < t.x.size(); ++i) {
@@ -296,8 +298,7 @@
   ASSERT_TRUE(y->IsAllocated());
 
   void *old = x->raw().base_addr;
-  RTNAME(CharacterMin)
-  (*x, *y, /* sourceFile = */ nullptr, /* sourceLine = */ 0);
+  RTNAME(CharacterMin)(*x, *y, __FILE__, __LINE__);
   EXPECT_EQ(old, x->raw().base_addr);
 }