diff --git a/.travis.yml b/.travis.yml
index 807650e..f227974 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -6,6 +6,6 @@ python:
   - "3.7"
   - "3.8"
 install:
-  - pip install tox-travis flake8
+  - pip install tox==3.14.0 tox-travis flake8
 script:
   - tox -r
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 950e9ea..7130f21 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -5,6 +5,9 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/).
 
 ## [Unreleased]
 
+### Added
+- Allow boxes_flow LAParam to be passed as None, validate the input, and update documentation ([#395](https://github.com/pdfminer/pdfminer.six/pull/395))
+
 ### Fixed
 - Updated misleading documentation for `word_margin` and `char_margin` ([#407](https://github.com/pdfminer/pdfminer.six/pull/407))
 - Ignore ValueError when converting font encoding differences ([#389](https://github.com/pdfminer/pdfminer.six/pull/389))
diff --git a/pdfminer/layout.py b/pdfminer/layout.py
index ca17f10..100bf22 100644
--- a/pdfminer/layout.py
+++ b/pdfminer/layout.py
@@ -48,7 +48,9 @@ class LAParams:
     :param boxes_flow: Specifies how much a horizontal and vertical position
         of a text matters when determining the order of text boxes. The value
         should be within the range of -1.0 (only horizontal position
-        matters) to +1.0 (only vertical position matters).
+        matters) to +1.0 (only vertical position matters). You can also pass
+        `None` to disable advanced layout analysis, and instead return text
+        based on the position of the bottom left corner of the text box.
     :param detect_vertical: If vertical text should be considered during
         layout analysis
     :param all_texts: If layout analysis should be performed on text in
@@ -70,8 +72,20 @@ class LAParams:
         self.boxes_flow = boxes_flow
         self.detect_vertical = detect_vertical
         self.all_texts = all_texts
+
+        self._validate()
         return
 
+    def _validate(self):
+        if self.boxes_flow is not None:
+            boxes_flow_err_msg = ("LAParam boxes_flow should be None, or a "
+                                  "number between -1 and +1")
+            if not (isinstance(self.boxes_flow, int) or
+                    isinstance(self.boxes_flow, float)):
+                raise TypeError(boxes_flow_err_msg)
+            if not -1 <= self.boxes_flow <= 1:
+                raise ValueError(boxes_flow_err_msg)
+
     def __repr__(self):
         return '<LAParams: char_margin=%.1f, line_margin=%.1f, ' \
                'word_margin=%.1f all_texts=%r>' % \
@@ -783,21 +797,20 @@ class LTLayoutContainer(LTContainer):
         for obj in empties:
             obj.analyze(laparams)
         textboxes = list(self.group_textlines(laparams, textlines))
-        if -1 <= laparams.boxes_flow and laparams.boxes_flow <= +1 \
-                and textboxes:
-            self.groups = self.group_textboxes(laparams, textboxes)
-            assigner = IndexAssigner()
-            for group in self.groups:
-                group.analyze(laparams)
-                assigner.run(group)
-            textboxes.sort(key=lambda box: box.index)
-        else:
+        if laparams.boxes_flow is None:
             def getkey(box):
                 if isinstance(box, LTTextBoxVertical):
                     return (0, -box.x1, box.y0)
                 else:
                     return (1, box.y0, box.x0)
             textboxes.sort(key=getkey)
+        else:
+            self.groups = self.group_textboxes(laparams, textboxes)
+            assigner = IndexAssigner()
+            for group in self.groups:
+                group.analyze(laparams)
+                assigner.run(group)
+            textboxes.sort(key=lambda box: box.index)
         self._objs = textboxes + otherobjs + empties
         return
 
diff --git a/tools/pdf2txt.py b/tools/pdf2txt.py
index 4313f15..7e6f9d7 100755
--- a/tools/pdf2txt.py
+++ b/tools/pdf2txt.py
@@ -120,7 +120,10 @@ def maketheparser():
         help="Specifies how much a horizontal and vertical position of a "
              "text matters when determining the order of lines. The value "
              "should be within the range of -1.0 (only horizontal position "
-             "matters) to +1.0 (only vertical position matters).")
+             "matters) to +1.0 (only vertical position matters). You can also "
+             "pass `None` to disable advanced layout analysis, and instead "
+             "return text based on the position of the bottom left corner of "
+             "the text box.")
     la_params.add_argument(
         "--all-texts", "-A", default=False, action="store_true",
         help="If layout analysis should be performed on text in figures.")