diff --git a/core/modules/responsive_image/responsive_image.post_update.php b/core/modules/responsive_image/responsive_image.post_update.php
new file mode 100644
index 0000000..d6767f7
--- /dev/null
+++ b/core/modules/responsive_image/responsive_image.post_update.php
@@ -0,0 +1,32 @@
+<?php
+
+/**
+ * @file
+ * Post update functions for Responsive Image.
+ */
+
+use Drupal\Core\Entity\Display\EntityViewDisplayInterface;
+use Drupal\Core\Entity\Entity\EntityViewDisplay;
+
+/**
+ * @addtogroup updates-8.1.x
+ * @{
+ */
+
+/**
+ * Make responsive image formatters dependent on responsive image styles.
+ */
+function responsive_image_post_update_recreate_dependencies() {
+  $displays = EntityViewDisplay::loadMultiple();
+  array_walk($displays, function(EntityViewDisplayInterface $entity_view_display) {
+    $old_dependencies = $entity_view_display->getDependencies();
+    $new_dependencies = $entity_view_display->calculateDependencies()->getDependencies();
+    if ($old_dependencies !== $new_dependencies) {
+      $entity_view_display->save();
+    }
+  });
+}
+
+/**
+ * @} End of "addtogroup updates-8.1.x".
+ */
diff --git a/core/modules/responsive_image/src/Plugin/Field/FieldFormatter/ResponsiveImageFormatter.php b/core/modules/responsive_image/src/Plugin/Field/FieldFormatter/ResponsiveImageFormatter.php
index b91ef18..ff91e68 100644
--- a/core/modules/responsive_image/src/Plugin/Field/FieldFormatter/ResponsiveImageFormatter.php
+++ b/core/modules/responsive_image/src/Plugin/Field/FieldFormatter/ResponsiveImageFormatter.php
@@ -10,6 +10,7 @@
 use Drupal\Core\Plugin\ContainerFactoryPluginInterface;
 use Drupal\Core\Url;
 use Drupal\image\Plugin\Field\FieldFormatter\ImageFormatterBase;
+use Drupal\responsive_image\Entity\ResponsiveImageStyle;
 use Symfony\Component\DependencyInjection\ContainerInterface;
 use Drupal\Core\Session\AccountInterface;
 use Drupal\Core\Utility\LinkGeneratorInterface;
@@ -247,4 +248,18 @@ public function viewElements(FieldItemListInterface $items, $langcode) {
     return $elements;
   }
 
+  /**
+   * {@inheritdoc}
+   */
+  public function calculateDependencies() {
+    $dependencies = parent::calculateDependencies();
+    $style_id = $this->getSetting('responsive_image_style');
+    /** @var \Drupal\responsive_image\ResponsiveImageStyleInterface $style */
+    if ($style_id && $style = ResponsiveImageStyle::load($style_id)) {
+      // Add the responsive image style as dependency.
+      $dependencies[$style->getConfigDependencyKey()][] = $style->getConfigDependencyName();
+    }
+    return $dependencies;
+  }
+
 }
diff --git a/core/modules/responsive_image/src/Tests/Update/ResponsiveImageUpdateTest.php b/core/modules/responsive_image/src/Tests/Update/ResponsiveImageUpdateTest.php
new file mode 100644
index 0000000..044d2dd
--- /dev/null
+++ b/core/modules/responsive_image/src/Tests/Update/ResponsiveImageUpdateTest.php
@@ -0,0 +1,82 @@
+<?php
+
+/**
+ * @file
+ * Contains \Drupal\responsive_image\Tests\Update\ResponsiveImageUpdateTest.
+ */
+
+namespace Drupal\responsive_image\Tests\Update;
+
+use Drupal\Component\Serialization\Yaml;
+use Drupal\Core\Entity\Entity\EntityViewDisplay;
+use Drupal\system\Tests\Update\UpdatePathTestBase;
+
+/**
+ * Tests responsive image module updates.
+ *
+ * @group responsive_image
+ */
+class ResponsiveImageUpdateTest extends UpdatePathTestBase {
+
+  /**
+   * {@inheritdoc}
+   */
+  public function setDatabaseDumpFiles() {
+    $this->databaseDumpFiles = [
+      __DIR__ . '/../../../../system/tests/fixtures/update/drupal-8-rc1.bare.standard.php.gz',
+    ];
+  }
+
+  /**
+   * {@inheritdoc}
+   */
+  protected function setUp() {
+    parent::setUp();
+
+    /** @var \Drupal\Core\State\StateInterface $state */
+    $state = $this->container->get('state');
+
+    // Enable responsive_image module without using the module installer to
+    // avoid installation of configuration shipped in module.
+    $system_module_files = $state->get('system.module.files', []);
+    $system_module_files += ['responsive_image' => 'core/modules/responsive_image/responsive_image.info.yml'];
+    $state->set('system.module.files', $system_module_files);
+    $this->config('core.extension')->set('module.responsive_image', 0)->save();
+    $this->container->get('module_handler')->addModule('responsive_image', 'core/modules/responsive_image');
+  }
+
+  /**
+   * Tests post-update responsive_image_post_update_dependency().
+   *
+   * @see responsive_image_post_update_dependency()
+   */
+  public function testPostUpdateDependency() {
+    // Installing the 'wide' responsive image style.
+    $wide_image_style = Yaml::decode(file_get_contents(__DIR__ . '/../../../../../profiles/standard/config/optional/responsive_image.styles.wide.yml'));
+    $this->config('responsive_image.styles.wide')->setData($wide_image_style)->save(TRUE);
+
+    // Change 'field_image' formatter to a responsive image formatter.
+    $options = [
+      'type' => 'responsive_image',
+      'label' => 'hidden',
+      'settings' => ['responsive_image_style' => 'wide', 'image_link' => ''],
+      'third_party_settings' => [],
+    ];
+    $display = $this->config('core.entity_view_display.node.article.default');
+    $display->set('content.field_image', $options)->save(TRUE);
+
+    // Check that there's no dependency to 'responsive_image.styles.wide'.
+    $dependencies = $display->get('dependencies.config') ?: [];
+    $this->assertFalse(in_array('responsive_image.styles.wide', $dependencies));
+
+    // Run updates.
+    $this->runUpdates();
+
+    /** @var \Drupal\Core\Entity\Display\EntityViewDisplayInterface $view_display */
+    $view_display = EntityViewDisplay::load('node.article.default');
+    $dependencies = $view_display->getDependencies() + ['config' => []];
+    // Check that post-update added a 'responsive_image.styles.wide' dependency.
+    $this->assertTrue(in_array('responsive_image.styles.wide', $dependencies['config']));
+  }
+
+}
diff --git a/core/modules/responsive_image/tests/src/Kernel/ResponsiveImageIntegrationTest.php b/core/modules/responsive_image/tests/src/Kernel/ResponsiveImageIntegrationTest.php
new file mode 100644
index 0000000..1a219e5
--- /dev/null
+++ b/core/modules/responsive_image/tests/src/Kernel/ResponsiveImageIntegrationTest.php
@@ -0,0 +1,77 @@
+<?php
+
+/**
+ * @file
+ * Contains \Drupal\Tests\responsive_image\Kernel\ResponsiveImageIntegration.
+ */
+
+namespace Drupal\Tests\responsive_image\Kernel;
+
+use Drupal\Core\Entity\Entity\EntityViewDisplay;
+use Drupal\field\Entity\FieldConfig;
+use Drupal\field\Entity\FieldStorageConfig;
+use Drupal\KernelTests\KernelTestBase;
+use Drupal\responsive_image\Entity\ResponsiveImageStyle;
+
+/**
+ * Tests the integration of responsive image with other components.
+ *
+ * @group responsive_image
+ */
+class ResponsiveImageIntegrationTest extends KernelTestBase {
+
+  /**
+   * {@inheritdoc}
+   */
+  public static $modules = ['responsive_image', 'field', 'image', 'file', 'entity_test', 'breakpoint', 'responsive_image_test_module'];
+
+  /**
+   * Tests integration with entity view display.
+   */
+  public function testEntityViewDisplayDependency() {
+    // Create a responsive image style.
+    ResponsiveImageStyle::create([
+      'id' => 'foo',
+      'label' => 'Foo',
+      'breakpoint_group' => 'responsive_image_test_module',
+    ])->save();
+    // Create an image field to be used with a responsive image formatter.
+    FieldStorageConfig::create([
+      'type' => 'image',
+      'entity_type' => 'entity_test',
+      'field_name' => 'bar',
+    ])->save();
+    FieldConfig::create([
+      'entity_type' => 'entity_test',
+      'bundle' => 'entity_test',
+      'field_name' => 'bar',
+    ])->save();
+    /** @var \Drupal\Core\Entity\Display\EntityViewDisplayInterface $display */
+    $display = EntityViewDisplay::create([
+      'targetEntityType' => 'entity_test',
+      'bundle' => 'entity_test',
+      'mode' => 'default',
+    ]);
+    $display->setComponent('bar', [
+      'type' => 'responsive_image',
+      'label' => 'hidden',
+      'settings' => ['responsive_image_style' => 'foo', 'image_link' => ''],
+      'third_party_settings' => [],
+    ])->save();
+
+    // Check that the 'foo' field is on the display.
+    $this->assertNotNull($display = EntityViewDisplay::load('entity_test.entity_test.default'));
+    $this->assertTrue($display->getComponent('bar'));
+    $this->assertFalse(array_key_exists('bar', $display->get('hidden')));
+
+    // Delete the responsive image style.
+    ResponsiveImageStyle::load('foo')->delete();
+
+    // Check that the view display was not deleted.
+    $this->assertNotNull($display = EntityViewDisplay::load('entity_test.entity_test.default'));
+    // Check that the 'foo' field was disabled.
+    $this->assertNull($display->getComponent('bar'));
+    $this->assertTrue(array_key_exists('bar', $display->get('hidden')));
+  }
+
+}