diff --git a/demo/js/ml-datasets.js b/demo/js/ml-datasets.js
index 454ed7d1..8c9aeae9 100644
--- a/demo/js/ml-datasets.js
+++ b/demo/js/ml-datasets.js
@@ -380,7 +380,7 @@ const testVisibility = () => {
 
 const testGlobalVisibility = () => {
   setTimeout(() => datasetsPlugin.setDatasetVisibility(false), 1000)
-  setTimeout(() => datasetsPlugin.setDatasetVisibility(true), 2000)
+  setTimeout(() => datasetsPlugin.setDatasetVisibility(true), 10000)
   // setTimeout(() => datasetsPlugin.setDatasetVisibility(true, { datasetId: 'hedge-control' }), 500)
   // setTimeout(() => datasetsPlugin.setStyle({ stroke: { outdoor: '#0000ff' }, }, { datasetId: 'hedge-control' }), 2000)
 }
@@ -472,10 +472,10 @@ interactiveMap.on('datasets:ready', function () {
   // testGetters()
   // testInvalidApiCalls()
   // testFeatureVisibility()
-  testSetOpacity()
+  // testSetOpacity()
   // testSetStyle()
   // testVisibility()
-  // testGlobalVisibility()
+  testGlobalVisibility()
   // testRemoveAndAddDataset()
   // testSetData()
 })
diff --git a/plugins/beta/datasets/src/DatasetsInit.jsx b/plugins/beta/datasets/src/DatasetsInit.jsx
index cc9df73f..23dc49e8 100755
--- a/plugins/beta/datasets/src/DatasetsInit.jsx
+++ b/plugins/beta/datasets/src/DatasetsInit.jsx
@@ -84,6 +84,7 @@ export function DatasetsInit ({ pluginConfig, pluginState, appState, mapState, m
 
   useLayerAdapterActions('applyStyle', dispatch, pluginState, [pluginState.layerAdapterActions.applyStyle])
   useLayerAdapterActions('applyDatasetVisibility', dispatch, pluginState, [pluginState.layerAdapterActions.applyDatasetVisibility])
+  useLayerAdapterActions('applyGlobalVisibility', dispatch, pluginState, [pluginState.layerAdapterActions.applyGlobalVisibility])
   useLayerAdapterActions('applyDatasetOpacity', dispatch, pluginState, [pluginState.layerAdapterActions.applyDatasetOpacity])
   useLayerAdapterActions('applyGlobalOpacity', dispatch, pluginState, [pluginState.layerAdapterActions.applyGlobalOpacity])
   useLayerAdapterActions('addDataset', dispatch, pluginState, [pluginState.layerAdapterActions.addDataset])
diff --git a/plugins/beta/datasets/src/adapters/maplibre/datasets/mapLibreDataset.js b/plugins/beta/datasets/src/adapters/maplibre/datasets/mapLibreDataset.js
index e52726c3..1689acba 100644
--- a/plugins/beta/datasets/src/adapters/maplibre/datasets/mapLibreDataset.js
+++ b/plugins/beta/datasets/src/adapters/maplibre/datasets/mapLibreDataset.js
@@ -68,6 +68,10 @@ export class MapLibreDataset extends Dataset {
     return response
   }
 
+  getLayersWithVisibility () {
+    return this.getLayersWithValue('visibility')
+  }
+
   getLayersWithOpacity () {
     return this.getLayersWithValue('opacity')
   }
diff --git a/plugins/beta/datasets/src/adapters/maplibre/datasets/mapLibreDataset.test.js b/plugins/beta/datasets/src/adapters/maplibre/datasets/mapLibreDataset.test.js
index 5b6b75b8..807df7d3 100644
--- a/plugins/beta/datasets/src/adapters/maplibre/datasets/mapLibreDataset.test.js
+++ b/plugins/beta/datasets/src/adapters/maplibre/datasets/mapLibreDataset.test.js
@@ -104,6 +104,20 @@ describe('MapLibreDataset', () => {
     })
   })
 
+  describe('getLayersWithVisibility', () => {
+    it('returns layerIds and visibility for a layer with sublayers', () => {
+      const registryDataset = datasetRegistry.getDataset('land-covers')
+      const layersWithVisibility = registryDataset.getLayersWithVisibility()
+      expect(layersWithVisibility).toEqual([
+        { layerIds: ['land-covers-130-131', 'land-covers-130-131-stroke'], visibility: 'visible' },
+        { layerIds: ['land-covers-332', 'land-covers-332-stroke'], visibility: 'visible' },
+        { layerIds: ['land-covers-110', 'land-covers-110-stroke'], visibility: 'visible' },
+        { layerIds: ['land-covers-379', 'land-covers-379-stroke'], visibility: 'none' },
+        { layerIds: ['land-covers-other', 'land-covers-other-stroke'], visibility: 'visible' }
+      ])
+    })
+  })
+
   describe('getLayersWithOpacity', () => {
     it('returns layerIds and opacity for a sublayer with no sublayers', () => {
       const dataset = datasetRegistry.getDataset('existing-fields')
diff --git a/plugins/beta/datasets/src/adapters/maplibre/maplibreLayerAdapter.js b/plugins/beta/datasets/src/adapters/maplibre/maplibreLayerAdapter.js
index 52083131..68cef5d3 100644
--- a/plugins/beta/datasets/src/adapters/maplibre/maplibreLayerAdapter.js
+++ b/plugins/beta/datasets/src/adapters/maplibre/maplibreLayerAdapter.js
@@ -289,28 +289,34 @@ export default class MaplibreLayerAdapter {
     })
   }
 
+  /**
+   * Apply visibility for all layers with datasetId
+   * @param {string} datasetId
+   */
   applyDatasetVisibility (datasetId) {
     const registryDataset = datasetRegistry.getDataset(datasetId)
-    const style = this._map.getStyle()
-    if (!style?.layers) {
-      return
-    }
-    // Covers base fill layer (datasetId) and all suffixed layers
-    // (-stroke, -${sublayerId}, -${sublayerId}-stroke) without needing the dataset object.
-    if (registryDataset.hasSublayers) {
-      const { sublayerIds } = registryDataset
-      sublayerIds.forEach(sublayerId => { this.applyDatasetVisibility(sublayerId) })
-    } else {
-      const { visibility } = registryDataset
-      const datasetId = registryDataset.id
-      style.layers.filter(layer =>
-        layer.id === datasetId || layer.id.startsWith(`${datasetId}-`)
-      ).forEach(layer => {
-        this._map.setLayoutProperty(layer.id, 'visibility', visibility)
-      })
+    if (registryDataset) {
+      this._applyRegistryDatasetVisibility(registryDataset)
     }
   }
 
+  /**
+   * Apply visibility for all layers belonging to a registryDataset.
+   * @param {Object} registryDataset
+   */
+  _applyRegistryDatasetVisibility (registryDataset) {
+    registryDataset.getLayersWithVisibility().forEach(({ layerIds, visibility }) => {
+      layerIds.forEach(layerId => this._map.setLayoutProperty(layerId, 'visibility', visibility))
+    })
+  }
+
+  /**
+   * Apply visibility for all layers
+   */
+  applyGlobalVisibility () {
+    datasetRegistry.forEachDataset(registryDataset => this._applyRegistryDatasetVisibility(registryDataset))
+  }
+
   _applyFeatureFilter (registryDataset) {
     const layersWithFilters = registryDataset.getLayersWithFilters()
     layersWithFilters.forEach(({ layerIds, filter }) => {
diff --git a/plugins/beta/datasets/src/components/menu/LayersMenuCheckbox.jsx b/plugins/beta/datasets/src/components/menu/LayersMenuCheckbox.jsx
index 05d462c8..dc3e5164 100644
--- a/plugins/beta/datasets/src/components/menu/LayersMenuCheckbox.jsx
+++ b/plugins/beta/datasets/src/components/menu/LayersMenuCheckbox.jsx
@@ -7,7 +7,6 @@ export const LayersMenuCheckbox = ({ menuGroupItem, onChange }) => {
   }
   const datasetId = registryDataset.isSublayer ? registryDataset.parentId : registryDataset.id
   const sublayerId = registryDataset.isSublayer ? registryDataset.id : undefined
-
   const itemClass = `im-c-datasets-layers__item govuk-checkboxes govuk-checkboxes--small${registryDataset.visible ? '' : ' im-c-datasets-layers__item--checked'}`
   return (
     <div key={registryDataset.id} className={itemClass} data-module='govuk-checkboxes'>
@@ -20,7 +19,7 @@ export const LayersMenuCheckbox = ({ menuGroupItem, onChange }) => {
           name='layers'
           type='checkbox'
           value={registryDataset.id}
-          checked={registryDataset.visible}
+          checked={registryDataset.isLocallyVisible}
           onChange={onChange}
         />
         <label className='im-c-datasets-layers__item-label govuk-label govuk-checkboxes__label' htmlFor={registryDataset.id}>
diff --git a/plugins/beta/datasets/src/panels/Layers.module.scss b/plugins/beta/datasets/src/panels/Layers.module.scss
index c8d5a813..f228b37a 100644
--- a/plugins/beta/datasets/src/panels/Layers.module.scss
+++ b/plugins/beta/datasets/src/panels/Layers.module.scss
@@ -79,3 +79,7 @@
 .im-c-datasets-layers-group:first-child .im-c-datasets-layers-group__legend {
   padding-top: 0;
 }
+
+.im-c-datasets-layers .govuk-checkboxes__input[aria-disabled="true"] + .govuk-checkboxes__label {
+  opacity: 0.5;
+}
diff --git a/plugins/beta/datasets/src/reducer.js b/plugins/beta/datasets/src/reducer.js
index bb49c00e..244c2c8a 100755
--- a/plugins/beta/datasets/src/reducer.js
+++ b/plugins/beta/datasets/src/reducer.js
@@ -19,6 +19,7 @@ const initialState = {
   layerAdapterActions: {
     applyStyle: [],
     applyDatasetVisibility: [],
+    applyGlobalVisibility: [],
     applyDatasetOpacity: [],
     applyGlobalOpacity: [],
     addDataset: [],
@@ -108,10 +109,12 @@ const setDatasetVisibility = (state, payload) => {
 }
 
 const setGlobalVisibility = (state, payload) => {
-  const { visibility } = payload
+  const { visible } = payload
+  const applyGlobalVisibility = [...state.layerAdapterActions.applyGlobalVisibility, [visible]]
   return {
     ...state,
-    globals: { ...state.globals, visible: visibility !== 'hidden' }
+    layerAdapterActions: { ...state.layerAdapterActions, applyGlobalVisibility },
+    globals: { ...state.globals, visible }
   }
 }
 
diff --git a/plugins/beta/datasets/src/registry/dataset.js b/plugins/beta/datasets/src/registry/dataset.js
index e7f9a325..9a431f87 100644
--- a/plugins/beta/datasets/src/registry/dataset.js
+++ b/plugins/beta/datasets/src/registry/dataset.js
@@ -2,7 +2,7 @@ import { datasetRegistry } from './datasetRegistry.js'
 import { hasCustomVisualStyle } from '../defaults.js'
 import { hasPattern } from '../../../../../src/utils/patternUtils.js'
 import { DynamicGeoJson } from './dynamicGeoJson.js'
-import { calculateOpacity } from './globalDataset.js'
+import { calculateOpacity, getGlobalVisibility } from './globalDataset.js'
 
 export class Dataset {
   constructor (dataset) {
@@ -25,6 +25,7 @@ export class Dataset {
   get maxZoom () { return this._datasetDefinition.maxZoom || this.parent?.maxZoom }
   get showInKey () { return this._datasetDefinition.showInKey || this.parent?.showInKey || false }
   get groupLabel () { return this._datasetDefinition.groupLabel }
+
   get opacity () {
     const myOpacity = this.style?.opacity
     const parentOpacity = this.parent?.style?.opacity
@@ -50,11 +51,32 @@ export class Dataset {
     return null // TODO - implement filter construction for esri and openLayers adapters
   }
 
+  // Returns true if either the parent (if it has one) or global visibility is hidden , otherwise returns true.
+  // This is used to determine whether to show a tooltip
+  // TODO: also work out how to convey datasets hidden by zoom filter.
+  get isHiddenByInheritance () {
+    if (this.isSublayer) {
+      return !this.parent?.visible
+    }
+    return !getGlobalVisibility()
+  }
+
+  // Returns true if this dataset is visible based on its own visibility setting,
+  // even if globalVisibility is false or its parent is not visible.
+  // This is used to determine whether the dataset is rendered as checked when
+  // disabled in the layers menu.
+  get isLocallyVisible () {
+    if (this.isVisible) {
+      return true
+    }
+    return this._datasetDefinition.visible
+  }
+
   get visible () {
     if (this.isSublayer) {
       return this._datasetDefinition.visible && (this.parent?.visible)
     }
-    return this._datasetDefinition.visible
+    return this._datasetDefinition.visible && getGlobalVisibility()
   }
 
   get symbolAnchor () {
diff --git a/plugins/beta/datasets/src/registry/globalDataset.js b/plugins/beta/datasets/src/registry/globalDataset.js
index 0be35341..c0d4fc0a 100644
--- a/plugins/beta/datasets/src/registry/globalDataset.js
+++ b/plugins/beta/datasets/src/registry/globalDataset.js
@@ -32,3 +32,5 @@ export const calculateOpacity = (opacityValue, parentOpacityValue) => {
       return calculateLocalOpacity(opacityValue, parentOpacityValue)
   }
 }
+
+export const getGlobalVisibility = () => globalState.visible