diff --git a/src/serve_data.js b/src/serve_data.js
index 4cec5e5..f083eee 100644
--- a/src/serve_data.js
+++ b/src/serve_data.js
@@ -92,7 +92,7 @@ module.exports = (options, repo, params, id, styles, publicUrl) => {
         } else {
           if (tileJSON['format'] === 'pbf') {
             isGzipped = data.slice(0, 2).indexOf(
-              new Buffer([0x1f, 0x8b])) === 0;
+              Buffer.from([0x1f, 0x8b])) === 0;
             if (options.dataDecoratorFunc) {
               if (isGzipped) {
                 data = zlib.unzipSync(data);
diff --git a/src/serve_rendered.js b/src/serve_rendered.js
index 84fd06a..526b491 100644
--- a/src/serve_rendered.js
+++ b/src/serve_rendered.js
@@ -49,7 +49,7 @@ const extensionToFormat = {
  * string is for unknown or unsupported formats.
  */
 const cachedEmptyResponses = {
-  '': new Buffer(0)
+  '': Buffer.alloc(0)
 };
 
 /**
@@ -82,7 +82,7 @@ function createEmptyResponse(format, color, callback) {
   color = new Color(color);
   const array = color.array();
   const channels = array.length === 4 && format !== 'jpeg' ? 4 : 3;
-  sharp(new Buffer(array), {
+  sharp(Buffer.from(array), {
     raw: {
       width: 1,
       height: 1,