react: React cannot be compiled with latest Google Closure Compiler

When trying to compile React 15.3.1 with the latest Closure Compiler, the following output is produced:

react.js:13694: WARNING - Misplaced @abstract annotation. only functions or non-static methods can be abstract
  getTransactionWrappers: function () {
  ^

react.js:14161: WARNING - Misplaced @abstract annotation. only functions or non-static methods can be abstract
  getTransactionWrappers: function () {
  ^

react.js:16952: WARNING - Misplaced @abstract annotation. only functions or non-static methods can be abstract
  getTransactionWrappers: null,
  ^

react.js:4782: ERROR - @nosideeffects may only appear in externs files.
  render: SpecPolicy.DEFINE_ONCE,
  ^

1 error(s), 3 warning(s)

The last one is an errors, the others are warnings. To reproduce:

$> wget https://dl.google.com/closure-compiler/compiler-latest.zip
$> unzip compiler-latest.zip
$> wget https://cdnjs.cloudflare.com/ajax/libs/react/15.3.2/react.js
$> java -jar closure-compiler-*.jar --js react.js