Alice, 14, from Hanwell, west London, was last seen on 28 August next to the Grand Union Canal.
It is hoped the reconstruction of events will prompt anyone with information to contact police.
A £20,000 reward will be paid to anyone who has information that leads detectives to find Alice.
The investigation has so far seen the Met review 1,251 documents and speak to 1,067 people. More than 1,000 calls have been made to the incident room.
The prime suspect in the investigation is Latvian national Arnis Zalkalns .
The manhunt for the missing teen is the largest since the 7/7 terrorist bombings, while police are also under review for their handling of the case in the early stages.
