Given the following passage  "Beginning and ending dates are roughly the reverse in the southern hemisphere. For example, mainland Chile observed DST from the second Saturday in October to the second Saturday in March, with transitions at 24:00 local time. The time difference between the United Kingdom and mainland Chile could therefore be five hours during the Northern summer, three hours during the Southern summer and four hours a few weeks per year because of mismatch of changing dates.",  answer the following question. Note that the answer is present within the text.  Question: When does the time change occur?
second Saturday in October to the second Saturday in March, with transitions at 24:00 local time