The demographic transition theory is a model that explains population change over time. It involves distinct stages of birth and death rates associated with industrialization and economic development.

Option 1 suggests a sequence of Low Birthrate-Low Death rate transitioning to High Birthrate-High Death rate and finally High Birthrate-Low Death rate. This sequence is incorrect as the demographic transition doesn`t typically start with low birth and death rates.

Option 2 proposes a shift from High Birthrate-High Death rate to Low Birthrate-Low Death rate, finally culminating in High Birthrate with Low Death rate. This order is implausible, as a stage of low birth and death rates would not ordinarily precede a stage of high birth rates and low death rates.

Option 3 indicating the transition from High Birthrate-High Death rate to High Birthrate-Low Death rate and finally to Low Birthrate-Low Death rate is correct. This sequence correctly describes the demographic transition set by increased industrialization and economic development.

Option 4 seems irrelevant due to the incorrect code "128" being present, this error makes the option noncompliant with the question, hence, it can`t be the correct one.