Curious if there's any reason why the South Island is restricted to exactly 16 seats while the North Island's number can vary. Is the population size and distribution really that much more dynamic?
South Island had the larger population in much of the 19th century, but its relative share of the New Zealand population has been falling since. Extract from the 1990 edition of the New Zealand Official Yearbook.
"The initial alluvial gold rushes had ended by the 1870s. However, after a short lull high levels of immigration were maintained, bolstered by Vogel's assisted passage scheme. From 1867 the proportion of the total population resident in the North Island began to steadily increase. A strengthening economic base and suppression of Maori opposition to land alienation made the prospect of settling in the North Island more attractive. Farming in the North Island became increasingly feasible and profitable with innovations in agricultural methods and, in particular, the development of refrigeration. Large estates were also being broken up by the 1890s and this contributed to more intensive settlement. The greater opportunities seemingly available ensured that the North Island became the usual destination chosen by both external and internal migrants. At the same time the South Island lost people due to migration and the North Island population experienced a higher rate of natural increase. By 1901 these factors resulted in the population of the North Island again exceeding that of the South Island.
Since that time the North Island's population has continued to expand at a greater rate, and its share of the total population has continued to grow. A little over 60 percent of the population resided in the North Island by 1916. This figure rose to 70 percent by 1966 and to over 73 percent by 1986.
From the 1940s the centre of gravity of the North Island population has itself gradually moved further north."