Page 78 - Çevre Şehir İklim İngilizce - Sayı 4

Urban Transformation Forecasts with Artificial Intelligence
Based Algorithms

Basic functions obtained from MARS method and equation used for
achieving the surface area are given in Table 14. The equation used to achieve
the variable surface area is available in the last row of the table. The relative
importance of the independent variables used in the equations achieved from
the MARS and TreeNet methods are also given in Table 15.

Table 14. The equation used for achieving the surface area variable and basic
functions obtained from the MARS method
Basic functions
BF1 = max( 0, N - 0,753556); BF2 = max( 0, 0,753556 - N);
BF5 = max( 0, G - 0,1);
BF6 = max( 0, G - 0,682458) * BF2; BF10 = max( 0, 0,148466 - F)
* BF2; BF12 = max( 0, 0,128509 - E) * BF2;
F_yüz_ölçümü = 0,307045 - 1,53276 * BF1 - 0,291522 * BF2 + 0,289436 * BF5 - 2,55668 * BF6 +
26,492 * BF10 - 1254,41 * BF14;

Table 15. The relative importance of the independent variables used for the
estimation of the surface area variable obtained from the MARS and
TreeNet methods
MARS TreeNet
E 100 |||||||||||||||||||||||||||||||||||||||||||||||| N 100 ||||||||||||||||||||||||||||||||||||||||||
G 96,67 |||||||||||||||||||||||||||||||||||||||||
E 83.16 |||||||||||||||||||||||||||||||||||
F 70.18 |||||||||||||||||||||||||||||
Y 57.64 ||||||||||||||||||||||||
Table 15 shows that population, only the inflation rate was effective among
the independent variables in the equations obtained for the MARS method,
while all variables were effective in the equation achieved for the TreeNet
method. The variable with the highest relative importance for the MARS
method was the inflation rate variable, while the variable with the highest
relative importance in the TreeNet method was the population variable.
The performance statistics obtained for the training, verification and testing
datasets of ANN-based models established to predict the surface area variable,
including peak values, are given in Table 16 for four different neuron numbers.
Tests were conducted by trial and error for the neuron numbers given in the
table, and the results of the models that gave the highest performance values
were presented within the scope of the thesis.

Year 2 / Issue 4 / July 2023 67