6.c) Esnuka evolutionary theory game

After introducing the functional limitations with a 30-point level, the Global model of evolution of intelligence works satisfactorily which can be verified with the images associated with the following tables.

The third surprise has been that the complete model contains exactly the same parameters as the evolutionary theory game Esnuka (1990) about the biology, evolution and genetic problems regarding the nature of intelligence. I relinquished introducing some of them in the simple model because I did not think that they were necessary and I thought that it would be very difficult to justify their presence in a statistical study.

In fact, to prove the hereditary nature of intelligence, the Global model does not need either a simulation or the generation of the objective function R if the adjustments are made directly on M and F.

Evolutionary theory game Esnuka is a billiards program in which the colors of the balls depend on evolutionary states based on the obtained cannons, in agreement with the postulates of the evolutionary theory GTCEL. In the simulation game Esnuka not so many random variables need to be assumed because the computer does not produce errors in the expression or in the measurement, and the evolution takes place with a constant percentage once the corresponding parameter is fixed.

All the graphs correspond to the Global model of evolution of intelligence including functional limitations. Of course, to obtain a satisfactory optical effect, the images have been chosen where W shows better adjustments to one of the C variables of the children.

6.c.1) Original variables

The original individual variables do not always improve their adjustment within the statistical simulation of the Global model of evolution of intelligence, whereas the centered variables do. For rearrangement criterion (M+F)/2 this can easily be understood because this criterion does not respond to the changes in the parameters of internal evolution.

Statistical study
5 - Global Model: T1, T4 and WB
Intelligent test of Wechsler and Stanford-Binet scales
Order Objective function
M & F
Graphs GMCI r² max. Graphs GMCI r² max.
(M+F)/2 q051° 11,73 0,62 q052 13,05 0,80
M1F1° q053° 10,91 0,79 q054° 13,04 0,79
q055° 10,83 0,73 q056° 12,63 0,94
WB q057° 12,26 0,89 q058 14,68 0,99
° Internal evolution parameters affect the objective function R and M1F1 order

A particular graph could only be affected by the evolution parameters when either the objective function or the rearrangement criterion is affected because the C variables of the children, mothers M and fathers F are observational variables. When variables are affected, the variables concerned are marked with a circle; therefore, when the column or row headings of next tables have an (°), it will indicate that the model adjustment has changed due to the evolution parameters effect.

Surely, some elements of the model may be improved upon, but the main structure of the model, in my opinion, is totally valid. Also it could be that these original variables, with so many deviations and in spite of the sensitivity of the Global model and the random variables, are not capable of detecting the limited effect of the internal evolution parameters.

It is too soon to make very specific conclusions; for example, sometimes the three C variables behave similarly and sometimes very differently. It is possible that the different IQ tests employed measure different characteristics and therefore, respond differently when the perspective of the analysis changes.

We already knew the diversity of the data source. What would be new is the quantitative analysis from these perspectives.

In other words, it could be that certain elementary functions of intelligence belong to a hard nucleus that will not be affected normally by the internal evolution of a single generation. I am sure that a constant of minimum human intelligence will signify an improvement of the goodness-of-fit of the model; in particular, I think that this minimum would be around 50 or 60 points, although there will always be exceptions by serious cerebral alterations of some individuals.

Even so, the correlations obtained with the individual variables achieve correlations of 0.89 for function R° defined by the GTCEL and of 0.99 for M & F. This last result, however, is the same as with the model without evolution because the parameters of the model do not alter M & F or the criterion of arrangement WB.

Also, when variable R° is used as an arrangement criterion, it obtains a correlation of 0.94 which it is not at all bad, and 0.79 for both objective functions when the criterion is M1F1°.

Of course, we cannot forget about the impressive behaviour of variable W in all of them. I really think that the visual effect of the graphs strongly accounts for the high-quality specifications of the Global model.

6.c.2) Centered variables

Centred variables maintain a better adjustment in relation to the original ones.

It could be said that the graphs of the Global model of evolution of intelligence are speak for themselves.

Statistical study
6 - Global Model: T1-d, X3 and X6
Order Objective function
M & F
Graphs GMCI r² max. Graphs GMCI r² max.
(M+F)/2 q061° 14,70 0,77 q062 16,03 0,80
M1F1° q063° 15,61 0,89 q064° 17,77 0,89
q065° 15,55 0,84 q066° 17,40 0,97
X6 q067° 15,05 0,91 q068 17,20 0,88
° Internal evolution parameters affect the objective function R and M1F1 order

In comparison to the same centered variables without internal evolution, the GMCI increases more when the objective function is M & F than with R°; although it is important in both. Also, the GMCI increment is bigger with criterion M1F1° than with R°, with 1.70 and 1.52 points respectively.

For both objective functions R° and M & F the results are enhanced when the criteria of arrangement R° and M1P1° are used.