4.2 Utility per capita between humans and plants (\(\bar{U}_{H_{1}P}\) x \(\bar{U}_{P_{1}H}\) x \(\bar{U}_{H_{n}P}\) x \(\bar{U}_{P_{n}H}\))

Table 4.2: Parameter setting
parameter value
initial_population_humans 10
initial_population_plants 10
number_types_humans 30
number_types_plants 30
undirected_variation_humans 0.15
undirected_variation_plants 0.15
intrinsic_growth_rate_humans 0.04
intrinsic_growth_rate_plants 0.1
utility_per_capita_type_n_plants_to_humans 0 - 3 (sample = 5 )
utility_per_capita_type_n_humans_to_plants 0 - 3 (sample = 5 )
utility_per_capita_type_1_plants_to_humans 0 - 3 (sample = 5 )
utility_per_capita_type_1_humans_to_plants 0 - 3 (sample = 5 )
utility_other_to_type_n_humans 10
utility_other_to_type_n_plants 20
utility_other_to_type_1_humans 80
utility_other_to_type_1_plants 100
max_area 200
max_iterations 5000
reltol_exponential 6
coevolution_threshold 0.5
humans 74.5622526385153 - 616.122991274673 (sample = 611 )
plants 93.7854569646093 - 200 (sample = 222 )
coevolution_coefficient_humans -0.717940961994967 - 0.701298246126613 (sample = 611 )
coevolution_coefficient_plants -0.717941007482056 - 0.704797600572959 (sample = 625 )
dependency_coefficient_humans -1 - 0.947663005457465 (sample = 601 )
dependency_coefficient_plants -1 - 0.971381159245891 (sample = 602 )
timing_humans 0 - 219 (sample = 70 )
timing_plants 0 - 290 (sample = 85 )
time_end 300 - 4999 (sample = 248 )
adaptativeCost.H 0
adaptativeCost.P 0

Interpretation:
- Higher values of all four parameters facilitate coevolution; under the ‘default’ setting, a value around 1 is enough for all four parameters (intermediate values in this exploration).
- Coevolution is still possible if any single one of these parameters equal zero (first rows or first columns). Under this type of conditions, cultivation (blue) is more probable than domestication (red), and the latter is strongly dependent on a non-null \(\bar{U}_{H_{n}P}\).
- As a summary of possible end-states:
+ ‘Fast’ coevolution (red square in blue tile, small t): most cases when values are greater than 0.75.
+ Domestication without cultivation (red square in whitish tile): most cases when \(\bar{U}_{H_{n}P}>0.75\), \(\bar{U}_{H_{1}P}\geq 0.75\), \(\bar{U}_{P_{n}H}=0\), and \(\bar{U}_{P_{1}H}<2\).
+ Cultivation without domestication (whitish square in blue tile): most cases when \(\bar{U}_{H_{n}P} = 0\).