## 2 Methodology  
In this section, the methodology proposed is presented. Figure 2 depicts the flowchart explaining the steps of the methodology used. Figure 1: The graphical user interface of the system. Step 1: Ethical considerations: In accordance with Resolution 008430 of 1993--article 11 of the Ministry of Health, the risks of an investigation are classified as: without risk, minimal risk and high risk. This research is classified among the projects without risk, because it does not work on the human being, nor is any intentional intervention or modification made to the biological, physiological, psychological or social variables of the individuals participating in the study. In accordance with article 87 of this same resolution, it is specified that the animals that will be taken into account for this project will not suffer physical alterations nor will their bodies be intervened with to obtain information. An observation will be made on variables such as temperature which are not lethal and do not cause episodes of distress to the animal. Under [PERSON]'s 3R principle, this research uses the reduction alternatives that refer to any strategy that results in the use of a smaller number of animals to obtain sufficient data to answer the question investigated, which in this case is the maximization of reproduction, in order to potentially limit or prevent further use by other animals without compromising animal welfare. Taking into account Law 84 of 1989, this project does not cause harm to an animal nor does it contemplate behaviors considered cruel to the worms under study, nor will animal sacrifice actions be carried out since their behavior is only observed in their natural state. Step 2: Determine the variable of control of the experiment. In this mode, the experimental units, responses and variables need to be identified. The experimental unit is the Californian red worm and the response variable is the weight of the beds in kg. The generic diagram of the experiment can be seen in Figure 3.  
In this mode, the mathematical expression can be documented in Equation (1). \[Y_{z}=x_{1}\cdot y_{1}+x_{2}\cdot y_{2}+x_{3}\cdot y_{3} \tag{1}\]  
where  
1. \(Y_{2}\): Represents the solutions obtained from the calculations, where an optimal solution is desired. 2. \(x_{1}\): Corresponds to the humidity factor. 3. \(x_{2}\): Belongs to the temperature factor of the system. 4. \(x_{3}\): Represents the time factor. 5. \(y_{1}\): Describes the equipment used to build the system. 6. \(y_{2}\): Represents the environmental conditions. 7. \(y_{3}\): Depicts the circle of life beds of the system. Figure 2: Sequence of methodology. Step 3: Establish a design of experiments. The application of factorial design of experiments is used to find the best levels of the variables. The operator of the association's worm beds will be in charge of taking the data at the times established by the work team. During data collection, the basic principles of the design of experiments will be guaranteed as follows:  
* Randomization: With the help of the R software 4.3.1, the order in which the configuration of the factor levels is assigned among the 36 beds is obtained, which is done randomly. This will guarantee the independence of the observations. * Replication: According to the data in the problem statement, factor \(x_{1}\) has three levels, as well as factors \(x_{2}\), and \(x_{3}\), which results in the calculation of the total number of observations shown in Equation (2), where n is the number of replicas which is four; in this experiment, it is possible to find an experimental error for each sample and the sources of variability are found in each replica taken by combination. This ensures replication as a principle. \[N=3^{3}\cdot n=27\cdot 4=108\] (2)
* Blocking: To guarantee the blocking principle, certain aspects must be taken into account.