Mathematical Model Answering the Research Question
Mathematical Model has become an integral part of in Engineering management. Mathematical approach to a research problem allows for the statistical comparison of data between two variables. In this case, we seek to compare genetically modified trees and the normal ones in an effort to depict how organizations can implement the findings for their growth. The results of this model can be applied in the production of pesticides a demonstrate how this research problem addresses policies in organizations can help in resisting negative impacts from both internal and external sources.
The initial field trial seeks to assess growth of the trees based on the measurement of the height of the stem and the diameter at breast. They are measured at planting time as well as the end of initial developing season. Damage measurements are carried out to identify which evaluated the badly dented leaf cluster. The second one damage to the entire tree. By measuring both the growth speed in the GM and resistance to attacks by beetle.
Plant Growth=Volume Index=stem height ×〖stem diameter 〗^2 (1)
The equation evaluates the general productivity of biomass, a substance that can be analogously compared to overall productivity of not only manufacturing, but also any organization aims to generating profits. In order to compute the volume growth of every sample, the difference between stem volume at the tail-end of the development and stem volume at planting time was calculated. On the other hand, badly damaged leaf cluster as well as whole-tree damage ratings were carried out after the growing season.
Damage Scores can be used to demonstrate that the control trees exhibit more damage than the transgenic trees. Similarly, as far as leaf cluster damage is concerned, about 97% of all transgenic trees exhibited a lower than 5% damage as opposed to more than 50% damage for the control group.
Model time step
The duration factor t to t+1 symbolizes the duration amid two immense wildfires instead of a predetermined period of time. It is presumed to be adequately lengthy for contention to happen amidst reforming seedlings in the wild stand and only a single recruit to control and engage every cell and achieve productivity. A single step might be in the form of 30 to 100 years. As much as the model may apparently be duplicated indistinctly, it may be a futile endeavor. An enduring character is not appropriate due to the lengthiness required in every tread. The presumption that the hereditary constitution of the forest might be maintained permanent by agronomics may not sustain for a long period of time since the requirements of the industry as well as diversities with distinct genes were commenced. Consequently, outcomes for only one-time step are demonstrated (Linacre & Ades, 249)
The affectation was done as indicated below. Every adult tree was chosen independently to represent the tree that is to be fecundated. The percentage of distinct forms of fecundate, genetically modified as well as non-genetically modified reaching that tree were unified in the air with trees away from the tree being fertilized donating little to the fecundate reserve. The possibility of selfing, as well as hybridding, was considered in that computation and the percentage of seeds of the distinct genetic constitutions was computed for every tree being fecundated.
Linacre, Nicholas A., and Peter K. Ades. “Estimating isolation distances for genetically modified trees in plantation forestry.” Ecological Modelling, vol. 179, no. 3, 2004, pp. 247–257., doi:10.1016/j.ecolmodel.2003.11.011.