PhD Studentship: Mathematical Methods for Evaluation of Pest Insect Abundance
Ecosystems are under pressure due to anthropogenic impact which has increased considerably over the last few decades. This pressure can significantly affect the structure of ecological communities, often enhancing population outbreaks of harmful species. Comprehensive ecological monitoring of pest species is therefore necessary in order to provide detailed and timely information about species that can potentially cause problems. It has been increasingly recognized that ecosystems and agro-ecosystems dynamics is essentially multi-scale and its comprehensive understanding is not possible unless the interaction between the processes going on different spatial and temporal scales is taken into account. As far as the data collection is concerned, there are several spatial scales in the pest monitoring problem. The first and smallest spatial scale is related to a single trap. The next spatial scale arises when the local information about the pest density obtained by trapping. A system of N traps is installed in an agricultural field in order to estimate the pest abundance over the field and we refer to this problem as a ‘single field’ problem. The project is to design a mathematical technique in order to investigate the potential importance of the results obtained on the other spatial scales (i.e., the data from the single trap and the data from the landscape scale) for the accurate pest population size evaluation when a single agricultural field is concerned. The approach is based on ideas of numerical integration where one essentially new feature of this evaluation technique is that the characteristic size of the pest species aggregation can be smaller that the distance between neighbouring traps, in which case a probabilistic approach should be used.
A successful candidate must have an UNDERGRADUATE DEGREE IN MATHEMATICS where the curriculum includes modules in ordinary and partial differential equations and in numerical methods. Basic knowledge of programming is also required.
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This research project is one of a number of projects at this institution. It is in competition for funding and usually the project which receives the best applicant will be awarded the funding. The funding is only available to UK citizens who are normally resident in the UK or those who have been resident in the UK for a period of 3 years or more.
Non-UK Students: If you have the correct qualifications and access to your own funding, either from your home country or your own finances, your application to work on this project will be considered.