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dc.contributor.authorMuthuri, Lewis Gituma
dc.date.accessioned2018-07-05T06:48:42Z
dc.date.accessioned2020-02-05T15:02:08Z
dc.date.available2018-07-05T06:48:42Z
dc.date.available2020-02-05T15:02:08Z
dc.date.issued2015
dc.identifier.citationA thesis submitted for the a ward of Master of Science Degree in Applied Mathematics at Meru University of Science and Technologyen_US
dc.identifier.urihttp://repository.must.ac.ke/handle/123456789/87
dc.description.abstractMeru Town is the headquarters of Meru County and its population has been increasing over the years at an average annual rate of 2.36% per annum.As the population increases, the demand for water increases which in turn influences increase in total connections as the population density in town also increases. This growth in population will definitely mean more consumption of water. Therefore it is necessary to model water consumption in Meru Township and the result to estimate population explosion. This study modeled the determinants of water consumption in Meru Township which included, water consumption, per captia consumption and connections. In doing so, the exploration of data for population, per capita consumption and total since the year 2005 to 2015 was done in order to understand the behavior of the data and ultimately to get the best model to predict water consumption in Meru Township.After exploration of the data, growth models such as : Thomas a R. Malthus's Model which is similar to Exponential Growth Model, Logistic Differential Model which is also similar to Logistic Population Growth Model and Logarithmic Growth were found not ideal for analysis of this data that favored Time Series Models. The multi linear model was found to be appropriate for this study and ANOVA technique was employed to establish the validity of the model. The coefficient of the determinant of the model, R2,is 99.9%, hence the best model for estimating population explosion using determinants of water consumption in Meru Township. According to the data at hand for the determinants of water consumption, it will take a very long time for population explosion to be experienced, however caution must be taken to conserve the natural resource.The AIC criterion was used to select the model among AR model of different orders. AR (2) model with of 251.47 was identified as the most suitable model to describe our time series data.en_US
dc.language.isoenen_US
dc.publisherMeru University of Science and Technologyen_US
dc.subjectWater Consumptionen_US
dc.subjectPopulationen_US
dc.titleEstimation of Population Explosion Time in Meru township by Analysing the Determinants Water Consumptions using time Series Modeen_US
dc.typeThesisen_US


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