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Time series analysis techniques
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Municipalities, market participants, customers and citizens or simply traders are all attempt to make a living from buying and selling various services either water services or financial services. Clearly the ability to forecast the direction of water consumptions and organization revenues movements, up or down, is vital to these individuals and entities. Further, over the last few decades researches and scientific papers have shown an interest in forecasting field and attempted to quantify and justify the wide variety of techniques used.
2.1. Time Series Analysis and Forecasting
A time series is a sequence of observations on a variable measured at successive points in time or over successive periods of time. The measurements may be taken every hour, day, week,
Seasonality - regular variations in the time series that is caused by re-occurring events, for example a spike in sales during the Christmas period (So & Chung, 2014).
3. Random component - additional fluctuations in the series that may be attributed to noise or other random events.
Also, Allan Steel(Steel, 2014) explained the three primary types of time series which are stationary, additive and multiplicative. Usually, stationary time series are repetitive, in other words showing constant auto-correlation and are considered the easiest type to model. Stationary series have constant amplitude without a trend element: stationary time series = seasonality +/or noise
The second type of time series is the additive type. In this type all three components of the series are present, trend, seasonality and noise. The distinguishing feature here is the amplitude of the seasonal component in that it is quite regular being static over time. This time series is trending upwards overall but there is a clear repetitive pattern of peaks and troughs caused by the seasonality, with the heights of the peaks all being similar. We can consider an additive time series as: additive time series = trend + seasonality +
During the spring time the weather was rainy but warm. The summer time was hot and dry with the occasional rain. Fall was a time of cool and dry weather. With maybe some rain or snow.
Increase in water consumption is a topic usually discussed inasmuch as this problem affects many cities. Phoenix is located in the State of Arizona, with around 540 square miles. Moreover, according to official site of City of Phoenix, the city ranks as one of the fastest-growing cities in the nation with approximately 1.4 million people. The city of Phoenix, although it is being in an arid area, has a per capita consumption lower than expected. The consumption of water is essential for life; however, what have to be analyzed is the withdrawal of water; furthermore, the capacity of regeneration of water resources mainly for future generations, which is the concept of sustainability. There are many aspects that would influence the consumption of water; however, each city has its own particularities. Although, Phoenix when analyzed as totality does not have an excessive consumption; it is a peculiar city and if an analysis is done in small scale, such as neighborhood, it is possible to identify the major consumer of water. “Determinants of residential water demand reflect both indoor and outdoor use and including size of the houses, if the houses have swimming pools, lot size, and the prevalence of gardens and vegetation that require water.” (Elizabeth A. Wentz & Patricia Gober, 2007). In addition, according to Phoenix City, since 1881, when the city was officially incorporated, until today’s date, the city of Phoenix has been improving its own capacity to provide water for the population. Phoenix can reach 2.2 million people by the 2030 (Census Boreau, 2010). A challenge for the future is to find new resources to provide water for the population even in severe drought.
Water shortage is a growing problem for most countries in the world. For China, which has 20% of world’s population and only 7% of available water resources, this problem may become catastrophic (Hofstedt 2010, 72). Therefore some actions and measures should be performed to avoid or at least to weaken future water crisis in China. In this work the following three solutions will be proposed and analyzed in terms of efficiency and applicability: water usage efficiency improvement; adopting the local agencies on controlling water resources; reasonable water pricing.
event such as a sequence of numbers as produced by a random event generator. The
On the other hand, we experience events in time as occurring in succession, one after another, and as simultaneous with other events. When viewed in this way, events stand in various different temporal relations to each other but no one event, or set of events, is singled out as having the property of being present or as occurring 'now'.
Only when you correctly use these with correct punctuation, do they qualify for their specific group. The first sentence type is a simple sentence, this must contain a subject, a verb, and a complete thought; this makes it the same as an independent clause. Within a simple sentence, either you can have a compound subject or compound verb; more than two subjects and verbs, or you can have a verb phrase; the main verb plus a helping verb. The second sentence type is a compound sentence. A compound sentence has two or more Independent clauses. The three ways you have to separate these independent clauses are with: 1) A comma plus a coordinating conjunction – also known as FANBOYS. 2) One can add a semi-colon between the two independent clauses. 3) A semi-colon plus a conjunctive adverb plus a comma – the author refers to this as the one, two, three combo. The three rules when you use the semi-colon are to: 1) only use it to separate two or more independent clauses. 2) Those two independent clauses must have a clear and obvious relationship. 3) It is rarely used - ± 2-3 types per page. Also, note that when you make use of a conjunctive adverb, you must follow it with a comma. The third sentence type is a complex sentence, defined as one or more dependent clause(s) plus only one independent clause. The rule added to this is, that if the dependent clause are at the beginning of the sentence, then
events that repeats itself over and over again unchanged, usually, for an indefinite amount of time. This
Part 1. (a) Define each, (b) Explain its significance, (c) where indicated with this symbol * provide an example.
These denoting phrases can be classed into either one of two groups; those containing definite descriptions and those containing indefinite descriptions.
This linear time structure has made time no longer seem infinite. This framework emphasizes a chronological order -- with time, of course, neatly organized into little intervals. This is drastically different from circular time which never ends ...
Routine. It means a sequence of actions regularly followed, or a fixed program. It does not mean unusual, abnormal, irregular, strange, or uncommon. We can all view routine as the dictionary definition, yet to me, it means more. It is order and organization. I define routine as simple, necessity, and never forgotten.
Temporal pattern- This is a defined segment of signals that recur frequently in a temporal signal sequence. Temporal signal sequences could be the movements of head, hand, body or a piece of music etc. Patterns involving body movements represent the habit of a person.
Business forecasting can be used in a wide variety of contexts, and by a wide variety of businesses. For example, effective forecasting can determine sales based on attendance at a trade show, or the customer demand for products and services (Business and Economic Forecasting, p.1). One of the most important assumptions of business forecasters is that the past acts as an important guide for the future. It is important to note that forecasters must consider a number of new information, including rapidly changing economic conditions and globalization, when creating business forecasts based on past sales.
One main causes of water scarcity is water mismanagement worldwide. Water mismanagement has become a crisis of governance that will impact heavily ...