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The majority of sessile lter feeders, suspension feeders, and deposit feeders do not pursue or search for their prey and so it would be meaningless to use a component like search time as a currency in an investigation of the optimality of their foraging behavior. However, this does not mean that we cannot make use of optimality theory in attempting to understand their behavior, we just need to know what component to substitute for T in the equations. They do make an investment in foraging in terms of the ltering apparatus, the rate of ltering or pumping of seawater, or the rate of sediment ingestion. However, these costs are low and evidence suggests that the energy invested in these foraging behaviors is a fraction of that invested in, for example, respiration. Similarly these organisms differ from the other consumers that we have discussed in that prey selection is unlikely to be common amongst them. Animals relying on a current to deliver food to them can probably ill afford to be too picky. In an excellent review of this topic Roger Hughes describes a number of optimality models speci cally designed to incorporate currencies which are meaningful in this context, ( ltering rate, particle selectivity, digestion rates, rejection rates, etc.). These models have generated testable predictions and subsequent experimental work has produced data to support the idea that without doubt the sessile benthic organisms include some of the most ef cient optimal foragers.



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1323 Design Guidelines for Clustering and Aggregation in Sensor Networks Mhatre and Rosenberg [5] considered the organization of sensors into clusters Sensors could use either a single- or multihop mode of communication to send their data to their respective CHs The CHs send their data directly to base stations The energy needed for communication between two nodes at distance r is proportional to r a c, where a is a power attenuation factor (between 2 and 6), and c is a constant that accounts for minimum reception energy and energy to run circuitry The goal is to minimize and balance energy consumption The authors analyze two modes of communicating between sensors and base stations, and derive conditions under which single-hop transmission by all nodes is best One of the conclusions made is that, for a 2, there is no bene t from multihop communication.





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When multihop communication is better, each CH is assumed to be at the center of a circle divided into rings of equal width (equal to the used transmission radius) Therefore, they assume that each multiple hop is of approximately equal length and they nd the optimal forwarding distance for each hop The authors [5] do not prove that it is indeed optimal to use each hop of equal length (ie, that the rings indeed all need to have equal width for optimality) Their result is based on minimizing the energy in a ring that is found to be critical However, other rings may not be critical at that time Our analysis [6], presented below, shows that, in fact, the rings are not of the same size for the optimal case (ie, the sensor uses different transmission radii for maximizing network lifetime).

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First page. Refer to slide 24. Network Working Group. The traditional heading for the group that founded the RFC series. This appears on the first line on the left hand side of the heading. Request for Comment: nnnn. Identifies this as a request for comments and specifies the number. Indicated on the second line on the left side. The actual number is filled in at the last moment before publication by the RFC Editor. Author Name. The author s name (first initial and last name only), indicated on the first line on the right side of the heading. Author Organization. The author s organization (company name, college division, etc.), indicated on the second line on the right side. Submission Date. This is the month and year of the RFC publication. Indicated on the third line on the right side. Obsoletes/Updates. If this RFC updates or obsoletes another RFC, it is indicated in the third line on the left side of the heading. Category. The category of this RFC, one of: Standards Track, Informational, or Experimental. This is indicated on the third (if there is no Obsoletes/Updates indication) or fourth line on the left side.

We also note that the communication from CHs to base stations can also be multihop, via other CHs or even other sensors, instead of being single-hop Finally, overall analysis is based on each sensor having an equal amount of data to report, which may not hold in a real application Mhatre and Rosenberg [5] also studied the problem of determining and selecting the optimal number of CHs and required battery energy Their derivations, however, are very complex..

In the problems of segmentation of time series Y fy 1 ; y 2 ; . . . ; y k ; . . . ; y T g, the indirect sequence clustering approach [14] is used quite often. It consists in the extraction of some characteristic features from the time series and their subsequent mapping onto a transformed feature space, where known space-based clustering algorithms can be used to form clusters. Such features can be the correlation, regression, and spectral characteristics of the time series, which in our case should be computed with adaptive iterative procedures. For this purpose, such estimates as mean, variance, and autocorrelation coef cients can be used. To provide adaptive properties, these estimates can be computed via exponential smoothing [1]. The mean value can be estimated as S k a y k 1 a S k 1 ; 0<a<1 13:1

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