Maximum information entropy: a foundation for ecological theory

Harte, John; Newman, Erica A.

doi:10.1016/j.tree.2014.04.009

Cited by 192 publications

(190 citation statements)

References 32 publications

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“…Shannon introduced entropy to measure the ambiguity of random variable in operational data [39], [40]. When applied to an information source, the entropy measures the information enclosed in a message and is inversely related to its probability of occurrence [41].…”

Section: ) Anomaly Detectionmentioning

confidence: 99%

Enhanced Mechanism to Detect and Mitigate Economic Denial of Sustainability (EDoS) Attack in Cloud Computing Environments

Bawa¹,

Rehman²,

Manickam³

2017

ijacsa

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Abstract-Cloud computing (CC) is the next revolution in the Information and Communication Technology arena. CC is oftenprovided as a service comparable to utility services such as electricity, water, and telecommunications. Cloud service providers (CSP) offers tailored CC services which are delivered as subscription-based services, in which customers pay based on the usage. Many organizations and service providers have started shifting from traditional server-cluster infrastructure to cloudbased infrastructure. Nevertheless, security is one of the main factors that inhibit the proliferation of cloud computing. The threat of Distributed Denial of Service (DDoS) attack continues to wreak havoc in these cloud infrastructures. In addition to DDoS attacks, a new form of attack known as Economic Denial of Sustainability (EDoS) attack has emerged in recent years. DDoS attack in conventional computing setup usually disrupts the service, which affects the client reputation, and results in financial loss. In CC environment, service disruption is very rare due to the auto-scalability (Elasticity), capability, and availability of service level agreements (SLA). However, auto scalability utilize more computing resources in event of a DDoS attack, exceeding the economic bounds for service delivery, thereby triggering EDoS for the organization targeted. Although EDoS attacks are small at the moment, it is expected to grow in the near future in tandem with the growth in cloud usage. There are few EDoS detection and mitigation techniques available but they have weaknesses and are not efficient in mitigating EDoS. Hence, an enhanced EDoS mitigation mechanism (EDoS-EMM) has been proposed. The aim of this mechanism is to provide a realtime detection and effective mitigation of EDoS attack.

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Section: ) Anomaly Detectionmentioning

confidence: 99%

Enhanced Mechanism to Detect and Mitigate Economic Denial of Sustainability (EDoS) Attack in Cloud Computing Environments

Bawa¹,

Rehman²,

Manickam³

2017

ijacsa

View full text Add to dashboard Cite

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“…The Wikipedia's formulation of a diversity index supports for a large number of possibilities to develop a mathematical definition of diversity index based on so-called a rank abundance curve or Whittaker plot [52] within the satisfactory of the principle of maximization of desired quantity. In point of view of physicists, the most preferable quantity for the definition of a diversity index is the entropy [7,15,19,53,[60][61][62][63][64][65], but mathematicians think of any functionals depending on probability that satisfy a set of the given conditions. Having different minds for a long time, the mathematicians and the physicists agree about some common mathematical definitions of diversity index as the same as the mathematical formulation of the entropy.…”

Section: Diversity Indices and Entropymentioning

confidence: 99%

On application of non—extensive statistical mechanics to studying ecological diversity

Xuan¹,

Lan

Việt

2016

J. Phys.: Conf. Ser.

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Abstract. The concept of Tsallis entropy provides an extension of thermodynamics and statistical physics. In the ecology, Tsallis entropy is proposed to be a new class of diversity indices Sq which covers many common diversity indices found in ecological literature. As a new statistical model for the Whittaker plots describing species abundance distribution, the truncated exponential distribution is used to calculate the diversity and evenness indices. The obtained results in new model are graphically compared with those in previous publication in the same field of interests, and shows a good agreement. A further development of a thermodynamic theory of ecological systems that is consistent with entropic approach of statistical physics is motivated.

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“…Species abundance distributions have been addressed with methods of statistical mechanics [3][4][5][6][7]. Harte's state-variable approach to macro-ecological metrics covers both and is based on maximum entropy [8][9][10], very closely similar to statistical mechanics [7]. A more general review of the application of statistical mechanics in biology is given by Frank [11].…”

Section: Introductionmentioning

confidence: 99%

On the Statistical Mechanics of Alien Species Distribution

Bowler

Kelly

2017

Entropy

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Many species of plants are found in regions to which they are alien. Their global distributions are characterised by a family of exponential functions of the kind that arise in elementary statistical mechanics (an example in ecology is MacArthur's broken stick). We show here that all these functions are quantitatively reproduced by a model containing a single parameter-some global resource partitioned at random on the two axes of species number and site number. A dynamical model generating this equilibrium is a two-fold stochastic process and suggests a curious and interesting biological interpretation in terms of niche structures fluctuating with time and productivity, with sites and species highly idiosyncratic. Idiosyncrasy implies that attempts to identify a priori those species likely to become naturalised are unlikely to be successful. Although this paper is primarily concerned with a particular problem in population biology, the two-fold stochastic process may be of more general interest.

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Maximum information entropy: a foundation for ecological theory

Cited by 192 publications

References 32 publications

Enhanced Mechanism to Detect and Mitigate Economic Denial of Sustainability (EDoS) Attack in Cloud Computing Environments

Enhanced Mechanism to Detect and Mitigate Economic Denial of Sustainability (EDoS) Attack in Cloud Computing Environments

On application of non—extensive statistical mechanics to studying ecological diversity

On the Statistical Mechanics of Alien Species Distribution

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