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Using Probabilistic Approach to Evaluate the Total Population Density on Coarse Grids

by Manal Alqhtani 1,2,* and Khaled M. Saad 2,3
1
School of Mathematics, College of Engineering and Physical Sciences, The University of Birmingham, Birmingham B15 2TT, UK
2
Department of Mathematics, College of Sciences and Arts, Najran University, Najran 11001, Saudi Arabia
3
Department of Mathematics, Faculty of Applied Science, Taiz University, Taiz 6803, Yemen
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(6), 658; https://doi.org/10.3390/e22060658
Received: 13 May 2020 / Revised: 9 June 2020 / Accepted: 11 June 2020 / Published: 14 June 2020
Evaluation of the population density in many ecological and biological problems requires a satisfactory degree of accuracy. Insufficient information about the population density, obtained from sampling procedures negatively, impacts on the accuracy of the estimate. When dealing with sparse ecological data, the asymptotic error estimate fails to achieve a reliable degree of accuracy. It is essential to investigate which factors affect the degree of accuracy of numerical integration methods. When the number of traps is less than the recommended threshold, the degree of accuracy will be negatively affected. Therefore, available numerical integration methods cannot guarantee a satisfactory degree of accuracy, and in this sense the error will be probabilistic rather than deterministic. In other words, the probabilistic approach is used instead of the deterministic approach in this instance; by considering the error as a random variable, the chance of obtaining an accurate estimation can be quantified. In the probabilistic approach, we determine a threshold number of grid nodes required to guarantee a desirable level of accuracy with the probability equal to one. View Full-Text
Keywords: sparse data; coarse grid; sampling; ecological monitoring sparse data; coarse grid; sampling; ecological monitoring
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Alqhtani, M.; Saad, K.M. Using Probabilistic Approach to Evaluate the Total Population Density on Coarse Grids. Entropy 2020, 22, 658.

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