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A Mathematical Investigation on the ...

Nass, Louis J.,

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A Mathematical Investigation on the Feedbacks Between Coral Landscapes and Their Associated Fish and Invertebrates /

Record Type:	Electronic resources : Monograph/item
Title/Author:	A Mathematical Investigation on the Feedbacks Between Coral Landscapes and Their Associated Fish and Invertebrates // Louis J Nass.
Author:	Nass, Louis J.,
Description:	1 electronic resource (126 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-01, Section: B.
Contained By:	Dissertations Abstracts International86-01B.
Subject:	Ecology. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31294308
ISBN:	9798383567708

A Mathematical Investigation on the Feedbacks Between Coral Landscapes and Their Associated Fish and Invertebrates /
Nass, Louis J.,

A Mathematical Investigation on the Feedbacks Between Coral Landscapes and Their Associated Fish and Invertebrates /Louis J Nass. - 1 electronic resource (126 pages)

Source: Dissertations Abstracts International, Volume: 86-01, Section: B.

Corals host a variety of fish and invertebrates that influence the population structure of the reef. Occupants have a net effect on a coral's life cycle processes, either to its benefit or detriment. Here, we develop a deterministic population model of the size-frequency of corals in a landscape affected by coral-associated fish and invertebrates (CAFI). We rigorously establish well-posedness and show conditional convergence to an equilibrium solution. We further analyze the net effect of CAFI on the size-frequency equilibrium and compare our results to previously established coral reef models. We demonstrate that deleterious CAFI generate landscapes with greater amounts of space unoccupied by corals, which, in comparison to a more beneficial CAFI effect, promotes landscapes with a greater abundance of small and large corals.Conversely, the size-frequency and spatial configuration of coral landscapes affect the population dynamics of CAFI. CAFI identify suitable habitats (corals) through the use of signals, especially chemicals emitted by corals. Therefore, the amount of certain sized corals (size-frequency) and relative neighboring distances (coral spatial orientation) of a landscape influence CAFI settlement and post-settlement information. We develop a model of the chemical profile of coral landscapes, and approximate the expected CAFI settlement and post-settlement densities to individual corals. Further, we illustrate how CAFI are stolen among corals in clustered environments, and are drawn to corals in isolation.

English

ISBN: 9798383567708Subjects--Topical Terms:

516476
Ecology.
Subjects--Index Terms:

Corals host

A Mathematical Investigation on the Feedbacks Between Coral Landscapes and Their Associated Fish and Invertebrates /
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100 1 $a Nass, Louis J., $e author. $3 3828296
245 1 2 $a A Mathematical Investigation on the Feedbacks Between Coral Landscapes and Their Associated Fish and Invertebrates / $c Louis J Nass.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2024
300 $a 1 electronic resource (126 pages)
336 $a text $b txt $2 rdacontent
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338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 86-01, Section: B.
500 $a Advisors: McKinley, Scott A. Committee members: Cortez, Ricardo; Fauci, Lisa J.; Osenberg, Craig W.; Punshon-Smith, Samuel.
502 $b Ph.D. $c Tulane University $d 2024.
520 $a Corals host a variety of fish and invertebrates that influence the population structure of the reef. Occupants have a net effect on a coral's life cycle processes, either to its benefit or detriment. Here, we develop a deterministic population model of the size-frequency of corals in a landscape affected by coral-associated fish and invertebrates (CAFI). We rigorously establish well-posedness and show conditional convergence to an equilibrium solution. We further analyze the net effect of CAFI on the size-frequency equilibrium and compare our results to previously established coral reef models. We demonstrate that deleterious CAFI generate landscapes with greater amounts of space unoccupied by corals, which, in comparison to a more beneficial CAFI effect, promotes landscapes with a greater abundance of small and large corals.Conversely, the size-frequency and spatial configuration of coral landscapes affect the population dynamics of CAFI. CAFI identify suitable habitats (corals) through the use of signals, especially chemicals emitted by corals. Therefore, the amount of certain sized corals (size-frequency) and relative neighboring distances (coral spatial orientation) of a landscape influence CAFI settlement and post-settlement information. We develop a model of the chemical profile of coral landscapes, and approximate the expected CAFI settlement and post-settlement densities to individual corals. Further, we illustrate how CAFI are stolen among corals in clustered environments, and are drawn to corals in isolation.
546 $a English
590 $a School code: 0235
650 4 $a Ecology. $3 516476
650 4 $a Aquatic sciences. $3 3174300
650 4 $a Biological oceanography. $3 2122748
653 $a Corals host
653 $a Coral landscapes
653 $a Size-frequency equilibrium
653 $a Invertebrate
653 $a Fish
690 $a 0329
690 $a 0416
690 $a 0792
710 2 $a Tulane University. $b Mathematics. $e degree granting institution. $3 3819232
720 1 $a McKinley, Scott A. $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-01B.
790 $a 0235
791 $a Ph.D.
792 $a 2024
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31294308