Bark beetle larval dynamics carved in the egg gallery: a study of mathematically reconstructing bark beetle tunnel maps
Abstract Scolytinae (bark beetle) is one of the most detrimental pests on the Chongming Island. It is desirable to understand the behaviour of the Scolytinae throughout its life cycle. Behaviour studies regarding mass attacks, mating behaviour and chemical control have been frequently reported in li...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-019-2452-2 |
| _version_ | 1818391699683016704 |
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| author | Hui Li Tianwei Li |
| author_facet | Hui Li Tianwei Li |
| author_sort | Hui Li |
| collection | DOAJ |
| description | Abstract Scolytinae (bark beetle) is one of the most detrimental pests on the Chongming Island. It is desirable to understand the behaviour of the Scolytinae throughout its life cycle. Behaviour studies regarding mass attacks, mating behaviour and chemical control have been frequently reported in literature. However, little research could be found regarding the life of Scolytinae in the larval stage, especially for beetles in the field. In this paper, we analyse the tunnel map beneath the tree bark, since it is a potential source of information on the population size, egg gallery and larval development. We propose four hypotheses including synchronous larval growth (SLG), outward normal direction (OND), communication and repulsion (CR) and individual differences(ID), then employ the methods of curve fitting and differential equation modelling to mathematically reconstruct the tunnel map. Furthermore, we introduce the Frechet distance to measure the similarity of curves. Numerical simulation shows that the reconstructed tunnel map closely matches the collected sample. |
| first_indexed | 2024-12-14T05:17:41Z |
| format | Article |
| id | doaj.art-8af3f46c73a440c5bb79a89267b058af |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-14T05:17:41Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-8af3f46c73a440c5bb79a89267b058af2022-12-21T23:15:45ZengSpringerOpenAdvances in Difference Equations1687-18472019-12-012019111610.1186/s13662-019-2452-2Bark beetle larval dynamics carved in the egg gallery: a study of mathematically reconstructing bark beetle tunnel mapsHui Li0Tianwei Li1Department of Computer Science and Technology, Beijing University of Chemical TechnologyBeijing No.14 Middle SchoolAbstract Scolytinae (bark beetle) is one of the most detrimental pests on the Chongming Island. It is desirable to understand the behaviour of the Scolytinae throughout its life cycle. Behaviour studies regarding mass attacks, mating behaviour and chemical control have been frequently reported in literature. However, little research could be found regarding the life of Scolytinae in the larval stage, especially for beetles in the field. In this paper, we analyse the tunnel map beneath the tree bark, since it is a potential source of information on the population size, egg gallery and larval development. We propose four hypotheses including synchronous larval growth (SLG), outward normal direction (OND), communication and repulsion (CR) and individual differences(ID), then employ the methods of curve fitting and differential equation modelling to mathematically reconstruct the tunnel map. Furthermore, we introduce the Frechet distance to measure the similarity of curves. Numerical simulation shows that the reconstructed tunnel map closely matches the collected sample.https://doi.org/10.1186/s13662-019-2452-2Bark beetleScolytinaeEgg galleryDynamicsCurve fitting |
| spellingShingle | Hui Li Tianwei Li Bark beetle larval dynamics carved in the egg gallery: a study of mathematically reconstructing bark beetle tunnel maps Advances in Difference Equations Bark beetle Scolytinae Egg gallery Dynamics Curve fitting |
| title | Bark beetle larval dynamics carved in the egg gallery: a study of mathematically reconstructing bark beetle tunnel maps |
| title_full | Bark beetle larval dynamics carved in the egg gallery: a study of mathematically reconstructing bark beetle tunnel maps |
| title_fullStr | Bark beetle larval dynamics carved in the egg gallery: a study of mathematically reconstructing bark beetle tunnel maps |
| title_full_unstemmed | Bark beetle larval dynamics carved in the egg gallery: a study of mathematically reconstructing bark beetle tunnel maps |
| title_short | Bark beetle larval dynamics carved in the egg gallery: a study of mathematically reconstructing bark beetle tunnel maps |
| title_sort | bark beetle larval dynamics carved in the egg gallery a study of mathematically reconstructing bark beetle tunnel maps |
| topic | Bark beetle Scolytinae Egg gallery Dynamics Curve fitting |
| url | https://doi.org/10.1186/s13662-019-2452-2 |
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