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용용과 모델 구성을 중시하는 수학과 교육 과정 개발 방안 탐색

  • Jeong Eun Sil
    • The Mathematical Education
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    • v.30 no.1
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    • pp.1-19
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    • 1991
  • This study intends to provide some desirable suggestions for the development of application oriented mathematics curriculum. More specific objects of this study is: 1. To identify the meaning of application and modelling in mathematics curriculm. 2. To illuminate the historical background of and trends in application and modelling in the mathematics curricula. 3. To consider the reasons for including application and modelling in the mathematics curriculum. 4. To find out some implication for developing application oriented mathematics curriculum. The meaning of application and modelling is clarified as follows: If an arbitrary area of extra-mathematical reality is submitted to any kind of treatment which invovles mathematical concepts, methods, results, topics, we shall speak of the process of applying mathemtaics to that area. For the result of the process we shall use the term an application of mathematics. Certain objects, relations between them, and structures belonging to the area under consideration are selected and translated into mathemtaical objects, relation and structures, which are said to represent the original ones. Now, the concept of mathematical model is defined as the collection of mathematical objcets, . relations, structures, and so on, irrespective of what area is being represented by the model and how. And the full process of constructing a mathematical model of a given area is called as modelling, or model-building. During the last few decades an enormous extension of the use of mathemtaics in other disciplines has occurred. Nowadays the concept of a mathematical model is often used and interest has turned to the dynamic interaction between the real world and mathematics, to the process translating a real situation into a mathematical model and vice versa. The continued growing importance of mathematics in everyday practice has not been reflected to the same extent in the teaching and learning of mathematics in school. In particular the world-wide 'New Maths Movement' of the 19608 actually caused a reduction of the importance of application and modelling in mathematics teaching. Eventually, in the 1970s, there was a reaction to the excessive formallism of 'New Maths', and a return in many countries to the importance of application and connections to the reality in mathematics teaching. However, the main emphasis was put on mathematical models. Applicaton and modelling should be part of the mathematics curriculum in order to: 1. Convince students, who lacks visible relevance to their present and future lives, that mathematical activities are worthwhile, and motivate their studies. 2. Assist the acqusition and understanding of mathematical ideas, concepts, methods, theories and provide illustrations and interpretations of them. 3. Prepare students for being able to practice application and modelling as private individuals or as citizens, at present or in the future. 4. Foster in students the ability to utilise mathematics in complex situations. Of these four reasons the first is rather defensive, serving to protect or strengthen the position of mathematics, whereas the last three imply a positive interest in application and modelling for their own sake or for their capacity to improve mathematics teaching. Suggestions, recomendations and implications for developing application oriented mathematics curriculum were made as follows: 1. Many applications and modelling case studies suitable for various levels should be investigated and published for the teacher. 2. Mathematics education both for general and vocational students should encompass application and modelling activities, of a constructive as well as analytical and critical nature. 3. Application and modelling activities should. be introduced in mathematics curriculum through the interdisciplinary integrated approach. 4. What are the central ideas of, and what are less-important topics of application-oriented curriculum should be studied and selected. 5. For any mathematics teacher, application and modelling should form part of pre- and in-service education.

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Life Experiences of Middle School Students from Broken Homes (결손가정 중학생의 생활경험)

  • Choe, Gee-Hyun;Chung, Yeon-Kang;Yeoum, Soon-Gyo
    • Journal of the Korean Society of School Health
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    • v.10 no.2
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    • pp.271-283
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    • 1997
  • This study is designed for the school health education, contributing experience of life from middle school students from broken homes by describing specifically what they go through. And on this basis this study works out a grounded theory on the experience of life for middle school students from broken homes. The data was collected through a series of interviews with nine subjects singled out at each stage of research. With the permission of the subjects, the interviews were recorded and transcribed. The interviews lasted from 30 minutes up to one hour and 20 minutes. The in-depth interviewing methods and observations was used for data collection. The data was analyzed in the framework of grounded theory as mapped out by Strauss & Corbin (1990). By analyzing the materials eighty-three concepts were extracted, and they were united into 21 subordinate categories through the course of analysis. These were classified into nine precedence categories. The core category was found to be the adaptation of 'Wichookdem" or "Shrinkage". "Shrinkage" widows experienced was showed as the results "Self-reliance" and "Overcoming" through the course of generation and reaction, confrontation, and adaptation. According to the analysis findings of materials, the central phenomenon was showed as "shrinkage", the causal condition as "surprise", "Darkness", "Grudge", "Desolate", "Empty". The veins as presence of those around people and existence of support, and the meditate situation as self-support. For the strategy in solving "shrinkage", preparations of countermeasure and self-reinforcement were showed. And self-reliance and overcoming were the results. Through the contrast to the cases of ground materials, relation statements as follows were induced; (1) The weaker the suffering is, the weaker the "shrinkage" tends to be. (2) The stronger the suffering is, the stronger the "shrinkage" tends to be. (3) The more frequent and serious the suffering, the stronger the "shrinkage" tend to be. (4) The more infrequent and not serious the suffering is, the weaker the "shrinkage" tends to be. (5) The weaker the "shrinkage" is, the more self-control1ed the responses tends to be. (6) The stronger the "shrinkage" is, the more impulsive the responses tends to be. (7) The more satisfying the support is, the more self-controlled the responses to the "shrinkage" tends to be. (8) The more dissatisfying the support is, the more impulsive the responses to the "shrinkage" tends to be. (9) The more concrete the type of support is, the more self-controlled the responses to the "shrinkage" tends to be. (10) The more superficial the type of support is, the more impulsive the responses to the "shrinkage" tends to be. (11) The more self-controlled the responses are, the more self-reliant the subjects tends to be. (12) The more impulsive the responses are, the more conflict and wandering the subjects tends to be. (13) Whether the responses to the "shrinkage" express themselves in self-control or an impulse, it will be resulted in the form of either tension or pain. The following two were confirmed on the basis of repetitive relations; (1) If a subject's suffering is weak, infrequent and not serious, the "shrinkage" is weak. Also the subject's support is highly satisfying, and the support type is concrete. The responses to the "shrinkage" result in self-control which consequence is self-reliance with part. of it resulting in tension and pain. (2) If a subject's suffering is strong, frequent and serious, the "shrinkage" is strong. Also the subject's support is dissatisfying, and the support type is superficial. The responses to the "shrinkage" result in an impulsion whose consequence is wandering with part of it resulting in tension and pain. Through the results in this study, the following is to be suggested; O This research is basically aimed at analyzing the experience of the middle school students living in broken homes, for the more inclusive approach, the study for them is made systematically according to the type of their problems.

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Predicting the Goshawk's habitat area using Species Distribution Modeling: Case Study area Chungcheongbuk-do, South Korea (종분포모형을 이용한 참매의 서식지 예측 -충청북도를 대상으로-)

  • Cho, Hae-Jin;Kim, Dal-Ho;Shin, Man-Seok;Kang, Tehan;Lee, Myungwoo
    • Korean Journal of Environment and Ecology
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    • v.29 no.3
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    • pp.333-343
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    • 2015
  • This research aims at identifying the goshawk's possible and replaceable breeding ground by using the MaxEnt prediction model which has so far been insufficiently used in Korea, and providing evidence to expand possible protection areas for the goshawk's breeding for the future. The field research identified 10 goshawk's nests, and 23 appearance points confirmed during the 3rd round of environmental research were used for analysis. 4 geomorphic, 3 environmental, 7 distance, and 9 weather factors were used as model variables. The final environmental variables were selected through non-parametric verification between appearance and non-appearance coordinates identified by random sampling. The final predictive model (MaxEnt) was structured using 10 factors related to breeding ground and 7 factors related to appearance area selected by statistics verification. According to the results of the study, the factor that affected breeding point structure model the most was temperature seasonality, followed by distance from mixforest, density-class on the forest map and relief energy. The factor that affected appearance point structure model the most was temperature seasonality, followed by distance from rivers and ponds, distance from agricultural land and gradient. The nature of the goshawk's breeding environment and habit to breed inside forests were reflected in this modeling that targets breeding points. The northern central area which is about $189.5 km^2$(2.55 %) is expected to be suitable breeding ground. Large cities such as Cheongju and Chungju are located in the southern part of Chungcheongbuk-do whereas the northern part of Chungcheongbuk-do has evenly distributed forests and farmlands, which helps goshawks have a scope of influence and food source to breed. Appearance point modeling predicted an area of $3,071 km^2$(41.38 %) showing a wider ranging habitat than that of the breeding point modeling due to some limitations such as limited moving observation and non-consideration of seasonal changes. When targeting the breeding points, a specific predictive area can be deduced but it is difficult to check the points of nests and it is impossible to reflect the goshawk's behavioral area. On the other hand, when targeting appearance points, a wider ranging area can be covered but it is less accurate compared to predictive breeding point since simple movements and constant use status are not reflected. However, with these results, the goshawk's habitat can be predicted with reasonable accuracy. In particular, it is necessary to apply precise predictive breeding area data based on habitat modeling results when enforcing an environmental evaluation or establishing a development plan.

The Effect of Positive end Expiratory pressure on the Pulmonary Capillary Pressure in Acute Lung Injury Patients (급성폐손상환자에서 호기말양압의 변화가 폐모세혈관압에 미치는 영향)

  • Chung, Byung-Chun;Byun, Chang-Gyoo;Lee, Chang-Youl;Kim, Hyung-Jung;An, Chul-Min;Kim, Sung-Kyu;Shin, Cheung-Soo
    • Tuberculosis and Respiratory Diseases
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    • v.49 no.5
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    • pp.594-600
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    • 2000
  • Background : Positive end expiratory pressure (PEEP) ventilation is well established as an integral part of the management of patients with the acute lung injury. PEEP is a key element in the treatment of hypoxemia resulting from pulmonary edema. Pulmonary capillary pressure (Pcap) is the most important factor influencing lung edema formation, and an understanding of how Pcap is altered by variations of PEEP or pulmonary arterial occlusion pressure (PAOP) is important to improve the treatment of acute lung injury patients. This study was performed to evaluate the effects of PEEP on the pulmonary capillary pressure in acute lung injury patients. Methods : This was a prospective study of 11 acute lung injury patients. The effect of PEEP on pulmonary circulation at four different levels (0,4,8, and 12cm$H_2O$) was analyzed. Pcap was estimated visually at bed side with Swan Ganz catheters. The pulmonary vasculature was analyzed by calculating the pressure difference at the arterial and venous parts of the circulation. Results: As PEEP increased from 0 to 12 cm$H_2O$, the mean pulmonary arterial pressure (PAP) and Pcap increased respectively from $22.7{\pm}7.4$ to $25.3{\pm}7.3$ mmHg and $15.3{\pm}3.3$ to $17.8{\pm}3.2$ mmHg (p<0.05). Similarly, PAOP increased from $9.8{\pm}2.1$ to $12.8{\pm}2.1$ mmHg and the central venous pressure increased from $6.1{\pm}1.6$ to $9.3{\pm}2.3$ mmHg(p<0.05). However, the pressure gradient at the arterial (PAP-Pcap) and venous (Pcap-Pcwp) parts of pulmonary circulation remained unchanged at all evaluated PEEP levels. Conclusion : Although Pcap increased gradually with increased the pressure gradient at the arterial and venous part of the pulmonary vasculature remained unchanged at all evaluated PEEP levels in acute lung injury patients.

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The Landscape Organization of the Dodong-SeoWon in the Aesthetics of Moderation (중용(中庸)의 미학으로 살핀 도동서원(道東書院)의 경관짜임)

  • Rho, Jae-Hyun;Shin, Byung-Chul
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.30 no.4
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    • pp.44-55
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    • 2012
  • This study is to interpret how landscape aesthetic characteristics of moderation, which is the point of human-oriented neo-confucianism vision, are projected to the landscape organization of a Dodong-SeoWon, known for its overflow to neo-confucianism grounds and standards among domestic SeoWon. The aspects of neo-confucianism discussion in the shape of Dodong-SeoWon with the beauty of from and contents dominating the landscape of Dodong-SeoWon different from constructive completeness as 7 external and internal landscape organization including placement, circulation, setting, vista, fencing, naming, and decoration are as follows. The left direction of Dodong-SeoWon, part of external organization, is the result of landscape organization that emphasized the stage of moderation through the unification of man and nature by naturalizing natural direction to human-oriented directions. Important aspects to rule external orders and standards of Dodong-SeoWon are principles of one classes based on ranks and bilateral symmetry that is the unity of setting and circulation landscape organization from penetrating the spirit of moderation with no bias. By securing territoriality by fencing the unity of verticality and horizontality, the landscape organization to reach moderation is expressed. Meanwhile, Suwoloo(水月樓) perceived on the floor of central assembly hall, the formation of time frame from roof piles of Hwanjumun(喚主門) as well as pilars of Jungjeongdang(中正堂), and rime link method inducing visual balance and openness through segment, combination, and others are vista organization that show the ideality of unique neo-confucianism building. Also as part of landscape organization contents. semantically, building name including arrangement from Taegukdoseol, ideological naming following the name of Ssanggye-SeoWon, which is the former body, the name of the hall symbolizing the transfer of neo-confucianism enlightenment, impartiality with no bias, as well as Geoinjae(居仁齋) and Geoijae(居義齋) based on olympic, are also results of applying neo-confucianism standards. Additionally. the SeoHoe(瑞花) expressing the change of IleumIlyang(一陰一陽) on the stylobate of Jungjeongdang, Saeho(細虎) which goes up and down, as well as Simul made of four dragons, are artistic expression of the moderation that symbolizes the harmony of ying and yang with no exceeding or insufficiency. Humorous and unique rocks and stones evenly arranged in all spots of Dodong-SeoWon are to promote anti-strict organization by offsetting the image and external order of the lecture hall as strict as it is, and this is very ironic as it is the other landscape organization in different dimension as well as the expression of moderation.

Characterization of Biopesticides (Bacillus thuringiensis) Produced in Korea (국내에서 생산된 Bacillus thuringiensis 살충제의 특성)

  • Kil, Mi-Ra;Kim, Da-A;Choi, Su-Yeon;Paek, Seung-Kyoung;Kim, Jin-Su;Jin, Da-Yong;Hwang, In-Chon;Yu, Yong-Man
    • The Korean Journal of Pesticide Science
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    • v.11 no.3
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    • pp.201-209
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    • 2007
  • Characteristics of the 5 biopesticides that included Bacillus thuringiensis and on the domestic markets were investigated. These products were contained different strains of B. thuringiensis, for examples; product A and E was B. thuringiensis subsp aizawai; product B was B. thuringiensis; product C was B. thuringiensis Berline var. kurstaki; product D was B. thuringiensis var. kurstaki. Number of active spores were counted because they could influence the bio-activity against target pests. Only product C are contained the fixed quantity as its label, however, product D and E were a tenth part, and product A and B were a hundredth part of their descriptions. The pHs of product A and B were measured 3.67 and 3.73, and C, D and E were 5, respectively. Typical bypyramidal crystals produced from B. thuringiensis was found in only product C under a phase contrast microscope. For the uniform formulation of products that conformed whether B. thuringiensis were equally spreaded on the crops, B. thuringiensis in the C, D and E were equally grown on the nutrient agar medium As a results, product A were more different from product C than any other products. When product A and C were bioassayed against different larval stages of diamondback moth, their mortalities with spraying application were showed 100% after 48 hours.

Geophysical Studies on Major Faults in the Gyeonggi Massif : Gravity and Electrical Surveys In the Gongju Basin (경기육괴내 주요 단층대의 지구물리학적 연구: 공주분지의 중력 및 지전기 탐사)

  • Kwon Byung-Doo;Jung Gyung-Ja;Baag Chang-Eob
    • The Korean Journal of Petroleum Geology
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    • v.2 no.2 s.3
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    • pp.43-50
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    • 1994
  • The geologic structure of Gongju Basin, which is a Cretaceous sedimentary basin located on the boundary of Gyeonggi Massif and Ogcheon Belt, is modeled by using gravity data and interpreted in relation with basin forming tectonism. The electrical survey with dipole-dipole array was also conducted to uncover the development of fractures in the two fault zones which form the boundaries of the basin. In the process of gravity data reduction, the terrain correction was performed by using the conic prism model, which showed better results specially for topography having a steep slope. The gravity model of the geologic structure of Gongju basin is obtained by forward modeling based on the surface geology and density inversion. It reveals that the width of the basin at its central part is about $4{\cal}km$ and about $2.5{\cal}km$ at the southern part. The depth of crystalline basement beneath sedimentary rocks of the basin is about $700{\~}400{\cal}m$ below the sea level and it is thinner in the center than in margin. The fault of the southeastern boundary appears more clearly than that of the northwestern boundary, and its fracture zone may extended to the depth of more than $1{\cal}km$. Therefore, it is thought that the tectonic movement along the fault in the southeastern boundary was much stronger. These results coincide with the appearance of broad low resistivity anomaly at the southeastern boundary of the basin in the resistivity section. The fracture zones having low density are also recognized inside the basin from the gravity model. The swelling feature of basement and the fractures in sedimentary rocks of the basin suggest that the compressional tectonic stress had also involved after the deposition of the Cretaceous sediments.

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A Study on the Buddhist Stone Arts of Mt. Bukhan (북한산 불교 석조미술 연구)

  • Lee, Seohyun
    • Korean Journal of Heritage: History & Science
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    • v.52 no.1
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    • pp.90-119
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    • 2019
  • The purpose of this study is to investigate the significance of Buddhist stone art in the cultural zone of Mt. Bukhan. Mt. Bukhan witnessed the prevalence of Buddhist culture in and around it since the introduction of Korean Buddhism and served as the center of Buddhist culture in the nation, where new Buddhist temples continued to be built from the Three Kingdoms Period to the Joseon Period. Of the characteristics of its Buddhist culture, it is very noteworthy that the construction of military temples in and around it in the latter half of Joseon supported the function of Buddhist temples as basic places of worship. These military temples were closely related to the mountain's geopolitical location, traffic routes, and position in the national defense system-- its mountain fortress was an important defense facility. The stone art works of Mt. Bukhan can be categorized into various types, including stone stupas, stone pagodas, rock-carved Buddhas, stone Buddhas, towers and monuments (stone monuments), stone lanterns, flagpole supports, and rock-carved sarira pagodas. There are diverse types of stone art left on the mountain. As for its period characteristics, it is clear that the Buddhist art of Silla spread even to the Gyeonggi region, and that most of the works of stone art were created during the first half of Goryeo and the latter half of Joseon. Starting in Goryeo, the Buddhist temples of the mountain maintained close relations with the royal court by operating as the royal buddhist shrine for the royal family. In the latter part of Joseon, the construction of the Bukhan mountain fortress became the most important opportunity to produce stone art. As for the distribution of the stone artwork, it was usually created in the west part of the mountain from Unified Silla to the first half of Goryeo and in the southern and eastern parts of the mountain from the latter half of Goryeo to the latter half of Joseon. It is estimated that central Buddhist temples of the mountain changed due to Silla's military goal of advancing toward the west coast along the Han River in its early days and the construction of the Bukhan mountain fortress in the latter half of Joseon to protect the capital city. Finally, the stone art of Mt. Bukhan holds very high significance in art history because various types of stone art continued to be created on and around the mountain, the stone artwork of the mountain reflected representative styles for each period, and e rare and ofthe works produced on the mountain exemplified rare and unique styles.

A Study on the Architectural Characteristic Jang-Dae of Castle in the Joseon Dynasty (조선시대 성곽 장대의 건축특성에 관한 연구)

  • Kim, Ki-hyeon;Chang, Hun-duck
    • Korean Journal of Heritage: History & Science
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    • v.48 no.2
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    • pp.120-141
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    • 2015
  • This paper is a preliminary study of architectural characteristics of Jangdae (general's podium), which shows one of the technical changes in fortification of Joseon Dynasty. As a facility for commands of generals and training for officers and men, it was located inside a fortress. Although it is not certain when the first Jangdae was built, the number of them dramatically increased around 18th century. Since the top priority function of the Jangdae was the prospect, it was installed at the hilly spot with open architecture. In addition, the open structure of Eupseong fortress towers on the riverside banks could simultaneously offer the functions as viewing around and Jangdae. Since Jangdae was also a place for military drills and reviews of soldiers, a wide podium was positioned at the front to muster the soldiers. This feature was standardized in the space organization of Jangdae in Joseon, and a mere podium was installed unless the topographic restrictions allows enough space. On the other hand, as a place for a commander, the hierarchy of the Jangdae was revealed through a variety of architectural characteristics. The hierarchy was assigned to the commander's space through the altitude difference, and diverse ornaments were added to show a sense of class. The floor plan of the Jangdae building can be largely categorized into rectangle and square, and the typical sizes of the former are $5{\times}4$ Kans (traditional measuring unit between two columns) and $3{\times}2$ Kans. Out of these two types, buildings of $5{\times}4$ Kans were found in flat land and eupseong fortresses with large space, and the relatively smaller ones of $3{\times}2$ Kans in mountain fortresses. All buildings of square floor plan had $3{\times}3$ Kans style, and the center Kan was twice wider than the side Kan to make the central space wide. It seems that the purpose was to secure the interior space of the upper story because the center Kan accounts for the floor area of the upper story. Some Jangdae's had internal story to form overhead space. The multi-roofed tower style with eaves attached to the upper and lower story is found exclusively in Jangdae. The buildings shows the Onkanmulim style which extends Naejinju (inner column) of the lower story to be the Byeonju (outer column) of the upper story, and the log-framed floor in the upper floor was structured by inserting the Changbang (connecting beam) between the Naejinju's and joining the log frames. In addition, the towers in eupseong fortresses had log-framed floor in the upper floor by setting up the high Nuhaju (column underneath a roof) and joining Cheongbang to the upper part of the column while it cannot be regarded as multi-roofed because only the upper part has a roof.

Influence of Large-Scale Environments on Tropical Cyclone Activity over the Western North Pacific: A Case Study for 2009 (대규모 순환장이 북서태평양 태풍활동에 끼치는 영향: 2009년의 예)

  • Choi, Woosuk;Ho, Chang-Hoi;Kim, Hyeong-Seog
    • Journal of Climate Change Research
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    • v.1 no.2
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    • pp.133-145
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    • 2010
  • This study examined the characteristics of tropical cyclone(TC) activity over the western North Pacific(WNP) in 2009. Twenty-two TCs formed in 2009, which is slightly below normal(1979~2009 average: 25.8) and most of these occurred during the months of July to October. Most TCs in 2009 was formed over the northern Philippines and the eastern part of the WNP and they moved towards the South China Sea and the east of Japan, resulting in less TC affecting the East China Sea and Korea. The TC activity in 2009 is modulated by the large-scale circulations induced by the El $Ni{\tilde{n}}o$ and vigorous convection activity over the WNP. As the general characteristics of El $Ni{\tilde{n}}o$ year, the difference in sea surface temperature between the central Pacific and the eastern Pacific causes an anomalous westerly winds, expanding the WNP monsoon trough farther eastward. Accordingly, TC formation has relatively increased in the east part of the WNP. Active convection activities over the subtropical western Pacific excite a Rossby wave propagating from the South China Sea to mid-latitudes, resulting in an anomalous easterly steering flow in the South China, anomalous northwesterly over the East China Sea and Korea, and anomalous southwesterly over the east of Japan. Summing up, the TCs cannot enter the East China Sea and Korean region and instead they move towards the South China Sea or south-east of Japan. There were no effects of TCs in Korea in 2009. It is anticipated that this study which analyzed unusual TC activity and large-scale circulations in 2009 would help the predictability of TC effects to increase according to climate change in the East Asia.