• 제목/요약/키워드: canonical correspondence analysis

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가중주성분분석을 활용한 정준대응분석과 가우시안 반응 모형에 의한 정준대응분석의 동일성 연구 (Equivalence study of canonical correspondence analysis by weighted principal component analysis and canonical correspondence analysis by Gaussian response model)

  • 정형철
    • 응용통계연구
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    • 제34권6호
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    • pp.945-956
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    • 2021
  • 본 연구에서는 가중주성분분석으로부터 정준대응분석을 유도하는 Legendre와 Legendre (2012)의 알고리즘을 고찰하였다. 그리고, 가중주성분분석에 기반한 Legendre와 Legendre (2012)의 정준대응분석이 가우시안 반응모형에 기초한 Ter Braak (1986)의 정준대응분석과 동일함을 다루었다. 생태학에서 종의 발현 정도를 잘 설명할 수 있는 가우시안 반응곡선에서 도출된 Ter Braak (1986)의 정준대응분석은 종 패킹 모형(species packing model)이라는 기본 가정을 사용한 후 일반화선형모형과 정준상관분석을 결합시키는 방법으로 도출된다. 그런데 Legendre와 Legendre (2012)의 알고리즘은 이러한 가정없이 Benzecri의 대응분석과 상당히 유사한 방법으로 계산되는 특징을 지닌다. 그러므로 가중주성분석에 기초한 정준대응분석을 사용하면, 결과물 활용에 약간의 유연성을 지닐 수 있게 된다. 결론적으로 본 연구에서는 서로 다른 모형에서 출발한 두 방법이 장소점수(site score), 종 점수(species score) 그리고 환경변수와의 상관관계가 서로 동일함을 보인다.

Canonical Correspondence Analysis(CCA)에 의한 덕유산 국립공원의 삼림식생분석 (Canonical Correspondence Analysis(CCA) on the Forest Vegetation of Mt. Togyu National Park, Korea)

  • 김창환;길봉섭
    • The Korean Journal of Ecology
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    • 제20권2호
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    • pp.125-132
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    • 1997
  • A study of forest vegetation in Mt. $T\v{o}kyu$ National Park was investigated by ordination technique. By TWINSPAN(Two-Way Indicator Species Analysis) method, 10 groups were recognized as follows: pinus densiflora, Quercus variabilis, Quercus serrata, Quercus mongolica-Rhododendron schlippenbachii, Quercus mongolica-Abies koreana, Quercus mongolica-Acer pseudo-sieboldi-amum, Quercus mongolica-Symplocos chinensis for. pilosa, Carpinus laxiflora, Fraxinus mandshurica and Taxus cuspidata groups. The floristic composition of these groups showed high correlation to soil moisture(r=0.831), altitude(r=0.784), topography(r=-0.722), organic matter(r=0.642), and pH(r=-0.509) among various environmental factors. According to the results of CCA(Canonical Correspondence Analysis) Pinus densiflora group and Quercus variabilis group were situated in a xeric area at a lower altitude where soil nutrients were poor compared with the other groups. Fraxinus mandshurica group was distributed throughout the valley with high soil moisture and good nutrients, Quercus serrata group and Carpinus laxiflora group were found in the low altitude region with good nutrients, Quercus mongolica group, at the high altitude region with good nutrients, and Quercus mongolica-Acer koreana and Taxus cuspidata at higher altitudes(1, 400-1600 m).

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정준대응분석에서 붓스트랩 방법 활용 (Applications of Bootstrap Methods for Canonical Correspondence Analysis)

  • 고현석;전명식;정형철
    • 응용통계연구
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    • 제28권3호
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    • pp.485-494
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    • 2015
  • 정준대응분석은 생태학에서 장소, 종 그리고 환경변수의 관계를 시각적으로 보기 위해 가장 많이 사용되는 서열화 방법 중의 하나이다. 그런데 이 방법은 표본이 바뀔 때마다 분석결과가 달라지기 때문에 종 간의 생태학적 유사성에 대한 일관된 해석을 어렵게 한다. 본 연구에서는 이러한 문제점을 해결하기 위해 정준대응분석에 붓스트랩 방법을 활용하였다. 이를 통해 전체 관찰 자료수에 반비례하여 좌표점의 변이가 나타나고, 붓스트랩 신뢰구간을 사용한 포함확률이 명목확률에 근사함을 확인하였다.

생태학의 통계적 서열화 방법 비교에 관한 연구 (A Comparison Study for Ordination Methods in Ecology)

  • 고현석;전명식;정형철
    • 응용통계연구
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    • 제28권1호
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    • pp.49-60
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    • 2015
  • 군생태학에서 종, 장소 그리고 환경변수의 관계를 시각적으로 보기 위해 대응분석, 정준대응분석 등 다양한 서열화방법들을 사용한다. Ter Braak (1986), Jackson 등 (1991), Parmer (1993) 등은 고유값 및 거리그래프를 이용하여 서열화방법들을 비교하고 있는데, 이 방법들은 조사된 데이터에 근거하고 있기 때문에, 모집단과 행렬도의 관계를 보여주지는 못한다. 따라서, 본 논문에서는 행렬도에 모집단 정보의 표현정도를 측정하는 방법을 소개하고, 이를 활용하여 서열화방법들을 객관적으로 비교하였다. 비교결과, 정준대응분석은 대응분석과 유사한 정분류율을 유지하면서도 환경정보를 이차원 공간에 표현할 수 있는 장점을 지닌 분석임을 확인하였다.

Relationship between Plant Species Covers and Soil Chemical Properties in Poorly Controlled Waste Landfill Sites

  • Kim, Kee-Dae;Lee, Eun-Ju
    • Journal of Ecology and Environment
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    • 제30권1호
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    • pp.39-47
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    • 2007
  • The relationships between the cover of herbaceous species and 15 soil chemical properties (organic carbon contents, total N, available P, exchangeable K, Na, Ca and Mg, HCl-extractable Cd, Cr, Cu, Fe, Mn, Ni, Pb and Zn) in nine poorly controlled waste landfill sites in Korea were examined by correlation analysis and multiple regression equations. Species showed different patterns of correlation between their cover values and soil chemical properties. The cover of Ambrosia artemisiifolia var. elatior, Aster subulatus var. sandwicensis and Erechtites hieracifolia were negatively correlated with the contents of Fe, Mn and Ni within landfill soils. Total cover of all species in quadrats was positively correlated with the contents of Cd and negatively correlated with the contents of Mn and Fe from stepwise regression analysis with 15 soil properties. Canonical correspondence analysis demonstrated that the distribution of native and exotic plants on poorly controlled landfills was significantly influenced by the contents of Na and Ca in soils, respectively.

서열법에 의한 만경강 하천식생의 분석 (Canonical Correspondence Analysis of Riparian Vegetation in Mankyeong River, Jeollabuk-do)

  • 김영식;김창환;이경보
    • 한국환경과학회지
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    • 제11권10호
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    • pp.1031-1037
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    • 2002
  • CCA (Canonical Correspondence Analysis) was used so as to analyze the relation between vegetation and soil environment of Mankyeong river located in Jeollabuk-do. Vegetation survey consulted 1:5,000 topographical map, set up 30 plot and analyzed from June, 2001, to september, 2001. Plant communities of Mankyeong river was investigated by phytosocialogical method. The species composition of plant communities showed high correlation to soil pH, soil organic matter, $P_2$$O_5$, total nitrogen, EC, when they were analyed by CCA. According to the results of CCA hydrophyte communities were distributed in the region that high pH. But the vegetation of disturbed site and wetland plants were distributed in a good nutrients.

낙동강의 하천환경과 식생분포특성의 상관성 조사연구 (The Study of Correlation between Riparian Environment and Vegetation Distribution in Nakdong River)

  • 김은진;조강현;강준구
    • 한국수자원학회논문집
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    • 제47권4호
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    • pp.321-330
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    • 2014
  • 본 연구는 국내를 대표하는 모래하천 낙동강에서 하안식생의 분포와 환경요인의 상관관계를 규명하기 위하여 수행하였다. 경상북도 안동시의 낙동강 일대에서 자연제방 5곳을 실험구간으로 선정하고 84개의 방형구를 설치하여 식물상, 식생피도, 평수위기준상대고도, 토양의 수분함량, 유기물함량, pH, 전기전도도 및 토성분석을 실시하였다. 식생단면조사의 피도값과 환경자료를 바탕으로 정준대응분석(Canonical correspondence analysis)을 실시한 결과 각 식물종은 평수위기준상대고도, 유기물함량, 모래함량 등에 의하여 3개의 그룹으로 구분되었으며 하천의 식생분포에 가장 큰 영향력을 끼치는 환경인자는 평수위기준상대고도로 나타났다.

DCCA 와 Polar Ordination 에 依한 無等山의 森林 群落 分析 (Detrended canonical correspondence analysis and polar ordination analysis on the forest communities of mudungsan.)

  • Kim, Chang-Hwan;Kil, Bong-Seop
    • The Korean Journal of Ecology
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    • 제15권2호
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    • pp.117-125
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    • 1992
  • TWINSPAN(two-way indicator species analysis), DCCA(detrended canonical correspondence analysis) and polar ordination method wee used so as to analyze the the relation between forest vegetation and hibitat of mudungsan(1, 187m) located in kwangju area. Vegetationsurvey consulted 1:25, 000 topographical map, set up 41 quadrats and analyzed from April, 1990 to August, 1991. Forest vegetation of mudungsan was classifild to quercus acutissima community, fraxinus mandshurica community, quercus mongolica community, quercus serrata community, quercus dentata community, quercus variabilis community, and pinus densiflora community by TWINSPANmethod, and this almost coincide with the result of plar ordination. according to DCCA analysis, P. densiflora community was formed in xeric and low altitude region which soil nutrient was poor, compared with other communities. q. variabilis and q. acutissima community wee distributed in the region that low altitude and organic matter content was comparatively low, but q. acutissima community was formed in a damp region while q. variabilis community in a xeric region. q. mongolica and f. mandshurica formed the communities in a high altitude region, especially f. mandshurica cmmunity was distributed in a high humidity region. According to polar ordination analysis, the forest vegetation was classified to 7 communities by means of environmental gradient such as humidity, organic matter, ph, temperature, c.e.c and P2O5.

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산간계류(청계산)의 물리적 환경요인과 생물지수의 관계 (Relationship between Physical Environmental Factors and Biological Indices of A Mountain Valley Stream (Mt. Cheoggye))

  • 여민정;공동수
    • 한국물환경학회지
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    • 제39권4호
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    • pp.288-301
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    • 2023
  • This study aims to identify benthic macroinvertebrate fauna inhabiting at the mountain valley stream (Mt. Cheonggye) in Korea and the relationship between physical environmental factors and biological indices. Benthic macroinvertebrates were collected at five locations on August 24 and October 14, 2020, and were identified as 4 phyla, 7 classes, 16 orders, 42 families, and 72 species. Dominance ranged from 0.38 to 0.59, diversity 2.81 to 3.75, richness 3.25 to 4.63, evenness 0.65 to 0.84, and %EPT (Ephemeroptera-PlecopteraTrichoptera) richness value 42% to 73%, respectively. All sites were evaluated as a very good status by mostly biological indices based on tolerance of indicator organisms in Korea. As a result of principal component analysis, biological indices are classified into species-level indices and higher cartegory-level indices according to the taxonomic level of the indicator organism considered in each index. As a result of canonical correspondence analysis, it was confirmed that current velocity was a major factor that increased species richness and classified biological indices according to taxonomic category level. Water depth was a major factor related to the community indices, and the deeper the water depth, the lower the diversity and the evenness.

충북 청주지역 리기다소나무와 밤나무의 상대 생장률과 기후인자와의 관계 (Relationship between Climate Factors and Relative Growth of Pinus rigida and Castanea crenata in the Cheongju Area of Chungbuk)

  • 김기대
    • 한국환경과학회지
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    • 제26권5호
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    • pp.585-590
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    • 2017
  • The Diameter at Breast Height (DBH) provides information about the volume growth of a tree. In this study, we estimated the relative growth rates of Castanea crenata and Pinus rigida as 4.07% and 3.73%, respectively. Although the difference was low, we demonstrated that the growth rate of C. crenata is slightly faster than that of P. rigida. After calculating the relative growth rate for each section, we found that the relative growth of C. crenata decreased with time. However, the relative growth rate of P. rigida showed an overall increase. The gap widths of both species showed an increasing trend. However, the gradient of the two species was different. The gradient of C. crenata was approximately 12.0, but that of P. rigida was approximately 4.7. This means that the volume growth of C. crenata was faster than that of P. rigida during 4 years. However, this was relatively a short period for measuring the volume growth pattern, and we believe that additional useful information can be obtained by conducting long-term ecological monitoring. Results of canonical correspondence analysis showed that among the climate variables, temperature was significantly related to the gap widths for both species.