CN117093806A - Remote sensing-based full-space coverage offshore atmosphere CO 2 Column concentration calculation method - Google Patents

Remote sensing-based full-space coverage offshore atmosphere CO 2 Column concentration calculation method Download PDF

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CN117093806A
CN117093806A CN202311329702.XA CN202311329702A CN117093806A CN 117093806 A CN117093806 A CN 117093806A CN 202311329702 A CN202311329702 A CN 202311329702A CN 117093806 A CN117093806 A CN 117093806A
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周芳成
刘少军
田光辉
蔡大鑫
韩秀珍
唐世浩
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National Satellite Meteorological Center
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Abstract

The invention discloses a remote sensing-based full-space coverage offshore atmosphere CO 2 The invention relates to a method for calculating column concentration, in particular to CO 2 The field of column concentration calculation methods includes: step 1: land to sea atmosphere CO 2 Effect of column concentration the red band reflectance corrected for atmosphere can be used to construct a seawater eutrophication index, step 2: reconstructing missing data by a space-time interpolation method, and step 3: standardization processing, step 4: constructing a predicted random forest model by adopting a random forest method, and step 5: according to the downloaded data and the calculated seawater eutrophication index data, the step 2 space-time interpolation method and the step 3 standardization treatment are carried out, and the random forest model trained in the step 4 is utilized, so that all-weather and full-coverage marine atmosphere CO is predicted 2 The method provided by the invention can effectively calculate the CO of the offshore atmosphere 2 Column concentration.

Description

基于遥感的全空间覆盖海上大气CO2柱浓度计算方法Calculation method of atmospheric CO2 column concentration at sea with full space coverage based on remote sensing

技术领域Technical field

本发明涉及CO2柱浓度计算方法领域,具体涉及基于遥感的全空间覆盖海上大气CO2柱浓度计算方法。The present invention relates to the field of CO 2 column concentration calculation methods, and specifically relates to a remote sensing-based full space coverage maritime atmospheric CO 2 column concentration calculation method.

背景技术Background technique

大气CO2柱浓度的探测可分为地基和空基两种方法。地基探测一般指设立站点进行观测,具有较高的精度,如全球碳柱总量观测网,是一个由地基傅立叶变换光谱仪组建的观测网络,可进行CO2,CH4,N2O,CO,H2O等要素的精密测量,但是其缺点是当前观测网络内的站点数较少,在全球范围内稀疏分布,无法反映大区域的连续大气内CO2的分布趋势。空基探测一般是基于某些专用于大气温室气体探测的卫星,如日本的GOSAT和GOSAT2、美国的OCO-2和OCO-3、中国的碳卫星等,利用其携带的短波红外波段对大气CO2进行探测,其最大的优点是随着卫星的绕地运动具有了全球覆盖的探测能力,但是其通道特性决定了观测重访周期较长,无法实现大区域每日的全覆盖探测。The detection of atmospheric CO2 column concentration can be divided into two methods: ground-based and space-based. Ground-based detection generally refers to the establishment of stations for observation, which has high accuracy. For example, the Global Carbon Column Total Observation Network is an observation network composed of ground-based Fourier transform spectrometers, which can conduct CO 2 , CH 4 , N 2 O, CO, Precise measurement of elements such as H 2 O, but its disadvantage is that the current observation network has a small number of stations and is sparsely distributed around the world, which cannot reflect the distribution trend of continuous atmospheric CO 2 in a large area. Space-based detection is generally based on certain satellites dedicated to atmospheric greenhouse gas detection, such as Japan's GOSAT and GOSAT2, the United States' OCO-2 and OCO-3, China's carbon satellite, etc., using the short-wave infrared band carried by them to detect atmospheric CO 2 for detection, its biggest advantage is that it has global coverage detection capabilities as the satellite moves around the earth. However, its channel characteristics determine that the observation revisit period is long, and it is impossible to achieve daily full coverage detection of large areas.

为了获得空间全覆盖的大气CO2柱浓度监测数据,空基探测是成本较低且在当前就可以实现的方法,但是碳卫星的观测方法存在重访周期长的问题。为了克服这个问题,常见的思路是利用风云卫星、MODIS等中分辨率卫星数据幅宽较宽、可以实现每日多次的对地球覆盖监测的优势,建立其在海-陆-气圈层反演得到的参数与碳卫星获得的大气CO2柱浓度的相关关系,进而实现基于中分辨率卫星数据的大气CO2柱浓度全覆盖监测。In order to obtain atmospheric CO 2 column concentration monitoring data with full space coverage, space-based detection is a low-cost method that can be implemented currently. However, the carbon satellite observation method has the problem of long revisit period. In order to overcome this problem, a common idea is to take advantage of the wide data width of medium-resolution satellites such as Fengyun Satellite and MODIS, which can achieve multiple times of daily coverage monitoring of the earth, and establish its reflection in the sea-land-atmosphere layer. The correlation between the parameters derived and the atmospheric CO 2 column concentration obtained by carbon satellites is achieved, thereby achieving full coverage monitoring of atmospheric CO 2 column concentration based on medium-resolution satellite data.

但是空基探测仍存在2个问题:However, there are still two problems in space-based detection:

(1)碳循环过程涉及生物圈、岩石圈、水圈及大气圈等多个圈层,虽然大气中CO2浓度相对稳定,但是受下垫面影响较为明显,海-气、陆-气之间CO2分压差的差异会导致大气中CO2浓度出现时空差异。当前对CO2柱浓度的关注重点在陆地上空,对海洋上空关注的较少。海洋和陆地有很多不同之处,陆地上空CO2柱浓度的监测方法并不适用于海洋上空,因此需要构建适用于海洋上空的大气CO2柱浓度监测新方法。(1) The carbon cycle process involves multiple layers such as the biosphere, lithosphere, hydrosphere and atmosphere. Although the concentration of CO 2 in the atmosphere is relatively stable, it is significantly affected by the underlying surface. Between sea-air and land-air Differences in CO2 partial pressure differences will lead to spatiotemporal differences in CO2 concentration in the atmosphere. The current focus on CO2 column concentration is over land, and less attention is paid to over oceans. There are many differences between the ocean and land. The monitoring method of CO2 column concentration over land is not suitable for the ocean. Therefore, it is necessary to construct a new method for monitoring atmospheric CO2 column concentration suitable for the ocean.

(2)MODIS等中分辨率卫星数据对大气和海洋参数的监测通常只局限于晴空区域,有云地区受云遮挡会造成数据缺失,因此当监测区域有云存在时也并不能实现每日的空间全覆盖大气CO2柱浓度监测。(2) The monitoring of atmospheric and oceanic parameters by medium-resolution satellite data such as MODIS is usually limited to clear-sky areas. Cloud obstruction in cloudy areas will cause data loss. Therefore, daily monitoring cannot be achieved when there are clouds in the monitoring area. Full spatial coverage of atmospheric CO2 column concentration monitoring.

为此我们提供基于遥感的全空间覆盖海上大气CO2柱浓度计算方法解决上述问题。To this end, we provide a remote sensing-based full-space coverage maritime atmospheric CO 2 column concentration calculation method to solve the above problems.

发明内容Contents of the invention

针对上述现有技术存在的问题,本发明提供了基于遥感的全空间覆盖海上大气CO2柱浓度计算方法,解决了因大气和海洋参数等数据缺失导致空间全覆盖大气CO2柱浓度监测存在缺失的问题。In view of the problems existing in the above-mentioned existing technologies, the present invention provides a remote sensing-based full-space coverage of the ocean atmospheric CO 2 column concentration calculation method, which solves the lack of full-space coverage of atmospheric CO 2 column concentration monitoring due to lack of data such as atmospheric and ocean parameters. The problem.

为了实现上述目的,本发明采用的基于遥感的全空间覆盖海上大气CO2柱浓度计算方法,包括:In order to achieve the above goals, the present invention adopts a remote sensing-based calculation method for the full-space atmospheric CO 2 column concentration covering the sea, including:

以MODIS数据为例,下载的数据有MODIS的三类数据,一类是海上参数:海表温度:SST、叶绿素a浓度:Chl-a、光合有效辐射:PAR;二类是大气参数:气溶胶光学厚度:AOT;三类是波段反射率:经过大气校正的红光波段反射率,以及OCO-2卫星的XCO2数据,XCO2数据即大气二氧化碳柱浓度;Taking MODIS data as an example, the downloaded data includes three types of MODIS data. The first type is maritime parameters: sea surface temperature: SST, chlorophyll a concentration: Chl-a, photosynthetically active radiation: PAR; the second type is atmospheric parameters: aerosols Optical thickness: AOT; the third category is band reflectivity: atmospherically corrected red light band reflectance, and XCO 2 data from the OCO-2 satellite. XCO 2 data is the atmospheric carbon dioxide column concentration;

步骤1:陆地对海上大气CO2柱浓度的影响可使用经过大气校正的红光波段反射率来构建海水富营养指数;Step 1: The influence of land on the atmospheric CO2 column concentration at sea can be used to construct the seawater eutrophication index using the atmospherically corrected red light band reflectance;

步骤2:通过时空插值方法,重构出缺失的数据;Step 2: Reconstruct the missing data through spatiotemporal interpolation method;

步骤3:标准化处理,海表温度、叶绿素a浓度、光合有效辐射、气溶胶光学厚度、海水富营养指数参数以及OCO-2的XCO2数据统一空间分辨率至0.05°,其中,海表温度、叶绿素a浓度、光合有效辐射、气溶胶光学厚度使用最邻近法插值,海水富营养指数和XCO2数据采用双线性法插值,统一为等经纬度投影;Step 3: Standardized processing, sea surface temperature, chlorophyll a concentration, photosynthetically active radiation, aerosol optical depth, seawater eutrophication index parameters and XCO 2 data of OCO-2 are unified to a spatial resolution of 0.05°, where sea surface temperature, Chlorophyll a concentration, photosynthetically active radiation, and aerosol optical thickness were interpolated using the nearest neighbor method, and seawater eutrophication index and XCO 2 data were interpolated using the bilinear method and unified into equal longitude and latitude projections;

步骤4:采用随机森林方法构建预测随机森林模型,海表温度、叶绿素a浓度、光合有效辐射、气溶胶光学厚度、海水富营养指数作为自变量,XCO2数据作为因变量:Step 4: Use the random forest method to build a predictive random forest model, with sea surface temperature, chlorophyll a concentration, photosynthetically active radiation, aerosol optical depth, and seawater eutrophication index as independent variables, and XCO 2 data as the dependent variable:

步骤5:根据下载的海表温度、叶绿素a浓度、光合有效辐射、气溶胶光学厚度数据,以及计算得到的海水富营养指数数据,经过步骤2的时空插值方法,步骤3的标准化处理,再利用步骤4中训练好的随机森林模型,即预测出全天候、全覆盖的海上大气CO2柱浓度数据。Step 5: Based on the downloaded sea surface temperature, chlorophyll a concentration, photosynthetically active radiation, aerosol optical thickness data, and calculated seawater eutrophication index data, go through the spatiotemporal interpolation method in step 2 and the standardization process in step 3, and then use The random forest model trained in step 4 predicts all-weather, full-coverage maritime atmospheric CO 2 column concentration data.

作为上述方案的进一步优化,所述叶绿素a浓度、光合有效辐射、气溶胶光学厚度、海水富营养指数均通过时空插值方法,重构出缺失的数据。As a further optimization of the above scheme, the chlorophyll a concentration, photosynthetically active radiation, aerosol optical thickness, and seawater eutrophication index were all reconstructed through spatiotemporal interpolation method to reconstruct the missing data.

作为上述方案的进一步优化,所述步骤1中的海水富营养指数使用SEI来表示:As a further optimization of the above scheme, the seawater eutrophication index in step 1 is expressed by SEI:

(1) (1)

其中,SEI是估算的海水富营养指数,是经过大气校正的红光波段反射率。Among them, SEI is the estimated seawater eutrophication index, is the atmospherically corrected red light band reflectance.

作为上述方案的进一步优化,所述步骤2中通过时空插值方法,重构出缺失的数据,以海表温度为例进行说明:As a further optimization of the above solution, in step 2, the missing data is reconstructed through the spatiotemporal interpolation method, taking sea surface temperature as an example for illustration:

首先,将研究区连续多天需要重构的海表温度数据设为矩阵,矩阵/>的行是某一空间位置点的所有时间序列值,列是某一时刻所有空间点的值,I为待重构的缺失点集,其中的缺失值用NaN表示,其工作流程如下:First, set the sea surface temperature data that needs to be reconstructed for multiple consecutive days in the study area as a matrix , matrix/> The rows are all time series values of a certain spatial location point, the columns are the values of all spatial points at a certain moment, I is the set of missing points to be reconstructed, and the missing values are represented by NaN. The workflow is as follows:

减去其时间维的有效平均值/>,时间维的有效平均值为不含缺失值的海表温度数据下时间维的平均值,得到X,从X中随机取出有效数据总量的1%作为交叉验证集/>,对对应位置的数据赋值为NaN,将X中所有NaN的点用0代替,定义P为模态保留数,此时P=1; Subtract the effective mean of its time dimension/> , the effective average value of the time dimension is the average value of the time dimension under the sea surface temperature data without missing values, and X is obtained. 1% of the total effective data is randomly taken from ,right The data at the corresponding position is assigned NaN, replace all NaN points in X with 0, define P as the modal retention number, at this time P=1;

对矩阵进行奇异值分解,有pair matrix Perform singular value decomposition, we have

(2) (2)

利用式(3)补齐缺失点数据(3);Use equation (3) to fill in missing point data (3);

然后根据式(4)计算与交叉验证集/>的均方根误差R:Then calculate according to equation (4) with cross-validation set/> The root mean square error R:

(4); (4);

为了使均方根误差R最小,令In order to minimize the root mean square error R, let

(5); (5);

再利用式(1)对作奇异值分解,重复步骤3,直到均方根误差R收敛;Reuse equation (1) for Perform singular value decomposition and repeat step 3 until the root mean square error R converges;

令模态保留数P=1,2,…,,重复公式(2)-(5),并记录对应P值下的均方根误差,此时总有一个P值能令/>最小,取此P值作为最优模态保留数k;Let the modal retention number P=1,2,…, , repeat formulas (2)-(5), and record the root mean square error under the corresponding P value , at this time there is always a P value that can make/> Minimum, take this P value as the optimal mode retention number k;

取最优模态保留数k对缺失数据进行重构,得到的矩阵记为,/>与矩阵/>的区别是,/>的缺失值NaN已经被重构出来,/>的每列都加上/>,得到最终的重构矩阵;Take the optimal mode retention number k to reconstruct the missing data, and the resulting matrix is recorded as ,/> with matrix/> The difference is,/> The missing value NaN has been reconstructed,/> Add/> to each column of , get the final reconstruction matrix;

通过式(2)-(5)重构出了缺失数据地区的海表温度数据,连同已有的晴空数据,一起构成了全天候、全覆盖的海表温度数据。The sea surface temperature data in areas with missing data are reconstructed through equations (2)-(5), which together with the existing clear sky data form all-weather, full-coverage sea surface temperature data.

为上述方案的进一步优化,公式(2)中:,/>,/>分别为SVD分解后对应的空间特征模态、奇异值矩阵和时间特征模态,/>表示矩阵转置。For further optimization of the above scheme, in formula (2): ,/> ,/> are respectively the corresponding spatial eigenmodes, singular value matrices and time eigenmodes after SVD decomposition,/> Represents matrix transpose.

作为上述方案的进一步优化,公式(3)中:,/>和/>分别是空间和时间特征模态的第t列,/>为对应的奇异值,/>为缺失点数据,P为模态保留数。As a further optimization of the above scheme, in formula (3): ,/> and/> are the tth column of the spatial and temporal eigenmodes respectively,/> is the corresponding singular value,/> is the missing point data, and P is the number of retained modes.

作为上述方案的进一步优化,公式(4)中:N为交叉验证集的数据点数,R为/>与交叉验证集/>均方根误差,/>为缺失点数据的重构值,/>为缺失点数据的原始值。As a further optimization of the above scheme, in formula (4): N is the cross-validation set The number of data points, R is/> with cross-validation set/> root mean square error,/> is the reconstructed value of missing point data,/> is the original value of the missing point data.

作为上述方案的进一步优化,公式(5)中:为缺失点的修正值矩阵。As a further optimization of the above scheme, in formula (5): is the correction value matrix of missing points.

作为上述方案的进一步优化,所述步骤4中随机森林模型公式为:As a further optimization of the above solution, the random forest model formula in step 4 is:

(6)。 (6).

作为上述方案的进一步优化,所述步骤4中根据随机森林模型的需求,设置叶子数目为5,树的数目为70,随机选取数据集的90%作为训练集,剩下10%作为测试集用于评价预测模型的准确性,随机选取数据集指的是经过步骤1、2、3处理后的多个时间的5个自变量和1个因变量。As a further optimization of the above solution, in step 4, according to the requirements of the random forest model, the number of leaves is set to 5, the number of trees is 70, 90% of the data set is randomly selected as the training set, and the remaining 10% is used as the test set. To evaluate the accuracy of the prediction model, the randomly selected data set refers to 5 independent variables and 1 dependent variable at multiple times after processing in steps 1, 2, and 3.

本发明的基于遥感的全空间覆盖海上大气CO2柱浓度计算方法,具备如下有益效果:The present invention's remote sensing-based full-space ocean atmospheric CO 2 column concentration calculation method has the following beneficial effects:

本发明提出的方法能有效的计算海上大气CO2柱浓度。The method proposed by the present invention can effectively calculate the CO 2 column concentration in the sea atmosphere.

充分考虑了碳循环涉及的海-陆-气多种要素对海上大气CO2柱浓度的影响,本发明提出的海水富营养指数可有效反映近海悬浮泥沙和有机质对海洋CO2分压的影响,能更好的解释近海大气CO2受海岸带陆地的影响。Fully considering the influence of various sea-land-air elements involved in the carbon cycle on the concentration of CO2 column in the sea atmosphere, the seawater eutrophication index proposed by the present invention can effectively reflect the impact of offshore suspended sediment and organic matter on the oceanic CO2 partial pressure. , which can better explain the influence of coastal atmospheric CO 2 on coastal land.

本发明利用时空插值方法首先对缺失数据进行重构,为全天候、全覆盖的海上大气CO2柱浓度计算提供了必要基础。This invention uses the spatiotemporal interpolation method to first reconstruct the missing data, providing the necessary foundation for all-weather, full-coverage calculation of the CO 2 column concentration of the maritime atmosphere.

参照后文的说明与附图,详细公开了本发明的特定实施方式,指明了本发明的原理可以被采用的方式,应该理解,本发明的实施方式在范围上并不因而受到限制,在所附权利要求的精神和条款的范围内,本发明的实施方式包括许多改变、修改和等同。With reference to the following description and drawings, specific embodiments of the present invention are disclosed in detail and the manner in which the principles of the present invention may be adopted is indicated. It should be understood that the scope of the embodiments of the present invention is not thereby limited. Embodiments of the present invention include many alterations, modifications and equivalents within the spirit and scope of the appended claims.

附图说明Description of the drawings

图1为本发明的流程示意图。Figure 1 is a schematic flow diagram of the present invention.

具体实施方式Detailed ways

为使本发明的目的、技术方案和优点更加清楚明了,下面通过附图中及实施例,对本发明进行进一步详细说明。但是应该理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限制本发明的范围。In order to make the purpose, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below through the drawings and examples. However, it should be understood that the specific embodiments described here are only used to explain the present invention and are not used to limit the scope of the present invention.

需要说明的是,当元件被称为“设置于、设有”另一个元件,它可以直接在另一个元件上或者也可以存在居中的元件,当一个元件被认为是“连接、相连接”另一个元件,它可以是直接连接到另一个元件或者可能同时存在居中元件,“固连”为固定连接的含义,固定连接的方式有很多种,不作为本文的保护范围,本文中所使用的术语“垂直的”“水平的”“左”“右”以及类似的表述只是为了说明的目的,并不表示是唯一的实施方式。It should be noted that when an element is said to be "disposed on, provided with" another element, it can be directly on the other element or there may also be intervening elements. When one element is said to be "connected to, connected to" another element A component, which can be directly connected to another component or there may be an intermediate component at the same time. "Fixed connection" means fixed connection. There are many ways of fixed connection, which are not within the scope of this article. The terms used in this article “Vertical”, “horizontal”, “left”, “right” and similar expressions are for illustrative purposes only and do not represent the only implementation manner.

除非另有定义,本文所使用的所有技术和科学术语与属于本发明的技术领域的技术人员通常理解的含义相同,本文中在说明书中所使用的术语只是为了描述具体的实施方式的目的,不是旨在限制本发明,本文中所使用的术语“和/或”包括一个或多个相关的所列项目的任意的和所有的组合;Unless otherwise defined, all technical and scientific terms used herein have the same meanings as commonly understood by those skilled in the technical field belonging to the present invention. The terms used in the specification are only for the purpose of describing specific embodiments and not For the purpose of limiting the invention, the term "and/or" as used herein includes any and all combinations of one or more of the associated listed items;

请参阅说明书附图1,本发明提供一种技术方案:基于遥感的全空间覆盖海上大气CO2柱浓度计算方法,本发明在碳循环的大背景下,大气CO2柱浓度是时空变化的,因此海、陆上空CO2柱浓度都需要进行监测才能对全球CO2总浓度有准确的认识,现有技术中的方法都是针对陆上大气CO2,本发明提出的方法能有效的计算海上大气CO2柱浓度:Please refer to Figure 1 of the description. The present invention provides a technical solution: a method for calculating the atmospheric CO 2 column concentration based on remote sensing covering the whole space covering the sea. In the context of the carbon cycle, the present invention provides a technical solution: the atmospheric CO 2 column concentration changes in time and space. Therefore, the CO 2 column concentration in the sea and over land needs to be monitored in order to have an accurate understanding of the total global CO 2 concentration. The methods in the prior art are all aimed at atmospheric CO 2 over land. The method proposed by the present invention can effectively calculate the CO 2 concentration over the sea. Atmospheric CO2 column concentration:

以MODIS数据为例,本发明用到的数据有MODIS的三类数据,一类是海上参数:海表温度(SST)、叶绿素a浓度(Chl-a)、光合有效辐射(PAR);二类是大气参数:气溶胶光学厚度(AOT);三类是波段反射率:经过大气校正的红光波段(Band1,620–670nm)反射率;以及OCO-2卫星的XCO2数据,XCO2数据即大气二氧化碳柱浓度。以上数据可从网站下载。Taking MODIS data as an example, the data used in this invention include three types of MODIS data. The first type is maritime parameters: sea surface temperature (SST), chlorophyll a concentration (Chl-a), and photosynthetically active radiation (PAR); is the atmospheric parameter: aerosol optical thickness (AOT); the third category is the band reflectance: the atmospherically corrected red light band (Band1, 620–670nm) reflectance; and the XCO 2 data of the OCO-2 satellite, the XCO 2 data is Atmospheric carbon dioxide column concentration. The above data can be downloaded from the website.

步骤1:受海水所含营养物质分布差异的影响,海水表层浮游植物的分布也存在时空差异,浮游植物可通过光合和呼吸作用吸收和释放CO2,影响海水CO2分压,进而通过海-气CO2交换影响大气CO2柱浓度,在近海区域,由于人类活动以及入海的河流携带的大量泥沙和营养物,常常会因为富营养化而爆发赤潮,此时对海水表层CO2分压会有较大影响,陆地对海上大气CO2柱浓度的影响可使用经过大气校正的红光波段反射率来构建海水富营养指数(SEI)来表示:Step 1: Affected by differences in the distribution of nutrients contained in seawater, the distribution of phytoplankton on the surface of seawater also has spatial and temporal differences. Phytoplankton can absorb and release CO 2 through photosynthesis and respiration, affecting the CO 2 partial pressure of seawater, and then through the sea- Air CO 2 exchange affects the atmospheric CO 2 column concentration. In offshore areas, due to human activities and the large amounts of sediment and nutrients carried by rivers entering the sea, red tides often break out due to eutrophication. At this time, the partial pressure of CO 2 on the surface of the seawater There will be a greater impact. The impact of land on the sea atmospheric CO2 column concentration can be expressed by using the atmospherically corrected red light band reflectance to construct the seawater eutrophication index (SEI):

(1) (1)

其中,SEI是估算的海水富营养指数;是经过大气校正的红光波段反射率。Among them, SEI is the estimated seawater eutrophication index; is the atmospherically corrected red light band reflectance.

本发明充分考虑了碳循环涉及的海-陆-气多种要素对海上大气CO2柱浓度的影响,本发明提出的海水富营养指数可有效反映近海悬浮泥沙和有机质对海洋CO2分压的影响,能更好的解释近海大气CO2受海岸带陆地的影响。This invention fully considers the influence of various sea-land-air elements involved in the carbon cycle on the concentration of CO2 column in the sea atmosphere. The seawater eutrophication index proposed by the invention can effectively reflect the impact of offshore suspended sediment and organic matter on the ocean CO2 partial pressure. The influence can better explain the influence of coastal atmospheric CO 2 on coastal land.

步骤2:通过时空插值方法,海表温度(SST)、叶绿素a浓度(Chl-a)、光合有效辐射(PAR)、气溶胶光学厚度(AOT),以及计算得到的海水富营养指数(SEI),都只能在晴空条件下获得,当海面被云遮档,该海域及海域上方的大气的相关参数就会缺失,本步骤是通过时空插值方法,重构出缺失的数据,为下一步全天候、全覆盖大气CO2柱浓度监测打下基础。Step 2: Through the spatiotemporal interpolation method, sea surface temperature (SST), chlorophyll a concentration (Chl-a), photosynthetically active radiation (PAR), aerosol optical depth (AOT), and the calculated seawater eutrophication index (SEI) , can only be obtained under clear sky conditions. When the sea surface is obscured by clouds, the relevant parameters of the sea area and the atmosphere above the sea area will be missing. This step uses the spatiotemporal interpolation method to reconstruct the missing data to prepare for the next step of all-weather , laying the foundation for full coverage of atmospheric CO 2 column concentration monitoring.

以下策略对上述5个参数都适用,以海表温度为例进行说明,其他参数与之相同:The following strategy is applicable to the above five parameters. Taking sea surface temperature as an example, other parameters are the same:

首先,将研究区连续多天需要重构的海表温度数据(假设m个空间位置,n天)设为矩阵,矩阵/>的行是某一空间位置点的所有时间序列值,列是某一时刻所有空间点的值,I为待重构的缺失点集,其中的缺失值用NaN表示,其工作流程如下:First, set the sea surface temperature data that need to be reconstructed for multiple consecutive days in the study area (assuming m spatial locations, n days) as a matrix , matrix/> The rows are all time series values of a certain spatial location point, the columns are the values of all spatial points at a certain moment, I is the set of missing points to be reconstructed, and the missing values are represented by NaN. The workflow is as follows:

1:减去其时间维的有效(非NaN)平均值/>,时间维的有效平均值为不含缺失值的海表温度数据下时间维的平均值,得到/>,从/>中随机取出有效数据总量的1%作为交叉验证集/>,对/>对应位置的数据赋值为NaN,将/>中所有NaN的点用0代替,定义P为模态保留数,此时P=1。1: Subtract the valid (non-NaN) mean of its time dimension/> , the effective average value of the time dimension is the average value of the time dimension under the sea surface temperature data without missing values, and we get/> , from/> Randomly take 1% of the total valid data as the cross-validation set/> , right/> The data at the corresponding position is assigned NaN, and // All NaN points in are replaced with 0, and P is defined as the modal retention number. At this time, P=1.

2:对矩阵进行奇异值分解,有2: Pair matrix Perform singular value decomposition, we have

(2) (2)

其中,,/>,/>分别为SVD分解后对应的空间特征模态、奇异值矩阵和时间特征模态,/>表示矩阵转置。in, ,/> ,/> are respectively the corresponding spatial eigenmodes, singular value matrices and time eigenmodes after SVD decomposition,/> Represents matrix transpose.

3:利用式(3)补齐缺失点数据3: Use equation (3) to fill in the missing point data

3) 3)

其中,,/>和/>分别是空间和时间特征模态的第t列,/>为对应的奇异值,为缺失点数据,P为模态保留数,然后根据式(4)计算/>与交叉验证集/>的均方根误差R:in, ,/> and/> are the tth column of the spatial and temporal eigenmodes respectively,/> is the corresponding singular value, is the missing point data, P is the number of retained modes, and then it is calculated according to Equation (4)/> with cross-validation set/> The root mean square error R:

4) 4)

其中,N为交叉验证集的数据点数,R为/>与交叉验证集/>的均方根误差,/>为缺失点数据的重构值,/>为缺失点数据的原始值。Among them, N is the cross-validation set The number of data points, R is/> with cross-validation set/> The root mean square error of is the reconstructed value of missing point data,/> is the original value of the missing point data.

4:为了使均方根误差R最小,令4: In order to minimize the root mean square error R, let

(5) (5)

其中,为缺失点的修正值矩阵,再利用式(1)对/>作奇异值分解,重复步骤3,直到均方根误差R收敛。in, is the correction value matrix of the missing points, and then use equation (1) to calculate/> Perform singular value decomposition and repeat step 3 until the root mean square error R converges.

5:令模态保留数P=1,2,…,,重复公式(2)-(5),并记录对应P值下的均方根误差/>。此时总有一个P值能令/>小,取此P值作为最优模态保留数k。5: Let the modal retention number P=1,2,…, , repeat formulas (2)-(5), and record the root mean square error under the corresponding P value/> . At this time, there is always a P value that can make/> small, take this P value as the optimal mode retention number k.

6:取最优模态保留数k对缺失数据进行重构,得到的矩阵记为,/>与矩阵/>的区别是,/>的缺失值(NaN)已经被重构出来,/>的每列都加上/>,得到最终的重构矩阵。6: Select the optimal mode retention number k to reconstruct the missing data, and the resulting matrix is recorded as ,/> with matrix/> The difference is,/> The missing values (NaN) have been reconstructed,/> Add/> to each column of , get the final reconstruction matrix.

通过式(2)-(5)重构出了缺失数据地区的海表温度数据,连同已有的晴空数据,一起构成了全天候、全覆盖的海表温度数据。The sea surface temperature data in areas with missing data are reconstructed through equations (2)-(5), which together with the existing clear sky data form all-weather, full-coverage sea surface temperature data.

本发明中海表温度(SST)、叶绿素a浓度(Chl-a)、光合有效辐射(PAR)、气溶胶光学厚度(AOT)、海水富营养指数(SEI)都是只能在晴空条件下得到,如果仅仅依靠这些晴空数据,无法建立全天候、全覆盖的海上大气CO2柱浓度监测算法。因此,本发明利用时空插值方法首先对缺失数据进行重构,为全天候、全覆盖的海上大气CO2柱浓度计算提供了必要基础。In the present invention, sea surface temperature (SST), chlorophyll a concentration (Chl-a), photosynthetically active radiation (PAR), aerosol optical depth (AOT), and seawater eutrophication index (SEI) can only be obtained under clear sky conditions. If we only rely on these clear-sky data, it is impossible to establish an all-weather, full-coverage maritime atmospheric CO2 column concentration monitoring algorithm. Therefore, the present invention uses the spatiotemporal interpolation method to first reconstruct the missing data, providing the necessary foundation for all-weather, full-coverage calculation of the CO 2 column concentration in the maritime atmosphere.

步骤3:标准化处理,上述5个参数以及OCO-2的XCO2数据统一空间分辨率至0.05°,其中,海表温度(SST)、叶绿素a浓度(Chl-a)、光合有效辐射(PAR)、气溶胶光学厚度(AOT)使用最邻近法(nearest)插值,海水富营养指数(SEI)和XCO2数据采用双线性法(linear)插值,统一为等经纬度投影。Step 3: Standardization processing, the above five parameters and the XCO 2 data of OCO-2 are unified to a spatial resolution of 0.05°, including sea surface temperature (SST), chlorophyll a concentration (Chl-a), photosynthetically active radiation (PAR) The aerosol optical thickness (AOT) is interpolated using the nearest neighbor method, and the seawater eutrophication index (SEI) and XCO 2 data are interpolated using the bilinear method (linear) and unified into equal latitude and longitude projections.

步骤4:采用随机森林方法构建预测随机森林模型,海表温度(SST)、叶绿素a浓度(Chl-a)、光合有效辐射(PAR)、气溶胶光学厚度(AOT)、海水富营养指数(SEI)作为自变量,XCO2作为因变量:Step 4: Use the random forest method to build a predictive random forest model, sea surface temperature (SST), chlorophyll a concentration (Chl-a), photosynthetically active radiation (PAR), aerosol optical thickness (AOT), seawater eutrophication index (SEI) ) as the independent variable and XCO 2 as the dependent variable:

6) 6)

式(6)中为概念模型,左侧是因变量,右侧括号内是自变量,RF只是说明用到了随机森林方法(RF,Random Forest)。Equation (6) is a conceptual model, with the dependent variable on the left and the independent variables in parentheses on the right. RF only shows that the random forest method (RF, Random Forest) is used.

根据随机森林模型的需求,设置叶子数目为5,树的数目为70。随机选取数据集(指的是经过步骤1、2、3处理后的多个时间的5个自变量和1个因变量)的90%作为训练集,剩下10%作为测试集用于评价预测模型的准确性。According to the requirements of the random forest model, set the number of leaves to 5 and the number of trees to 70. Randomly select 90% of the data set (referring to 5 independent variables and 1 dependent variable at multiple times after steps 1, 2, and 3) as the training set, and the remaining 10% as the test set for evaluation and prediction. Model accuracy.

步骤5:在实际使用中,可根据下载的海表温度(SST)、叶绿素a浓度(Chl-a)、光合有效辐射(PAR)、气溶胶光学厚度(AOT)数据,以及计算得到的海水富营养指数(SEI)数据,经过步骤2的时空插值方法,步骤3的标准化处理,再利用步骤4中训练好的随机森林模型,即可预测出全天候、全覆盖的海上大气CO2柱浓度数据。Step 5: In actual use, it can be based on the downloaded sea surface temperature (SST), chlorophyll a concentration (Chl-a), photosynthetically active radiation (PAR), aerosol optical depth (AOT) data, and calculated seawater enrichment Trophic index (SEI) data, through the spatiotemporal interpolation method in step 2, the standardization process in step 3, and then using the random forest model trained in step 4, all-weather, full-coverage maritime atmospheric CO 2 column concentration data can be predicted.

仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换或改进等,均应包含在本发明的保护范围之内。They are only preferred embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent substitutions or improvements made within the spirit and principles of the present invention shall be included in the protection scope of the present invention. .

Claims (10)

1. Remote sensing-based full-space coverage offshore atmosphere CO 2 A method for calculating column concentration, comprising:
taking MODIS data as an example, the downloaded data comprise three types of MODIS data, one type is offshore parameters: sea surface temperature: SST, chlorophyll a concentration: chl-a, photosynthetically active radiation: PAR; class IIIs an atmospheric parameter: aerosol optical thickness: an AOT; three categories are band reflectivities: atmospheric corrected red band reflectivity, and XCO for OCO-2 satellites 2 Data, XCO 2 Data, namely atmospheric carbon dioxide column concentration;
step 1: land to sea atmosphere CO 2 The effect of column concentration can be used to construct a seawater eutrophication index using the atmospheric corrected red band reflectivity;
step 2: reconstructing missing data by a space-time interpolation method;
step 3: standardized treatments, sea surface temperature, chlorophyll a concentration, photosynthetically active radiation, aerosol optical thickness, sea water eutrophication index parameters, XCO of OCO-2 2 The data unify the spatial resolution to 0.05 DEG, wherein the sea surface temperature, chlorophyll a concentration, photosynthetically active radiation, aerosol optical thickness are interpolated using nearest neighbor method, sea water eutrophication index and XCO 2 The data is interpolated by a bilinear method and is unified into equal longitude and latitude projections;
step 4: constructing a predicted random forest model by adopting a random forest method, wherein sea surface temperature, chlorophyll a concentration, photosynthetic effective radiation, aerosol optical thickness and sea water eutrophication index are taken as independent variables, and XCO is taken as a reference value 2 Data as dependent variables:
step 5: according to downloaded sea surface temperature, chlorophyll a concentration, photosynthetic effective radiation, aerosol optical thickness data and calculated sea water eutrophication index data, through a space-time interpolation method of step 2, standardized treatment of step 3, and then utilizing a random forest model trained in step 4, all-weather and full-coverage sea atmosphere CO is predicted 2 Column concentration data.
2. Remote sensing-based full space coverage marine atmospheric CO as defined in claim 1 2 The column concentration calculation method is characterized in that: the chlorophyll a concentration, photosynthetic effective radiation, aerosol optical thickness and sea water eutrophication index are all reconstructed into missing data by a space-time interpolation method.
3. Root of Chinese characterRemote sensing-based full space coverage marine atmospheric CO as defined in claim 1 2 The column concentration calculation method is characterized in that: the seawater eutrophication index in step 1 is represented using SEI:(1)
wherein SEI is the estimated seawater eutrophication index,is the red light band reflectivity after atmospheric correction.
4. A remote sensing based full space coverage marine atmospheric CO as defined in claim 3 2 The column concentration calculation method is characterized in that: in the step 2, missing data is reconstructed by a space-time interpolation method, and the sea surface temperature is taken as an example for explanation:
first, sea surface temperature data which need to be reconstructed for a plurality of continuous days in a research area are set as a matrixMatrix->The row of (1) is all time sequence values of a certain spatial position point, the column is the value of all spatial points at a certain moment, and I is a missing point set to be reconstructed, wherein the missing value is expressed by NaN, and the workflow is as follows:
subtracting the effective average of its time dimension +.>The effective average value of the time dimension is the average value of the time dimension under the sea surface temperature data without the missing value, X is obtained, and 1% of the total effective data is randomly taken out from the X to be used as a cross verification set +.>For->Assigning data of the corresponding positions as NaNs, replacing all NaN points in X with 0, and defining P as a mode reserved number, wherein P=1;
singular value decomposition of matrix X is performed, with
(2);
Using (3) to complement missing point data
(3);
Then calculate according to equation (4)Cross-validation set->Root mean square error R:
(4);
to minimize the root mean square error R, let
(5);
Reuse of the pair of (1)Performing singular value decomposition, and repeating the step 3 until the root mean square error R converges;
let the mode retention number p=1, 2, …,repeating the formulas (2) - (5), and recording the root mean square error +.>At this time, there is always a P value enabling +.>Minimum, taking the P value as an optimal mode retention number k; reconstructing the missing data by taking the optimal mode retention number k, and marking the obtained matrix as +.>And matrix->Is distinguished by->The missing values NaN have been reconstructed, < >>Add +.>Obtaining a final reconstruction matrix;
the sea surface temperature data of the area with missing data are reconstructed through the formulas (2) - (5), and all-weather and full-coverage sea surface temperature data are formed together with the existing clear sky data.
5. The remote sensing-based full space coverage marine atmospheric CO of claim 4 2 The column concentration calculation method is characterized in that: in formula (2): u, S, V are the corresponding spatial characteristic mode, singular value matrix and time characteristic mode after SVD decomposition, T represents matrix transposition.
6. The remote sensing-based full space coverage sea of claim 4Upper atmosphere CO 2 The column concentration calculation method is characterized in that: in formula (3):,/>and->Column t, < > -of spatial and temporal feature modes respectively>For the corresponding singular value +.>For missing point data, P is the mode retention.
7. The remote sensing-based full space coverage marine atmospheric CO of claim 4 2 The column concentration calculation method is characterized in that: in formula (4): n is a cross validation setR is +.>Cross-validation set->Root mean square error of>For the reconstruction value of the missing point data, +.>Is the original value of the missing point data.
8. Tele-based according to claim 4Full space coverage of the sea atmosphere CO 2 The column concentration calculation method is characterized in that: in formula (5):is a correction value matrix of missing points.
9. Remote sensing-based full space coverage marine atmospheric CO as defined in claim 1 2 The column concentration calculation method is characterized in that: the random forest model formula in the step 4 is as follows:
(6)。
10. remote sensing-based full space coverage marine atmospheric CO as defined in claim 1 2 The column concentration calculation method is characterized in that: in the step 4, according to the requirement of the random forest model, the number of leaves is set to be 5, the number of trees is 70, 90% of the randomly selected data set is used as a training set, the remaining 10% is used as a test set for evaluating the accuracy of the prediction model, and the randomly selected data set refers to 5 independent variables and1 dependent variable of a plurality of times after the processing in the steps 1,2 and 3.
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