CN109726857A - Cyanobacterial bloom prediction technique based on GA-Elman network - Google Patents

Cyanobacterial bloom prediction technique based on GA-Elman network Download PDF

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CN109726857A
CN109726857A CN201811553870.6A CN201811553870A CN109726857A CN 109726857 A CN109726857 A CN 109726857A CN 201811553870 A CN201811553870 A CN 201811553870A CN 109726857 A CN109726857 A CN 109726857A
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cyanobacterial bloom
elman
prediction
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于家斌
王小艺
尚方方
许继平
王立
张慧妍
赵峙尧
孙茜
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Beijing Technology and Business University
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Abstract

The invention discloses a kind of cyanobacterial bloom prediction techniques based on GA-Elman network, are related to cyanobacterial bloom electric powder prediction in water environment.The present invention analyzes the related causes such as the environmental factor of algal bloom, physical chemical factor and biological factor, obtaining, which influences the principal element index that cyanobacterial bloom occurs, temperature, humidity, dissolved oxygen, ammonia-nitrogen content, pH value and chlorophyll a etc., by carrying out analysis modeling to Multiple factors attributes, modified Delphi approach is combined with multifactor time series analysis, construct GA-Elman Network Prediction Model, this method can effectively improve the precision of prediction of cyanobacterial bloom, compared to traditional Elman neural network, precision of prediction improves 5%~10%.

Description

Cyanobacterial bloom prediction technique based on GA-Elman network
Technical field
The present invention relates to cyanobacterial bloom electric powder prediction in water environment, in particular to the generation process of cyanobacterial bloom into A kind of method of raising cyanobacterial bloom precision of prediction of row analysis and the multifactor GA-Elman neural network prediction model established.
Background technique
Good water quality condition is primary condition for the survival of mankind, but with the development of the social economy, quality problem Increasingly severe, algal bloom disaster caused by wherein water eutrophication is becomes the outstanding problem of water environment pollution.Water body Eutrophication is mainly to cause a large amount of since the nutritive salt of the elements such as excessive nitrogenous, phosphorus enters among river and lake by all means Algae or the aggravation of certain aquatic plants growths, break the ecological balance of water environment, water quality deterioration, the ecosystem are caused to be destroyed A series of ecological environment problems.Since river water is a complicated open system, by having in wind direction, water flow and water body The influence of the factors such as machine object is bigger, and algal bloom has sudden, time variation etc., existing cyanobacterial bloom prediction technique It is unable to meet the requirement of precision of prediction.
The difficulty that accurately prediction has great importance with early warning and water environment protection faces is carried out to cyanobacterial bloom Topic.At present in the research of cyanobacterial bloom prediction, according to the formation mechenism of wawter bloom, mainly there is following two categories research method.It is a kind of It is to study the Forming Mechanism of cyanobacterial bloom using the ecological mechanism of wawter bloom growth as theoretical basis, the Ecological Changes of wawter bloom is carried out It simulates and predicts.But specific to different types of water body, since environment is different, the key influence factor that wawter bloom is formed is different.It is early It is that dynamics of ecosystem model is established on the basis based on algae mechanism study mostly that phase, which studies wawter bloom, according to rivers and lakes Ecologic structure, function, the influence of spatial-temporal evolution pattern and physical and chemical process to the ecosystem studies the mutual of internal system The differential equation is established in effect, tracks ecosystem state change.Modelling by mechanism is divided into again according to algal grown mechanism model and floats Swim biological time space distribution model.Another kind is to establish system model using the method for artificial intelligence, is predicted.In recent years Come, intelligent modeling method does not need to carry out extremely in-depth study, nonlinear system to mechanism due to the intelligence of its information processing The features such as modeling ability of uniting is strong, many advanced intellectual technologies are widely applied in various Nonlinear Modeling fields, using intelligence Technique study algal bloom formation mechenism and forecasting problem become current one of main trend.
Model parameter needed for intelligent modeling method is few, and calculating process is fast and convenient, and especially nerual network technique has strong Big self-learning ability and Nonlinear Processing ability, in conjunction with neural network combination intelligent model in practical projects by favor, The model can be reacted in wawter bloom forming process well in interactively and its non-linear, the uncertain spy of forming process Sign, is the important directions of following wawter bloom formation mechenism and forecasting research.
Summary of the invention
In order to improve the precision of prediction of cyanobacterial bloom, the present invention to the environmental factor of algal bloom, physical chemical factor and The related causes such as biological factor are analyzed, and obtaining, which influences the principal element index that cyanobacterial bloom occurs, temperature, humidity, dissolution Oxygen, ammonia-nitrogen content, pH value and chlorophyll a etc., by carrying out analysis modeling to Multiple factors attributes, by improved Elman nerve net Network is combined with multifactor time series analysis, constructs GA-Elman Network Prediction Model, and this method can effectively improve indigo plant The precision of prediction of algae wawter bloom.
The present invention analyzes the pests occurrence rule of cyanobacterial bloom, establishes GA- for the index factor data of the cyanobacterial bloom of acquisition The cyanobacterial bloom prediction and warning model of Elman network, and carry out system design.Research work is broadly divided at cyanobacterial bloom data Reason and index analysis, cyanobacterial bloom prediction and warning technique study and build river and lake monitoring water environment and wawter bloom Early-Warning System three A part.Specifically, the cyanobacterial bloom prediction technique based on GA-Elman network includes the following steps:
Step 1: cyanobacterial bloom data processing and index analysis for polynary time series data, determining influences cyanobacterial bloom Index factor.
Step 2: being optimized using GA genetic algorithm to cyanobacterial bloom prediction Elman neural network model parameter.
Step 3: taking error compensating method, optimize GA-Elman neural network model, improves Elman neural network mould Type precision of prediction.
The present invention has the advantages that
(1) present invention is analyzed using Multiple factors attributes, is made when establishing the temporal model of cyanobacterial bloom influence factor Model adequately according to current time and historical juncture cyanobacterial bloom factor data, analyzes the concentration numbers of future time instance chlorophyll a According to, and then analysis prediction effectively is carried out to complicated cyanobacterial bloom.
(2) present invention utilize Elman neural network cyanobacterial bloom prediction model, Elman nerve net in addition to input layer, Except hidden layer and output layer, it is added to undertaking layer, is used to receive feedback signal from hidden layer, remembers hidden layer neuron history The output of data, and then Elman neural network is improved to the sensibility of historical data, enhance network processes multidate information The problem of ability improves the stability of cyanobacterial bloom model system, reduces prediction error and is more advantageous to processing time series data.
(3) present invention improves traditional Elman network, using GA genetic algorithm preliminary Optimized model parameter, and Error compensation is carried out to the prediction result of model and advanced optimizes model output parameters, association's note of enhancing Elman network model The characteristics of recalling function, the effective stability and precision of prediction for improving model system.
(4) because artificial neural network algorithm is simple and efficient, the present invention uses time series data as network model Input data carries out the characterization factor of future time by the chlorophyll concentration and influence factor of current time and historical juncture Prediction.And GA genetic algorithm and error compensating method is respectively adopted, better Optimal Parameters, compared to traditional Elman nerve Network, precision of prediction improve 5%~10%.
Detailed description of the invention
Fig. 1 is cyanobacterial bloom prediction technique flow chart provided by the invention;
Fig. 2 is the optimization process flow chart that GA genetic algorithm is used in the present invention;
Fig. 3 is the GA-Elman neural network error fit optimization process schematic diagram in the present invention.
Specific embodiment
The present invention is described in detail with reference to the accompanying drawing.
The present invention proposes a kind of cyanobacteria based on GA-Elman network for the index factor data of the cyanobacterial bloom of acquisition Wawter bloom prediction technique analyzes the pests occurrence rule of cyanobacterial bloom, establishes the cyanobacterial bloom prediction and warning model of GA-Elman network, and Carry out system design.Research work is broadly divided into cyanobacterial bloom data processing and index analysis, cyanobacterial bloom prediction and warning method Study and build river and lake monitoring water environment and three parts of wawter bloom Early-Warning System.
Step 1: determining the index factor for influencing cyanobacterial bloom.
Correlation analysis is carried out to each index factor data of cyanobacterial bloom.By analyzing the multiple of the cyanobacterial bloom acquired Correlation between index factor, and using chlorophyll-a concentration value as the characteristic index of cyanobacterial bloom occurrence degree, it analyzes each The linear dependence of index factor and chlorophyll a is selected the efficiency index factor that the cyanobacterial bloom in studied waters occurs, is rejected Invalid index and the index factor small to research waters influence degree, avoid it from influencing the interference of cyanobacterial bloom prediction model The accuracy of cyanobacterial bloom prediction model.Finally, being calculated in cyanobacterial bloom index factor, with factor analysis to chlorophyll a shadow Loud importance size, so that selecting influences four big index factors, the effective precision for improving cyanobacterial bloom prediction model.
Step 2: being optimized using GA genetic algorithm to cyanobacterial bloom prediction Elman neural network model parameter.
As shown in Fig. 2, tradition GA genetic algorithm generates initial population by coding.By the weight of Elman neural network and Threshold value connects in sequence forms a real number array, a chromosome as GA genetic algorithm.Evolutionary search be with Adaptation density function is foundation, is searched for using the fitness value of chromosome each in population, executes genetic manipulation.Calculate current kind The fitness value of each chromosome in group finds out adaptive optimal control degree individual and iterates (selection intersects and makes a variation) until meeting Termination condition exports optimal solution;If termination condition is not achieved with maximum genetic iteration number be terminate calculation criterion.
Elman neural network is as shown in figure 3, wherein w1To accept connection weight (weight) of the layer to hidden layer, w2For input Layer arrives the connection weight of hidden layer, w3For the connection weight of hidden layer to output layer, f () is the transmitting letter of hidden layer neuron Number, g () are the transmission function of output layer neuron.If Elman neural network input vector is x (k), output vector y (k), hidden layer output vector is h (k), and undertaking layer state feedback vector is z (k), and k indicates the moment.Then Elman neural network is defeated Enter output relation are as follows:
Y (k)=g [w3h(k)] (1)
H (k)=f [w1z(k)+w2x(k-1)] (2)
Z (k)=h (k-1)=f [w1z(k-1)+w2x(k-2)] (3)
Step 3: using error compensating method, output to GA-Elman neural network model is carried out further excellent Change.
The present invention uses for reference the advantages of neural network, the characteristics of according to multitiered network structure and error propagation, GA-Elman mind The Elman neural network of the first layer building GA genetic algorithm optimization through network, the second layer on this basis to error information into Row Multi-source Information Fusion and error compensation.
(1) network structure design in, by GA-Elman neural network from laterally be divided into two layers, first layer by input layer, Hidden layer and intermediate output layer composition.Input vector is cyanobacterial bloom index factor data X=(x1,x2,…,xn)T, hidden layer Vector is made of input vector x (k-1) and undertaking layer vector z (k), and intermediate output layer output vector is chlorophyll-a concentration
Y=(y1,y2,…,ym)T, hidden layer output vector is H=(h1,h2,…,hn)T, n is in input layer and hidden layer The number of neuron;M is the number of neuron in intermediate output layer.Accept layer to weight between hidden layer be w1, input layer arrives Weight is w between hidden layer2, hidden layer to weight between intermediate output layer is w3, according to formula (1) (2) (3) it follows that
For hidden layer, have:
Wherein, hi(k) output at i-th of neuron k moment of hidden layer, z are indicatedi(k) it indicates to accept i-th of neuron k of layer The output at moment, xi(k-1) input at i-th of neuron k-1 moment of input layer is indicated.
Have for intermediate output layer:
Wherein, yj(k) output at intermediate j-th of neuron k moment of output layer, j=1,2 ..., m are indicated;
(2) in network structure design, such as Fig. 3, the second layer is final output layer O=(o1,o2,…,os)T, to intermediate defeated Layer carries out Multi-source Information Fusion and error compensation out, and s is final output layer vector number;If desired output vector D=(d1, d2,…,ds)T, intermediate output layer to the weight between final output layer is v.Intermediate output layer number of nodes m is equal to monitoring point Number.It on the other hand, can setting according to training dataset and two kinds of situations of test data set in processing of the network to data set It is fixed, the corresponding two-way propagation process for generating error.
For final output layer, have:
Wherein, oqIt (k) is the output at q-th of neuron k moment of final output layer.
(3) error back propagation learns;
When the reality output of network model is not equal to truthful data, that is, when there is deviation, output error E are as follows:
When above formula is further spread out, have:
It can be seen from the above error is the function of each layer weight, adjustment weight can change error, it is clear that adjustment weight Principle be exactly to reduce weight error constantly, can be obtained by formula (5) (6) (7) (8):
Wherein, η refers to learning rate, is a given constant, 0 < η < 1.P=1,2,3;Δwp, Δ v be each layer weight Error.
After finding out the new weight of each layer, training GA-Elman cyanobacterial bloom prediction model, input layer is by water temperature, PH Value, ammonia-nitrogen content, the current time of five influence factors of dissolved oxygen and chlorophyll-a concentration and historical juncture data composition, it is defeated Layer is made of the future time instance of chlorophyll concentration out, i.e., to one step of concentration forward prediction of chlorophyll.If defeated after error compensation Outgoing vector C=(c1,c2,…,ct)T, t is the number of output vector, it can be deduced that:
Wherein, r=1,2 ... t.

Claims (3)

1. the cyanobacterial bloom prediction technique based on GA-Elman network, it is characterised in that: include the following steps,
Step 1: cyanobacterial bloom data processing and index analysis for polynary time series data, determine the finger for influencing cyanobacterial bloom Mark factor;
Step 2: being optimized using GA genetic algorithm to cyanobacterial bloom prediction Elman neural network model parameter;
Step 3: taking error compensating method, optimize GA-Elman neural network model, it is pre- to improve Elman neural network model Survey precision.
2. the cyanobacterial bloom prediction technique according to claim 1 based on GA-Elman network, it is characterised in that: third step Described in GA-Elman neural network model, from being laterally divided into two layers, first layer is by input layer, hidden layer and intermediate output layer Composition, input vector are cyanobacterial bloom index factor data X=(x1,x2,…,xn)T, hidden layer vector is by input vector x (k- 1) and layer vector z (k) composition is accepted, intermediate output layer output vector is chlorophyll-a concentration Y=(y1,y2,…,ym)T, hidden layer Output vector is H=(h1,h2,…,hn)T, n is the number of neuron in input layer and hidden layer;M is mind in intermediate output layer Number through member;Accept layer to weight between hidden layer be w1, input layer to weight between hidden layer is w2, hidden layer to centre Weight is w between output layer3;For hidden layer, have:
Wherein, hi(k) output at i-th of neuron k moment of hidden layer, z are indicatedi(k) it indicates to accept i-th of the neuron k moment of layer Output, xi(k-1) input at i-th of neuron k-1 moment of input layer is indicated;
Have for intermediate output layer:
Wherein, yj(k) output at intermediate j-th of neuron k moment of output layer, j=1,2 ..., m are indicated;
The second layer is final output layer O=(o1,o2,…,os)T, Multi-source Information Fusion and error compensation are carried out to intermediate output layer, S is final output layer vector number;If desired output vector D=(d1,d2,…,ds)T, intermediate output layer to final output layer it Between weight be v;Intermediate output layer number of nodes m is equal to monitoring points;
For final output layer, have:
Wherein, oqIt (k) is the output at q-th of neuron k moment of final output layer;
(3) error back propagation learns;
When the reality output of GA-Elman neural network model is not equal to truthful data, that is, when there is deviation, output error E are as follows:
When above formula is further spread out, have:
It is obtained by formula (5) (6) (7) (8):
Wherein, η refers to learning rate, is a given constant, 0 < η < 1;P=1,2,3;Δwp, Δ v be each layer weight error;
After finding out the new weight of each layer, training GA-Elman cyanobacterial bloom prediction model, input layer is by water temperature, pH value, ammonia Nitrogen content, the current time of five influence factors of dissolved oxygen and chlorophyll-a concentration and historical juncture data composition, output layer by The future time instance of chlorophyll concentration forms, i.e., to one step of concentration forward prediction of chlorophyll;If the output vector C after error compensation =(c1,c2,…,ct)T, t is the number of output vector, it obtains:
Wherein, r=1,2 ... t.
3. the cyanobacterial bloom prediction technique according to claim 1 based on GA-Elman network, it is characterised in that: the first step Described in index factor be water temperature, pH value, ammonia-nitrogen content, dissolved oxygen and chlorophyll-a concentration.
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Application publication date: 20190507