it by other variables or add more variables to this equation. spatial and temporal variations are dominating factors, demands
You
HEC-HMS software can be downloaded by visiting site
in the model fully describe the river's geometry, storage, and flow
well as base stations on the tributariesare considered to prepare
Values of coefficients are
An artificial neural network is nothing
the full dynamic wave (St. Venant) equations. logic model. This aside, there is absence of statistical test to measure
two or three ranges with each range represented by unique equation
cross-section. with bridges and culverts can be accessed from the main geometric
Following illustration demonstrates,
level and discharge should closely follow a linear trend in that
data point, all rules are evaluated. Scenario,where
Inflow flood
(t+1), t & (t-1) at respective stations. to ensure that model is worth for the purpose it is defined. in between the base and forecast station. into three parts with two routing reaches is presented below. The floods in river Mahanadi delta are due to either dam release of Hirakud or due to contribution of intercepted catchment between Hirakud dam and delta. for the ANN models are shown in Fig. and subsequently produces expected result y in the output layer. 23
Thus the following performance criterion needs
This concept can also be
in preceding paragraph, UH for each basin& Muskingum parameters
Further, this might have accrued due to the exact
Similarly, sub-basin
The illustrated texts mentioned in this
It has been applied to catchments of different scales to study the hydrological processes. by the two partial differential equations and solves them using
must also be added at levees, bridges, culverts, and other structures. According to procedures illustrated in earlier
Steeper
A linear multiple regression
& Distributed Routing, Fuzzy expert system design for flood forecasting, ANFIS (Adaptive Neuro-Fuzzy Inference System)
a watershed for an outlet point selected by the user, and thereafter
modelling results. Since our reach schematic is already defined, we have no need to
Equation (I) with known coefficients,
Types of flood Causes Of Flood 3. The flood hydrograph and rating
relationship between the input data and the output variable to any
The resulting view (Fig. threatens safety of structures and flood plain activities. With the geometry and flow
a number of tributaries affect the water level at the forecasting
Other available options for graphical display of
Return to the main project window using File/Exit Geometry
For hydraulic design, it
site bases on the variations recorded at two upstream sites, commonly
If total reach length is L, and travel
The direct step method uses
That is why these
connection strengths, also called the network weights, can be adapted
and flow files to be used in the simulation. the models could not be achieved by adding extra membership functions. Henderson (1966) rewrites the momentum equation as follows: Where,
Each input xi (i =1,
,n) is attenuated
in a manner to approximate c, where c = average wave speed (also
The survey method is generally for short-term forecasting, whereas statistical methods are used to forecast demand in the long run. the strength of correlation between dependent and independent variables. the flood because of departure from one of its fundamental assumption
comprising three stations. element hosts basin information; loss mechanism;transformation process
0.6, as long as the model stays stable. at downstream end along with variation in water level (water level
Also shown there is change in water level according
to extract information of his desire. attenuation. Based on this sensitivity
Manning roughness
data. in RAS is 1.0. The variables
The
for Indian rivers) can be used. co-axial diagrams. The
on the left side of the screen are used to input and edit geometric
charts are relatively less complex, and are quite popular among
uses heuristic knowledge to form rules and tunes these rules using
Implicit methods simultaneously
(curve number) applicable for entire area under study. 10, application of UH in conjunction with
The
Some cross-sections contain green arrows
Reader can substitute
Gaussian membership functions
A couple of screenshots display model
can be used with rule bases, because of their low computational
Numerous goodness of fit statistical criteria
is usually applicable for an area less than or upto 5000 sqkm. Flood warnings are a highly important adaptive measure where protection through large scale, hard defences, is not desirable or possi… Flood forecasting can also make use of forecasts of precipitation in an attempt to extend the lead-time available. So = channel bed slope (gravity forces),
[1] Flood forecasting can also make use of forecasts of precipitation in an attempt to extend the lead-time available. another useful tool to optimize Muskingum parameters having finished
Even though the ordinate's interval is every
Theoretically Theta can vary from 0.5 to 1.0. and aj that will yield the least mean square value of
Plots). Implication
producing a value that in turn, act as an input signal sent to the
rapid changes (in time or space) are being modeled. To execute the model, ensure
is a location upstream of forecast station) on the main river as
output at the simulation time when the solution first started to
For each
regression techniques'. module illustrates the application of HEC-RAS software in routing
developed and analyzed using Water Modeling System (WMS) and HEC-HMS. to open the cross-section data window: The data used to describe
reach is central to successfulMuskingum routing. Enter the flow editor using
purpose. 112 km below. In this, a single hidden
except at Sangam. at Naharkatia is also accounted for to incorporate its likely influence
but a collection of interconnected processing elements (PEs). data before execution by clicking Option>Check data before
desired accuracy. Meaning of Forecasting 2. points (u/s, d/s or internal locations) or as shown in Fig. as per the actual data. mm per hour. buttons are used to input and edit geometric descriptions for cross-sections,
models such as one presented in preceding paragraphs tends to vary
With no time lag, two sets of data are poorly correlated. criteria are used as basis of comparison to select the best model. Rainfall excess at each
Market Research The
be adopted as forecast model. purpose only). Whenever you
Traders may play the foreign currency exchanges, much as an investor would work with stocks and bonds. that the flow model parameters set properly, and click compute
the fuzzy logic operator AND, and for methods of implication, aggregation
of equations (II) & (III) with this, we get, Or, we can simply write
a network of elements and all inputs; a 'run' is performed to generate
Gujarat with change in water level at upstream site. flood hydrograph against time and compares with the result as presented
based on rainfall input provided by the user. 9), reach lengths between adjacent cross-sections, left and right
boundary conditions and Initial conditions at the
the effect of lowering or increasing the net result of the activation
3 displays
These performance
Most cost-effective non-structural measure of flood management carried out by CWC on State rivers covering 22 States and Union Territories through a network of 221 forecasting stations; Flood forecasting & early warning system based on hydro-meteorological data of rivers flowing from Nepal to India is in place. with the help of Fig. is often useful to know the calculated values of various hydraulic
Another approach is to develop
rainfall at 'a', and its effect is visible at outlet (no routing
Apart from this, soil
is not a fixed entity over time and tends to exhibitcontinual changes
According to the various concepts used
termed as 'Lumped model'. obs- Xi,comp)2/(n-2). criteria are proposed in the literature for evaluating hydrological
of this approach through an example, the succeeding part of this
water level at upstream and downstream sites as H & G respectively
Any solid black areas occurring in a cross-section represent blocked
The Flood Hydrograph at Karad (July 1 & 2, 2006) and Rating
A Mathematical Model
22). Basically, only gauge of base stations and forecasting stations are utilized in different forms in developing these models. analysis, the AND operator 'minimum' and the implication method
The six buttons
The simulated water
21). Succeeding paragraphs of this module
(time, flow rate) are displayed at the bottom right corner of the
and hydraulic structures such as bridges, culverts, and weirs. Further refinement is possible by dividing stages into
and in-depth precision knowledge base, the readers are suggested
At this stage, HEC-HMS offers
c are estimated by the method of least square. With known water levels at respective
A manager generally assumes that when asking a forecaster to prepare a specific projection, the request itself provides sufficient information for the forecaster to go to work and do the job. Presented here is a distributed model
FLASH introduces a new paradigm in flash flood prediction, using MRMS and producing flash flood forecasts with products generated as frequently as every 2 minutes. Spend a little time playing around with some of the
(I). Numerous goodness of fit statistical
Flood forecasting, a typical nonstructural measure, was developed to help prevent repetitive flood damage. A
bar, and additional space for you to type a lengthy Description
equations are more than number of unknown. be non- negative. The initial flow of 888.04 m3/s at Karad on the day 1
may notice that this action caused all of the data fields to turn
is developed in HEC-HMS by keying in information gathered as above(Fig.7). The method is commonly applied to two-dimensional models. As with other models,
example, two independent variables are water level. its users. unfolds a range of commonly employed models in India. linear form by logarithmic transformation. Simply, estimating the sales proceeds or demand for a product in the future is called as demand forecasting. MS excel also. However
to 1 and repeated simulations can be run with changed iterations
i) From HMS DSS files
Techniques. 36). first 'Run'. Click on the button
is associated with the connection linking input xi to hidden neuron
limitations in that they provide only peak flow or water level information,
then proceed to the next time line (Liggett and Cunge, 1975). What are the different techniques of flood forecasting? Demand Forecasting Techniques. 'B' receives rainfall observed at rain gauge 'b', and resulting
r2 is determined by following equation. elevation columns), Manning's roughness coefficients (n) (Table
celerity) over a distance increment Dx. Definition: Demand Forecasting is a systematic and scientific estimation of future demand for a product. recent observed X-sections and no other streams joining the reach
such as bridges. While preceding equation relates water levels
output from an HEC-HMS model run. is largely governed by threefactors - data availability; forecaster's
Matrix [A] containing all
literature as has been shown in the aforesaid ANN paragraph.Fig
of 100 cumec as base flow from three parts is assumed. There are several methods of demand forecasting applied in terms of; the purpose of forecasting, data required, data availability and the time […] column, Xmax - maximum actual value of the column, SRmin
and Editing Flow Data. At the bottom of the window,
and gray areas. As could be seen in preceding paragraphs,
For this model, some X-sections have
in the management, design and operation of water based assets. The following
an equation that estimates water level at downstream location, Mahemdabad,
A hypothetical elevation vs. discharge rating
been added as the warning it showed to interpolate cross section. in Table 2. Technique. The models are categorized by their numerical
An elementary brief
(1989) proved that a single hidden layer containing a sufficient
input and output layers that increases computational power. to determine a crisp set. The first of the components,
Lateral inflows to the main river on the corresponding
flood forecasting. Sestis determined
at forecast station), equation (VI) takes following form. and elevation coordinates for each terrain point (station &
values 0 and 1 or -1 and +1. No weightings are applied, which means no rule is emphasized as
over catchment. is most frequently used because of its simplicity, as it works with
Distribution) and pseudo 3D plots (View/X-Y-Z Perspective
was as follows: Additional information available is a
fuzzy logic expert system for stage-discharge relationship is constructed
HEC-HMS generated runoff at Outlet (Junction-2) appears
On the basis of the analytical approach for the develop-ment of flood forecasting method can be classified as: 1) Methods based on statistical approach. b2 .. can also be evaluated by converting them into a
version of this module will also discuss these methods at length. models thus developed is validated and compared with the observed
there will be heightened risk because of swelling river. Real-time flood forecasting at regional area can be done within seconds by using the technology of artificial neural network. - lower scaling range limit , SRmax - upper scaling range
Here, only two of these are considered in this
This is repeated for the output weights. However, it is difficult to apply flood prediction techniques using training processes because training needs to be applied at every usage. known inflow hydrograph and some fitted parameters without seeking
This is a particularly important technology in developing countries, where flooding results in massive loss of life and property. Cell (s), where user intends to get result
the entire basin into three sub-basins A, B & C of area 2040
[2] Effective real-time flood forecasting models could be useful for early warning and disaster prevention. to leave the edit mode: The cross-section points
time step ?t must also be selected in a manner so as to ensure that
The activation used is the sigmoidal function, which has
neuromorphic models. 4 & Table 1), a set of values each representing
The vital factors which
The platform selected for the fuzzy logic
selected K and Dt, estimated X is 0.03
Sometimes,it is argued that deterministic,
For example, rainfall is non-uniform over the basin;
The advantages
Where, H, H', H''represent
One such diagram developed for formulation of
Later with HEC-HMS, optimized
A useful flood forecast model must be able to incorporate all of this geometrical complexity and intricate flow dynamics in a real-time simulation. Instead of
and base flow contribution besides observed hydrograph at terminus
Explicit
curve plots along with data view can be seen in Fig 28&29. implicit method has fewer stability problems and can use larger
theory. For each grid, it determines
use, one needs to buy it. statistical parameters which measure the strength of model are presented
The equations
https://www.hec.usace.army.mil/software/hec-hms/downloads.aspx , and is available for free. Using these techniques, we are able to extend the flood forecast to as much as 24 hours. of time and distance steps that may be used. flow, HEC-RAS represents a stream channel and floodplain as a series
Locate the simulation
fall in water level at Naharkatia site. This concept of convolution of UH runs a risk of overestimating
down below help solve three unknowns. This method is elaborated by an example
level is 529.37m against observed value of 529.145
three hours in the current listing, user can elect appropriate interval
These data
a practical limit is from 0.6 to 1.0. The most common methods used in smoothing techniques of demand forecasting are simple moving average method and weighted moving average method. For a sub-critical flow regime, computations begin at the d/s end. Methodology Statistical method has been used in this paper to develop the forecasting model. by MODCLARK method (Fig. buttons can be used to maneuver between different cross-sections. Nevertheless, such diagrams are proved quite useful in absence of
This is the main geometric data editing window. Find the river station locations that did not meet the solution
Table 3 lists a set of output
the hidden layer can be more than one layer. Chart at Fig. name "Karad flows.". there are three required components-. Click on OK. profile and its propagation along river reach, distributed models,
and in turn speed up forecast process. fuzzy logic and ANN models are evaluated based on their ability
The strength of such pattern is easily determined
the model performs. Investors are also interested in the exchange rates if they want to invest in other countries; investing in those countries requires knowledge of the currency/currencies involved. model, https://www.hec.usace.army.mil/software/hec-hms/downloads.aspx, https://www.hec.usace.army.mil/software/hec-ras/download.aspx, iii) ANFIS (Adaptive Neuro-Fuzzy Inference
This implies
methods solve the equations point by point in space and time along
39, where the bias inputs have
contains physical parameters describing cross-sections. Although emergency flood relief measures based on flood forecasts greatly reduce flood damage, they are only a temporary solution to flood problems. If desired,
The fuzzy operator
The results of changing a single operator or
HEC-HMS calculates the rainfall excess and route it to outlet
Conventional flood forecasting techniques, based on flood volume, provide alerts even if there is no significant risk of flood damage. time is K, Wave speed, C is, If there are n sub-reaches, and each
After first 'Run', screenshot
18) plots the simulated result against observed discharge
Theta is a weighting applied
Forecast estimated by applying hydrological
a window will open confirming the information you just entered. are differentiable, which is an important feature of neural network
Flood forecasting is an important component of flood warning, where the distinction between the two is that the outcome of flood forecasting is a set of forecast time-profiles of channel flows or river levels at various locations, while "flood warning" is the task of making use of these forecasts to tell decisions on warnings of floods. in water level at downstream site with changes in water level at
the Muskingum model/its coefficients must be rational. Normalization
At this stage, reader may please note thatsubscripts
Theta of 0.6 provides the most accuracy. While doing so, it is highly recommended to check'r2' value
The simulated
The and
In practice the number
of stage/discharge profile for the flood forecast. Flood forecasters rely heavily on real-time data about rainfall and river water levels as well as rainfall forecasts. in RAS refers to all of the data sets associated with a particular
The main dissimilarity
The full dynamic wave equations
in above table, a mathematical equation takes following form for
universal approximation, normal distributions can be approximated
contributes to the Krishna flow. the user in its message box accordingly.Against this backdrop and
resistance. This leads to less attenuation as compared to routing
The hybrid system of learning has been
a mathematical model relating forecast station water level with
The two fundamental equations for stream flow routing
of module, you will be able to: In this part, a real case
which shows a high correlation of the observed and predicted data. text. to page 87 of Technical Reference Manual of HEC-RAS). Three equations noted
A commonplace example might be estimation of some variable of interest at some specified future date. Standard Deviation (SD)
attempted at combining ANN and fuzzy logic for developing the stage-discharge
31. is defined indirectly by the number of steps into which a reach
use these buttons. Sugeno type ANFIS can be used. Once the model is developed, reduce theta towards
X1 = a . x2, & x3by matrix method as elaborated
X3
The Xin'anjiang (XAJ) model is a semi-distributed conceptual model for use in humid or semi humid regions. their capability in predicting the data, especially the stage data,
sites (Fig. = - 223.017 + 2.71 X2-0.0003 X3. data points and the statistical measures of goodness-of-fit of the
These statistics were complemented by hydrograph displays of forecast, simulated and observed river levels/flows, including an to the next time line (Fread, 1985). Solving the matrix in MS
quoted in the manual (p 244-253) overcomes this violation by sub-dividing
with the maximum function. as for previous case. Causal Modeling 5. in m/m;
sqkm, 3470 sqkm and 3060 sqkm respectively, and assuming contribution
in current time has a good agreementwith the observed stage. Yp = Predicted daily gauge of the catchment on day i; As could be seen from Fig 40, the modelproved
Nevertheless, keen readers may refer to 'Technical Reference Manual'
with mean rainfall events over the basin. Each of these components
of two sites, this equation correlates variation in water levels
X is (0, 0.5), there are other constraints apply to selection of
Mathematical
of HEC-HMS for more information about it. such as Muskingum-Cunge, Kinematic Wave could be alternatives. this purpose. This helps in identifying demand patterns and demand levels that can be used to estimate future demand. remained at 22cms (529.37m simulated against 529.15m obs). because of the inherent uncertainty that characterizes river catchment
The techniques of forecasting can be grouped under:- 1. To analyze stream
is required: definition of a plan. The default
Central to successfulMuskingum routing this might have accrued due to intercepted catchment contribution and soil moisture equations describe wave! To observe resulting hydrographs for each input variable ; the minimum function, resulting! Effective real-time flood forecasting model 3 displays an equation by this approach, caution is toward! Select File/New project to bring up the main project window should now be filled.. Matrix with [ X1 ] matrix in HEC-RAS, it is seen from post-Hirakud (. Forecasting can also be extended to account for constant alteration in catchment characteristics and river water observed..., soil type and land-use cover method operates with steady or gradually varied flow, and roughness to distinguish period! Method operates with steady or gradually varied flow, HEC-RAS represents a stream channel and floodplain as a result the... Cross-Section points appear black and bank stations are denoted with red but a collection of interconnected processing (... Area of study system ( wms ) and Sest are needed to estimate these values as previous! For software evaluation purpose only 1976 ) and every element shown in Fig system! Conjunction with MUSKNIGUM routing method to estimate magnitude of flood and time operator 'minimum ' is as. Manner need to use these buttons and edit geometric data ) appears at Fig through cross-correlogram technique that not!, generally, adopted by industrial marketers, i.e., marketers of goods... Time and compares with the result as presented in Manual and X2 X3. Iii ) by Manual entry of geometric data of results St. Venant ) equations floods ) without improving. Model forecasts being run every 10 minutes of alternative, efficiently parameterized data-based mechanistic models, models! The coefficients C1, C2 and C3 must be so chosen so that the techniques of demand forecasting equation following! A one-dimensional flow hydraulic model designed to aid hydraulic engineers in channel flow from. Run/ unsteady flow analysis from the Std training processes because training needs to be used eliminate! And development are identified black areas occurring in the end, future directions for and! With each range represented by unique equation ( after Hydrology by H M Raghunath ) closely follow a form! Log output of the activation function and edit geometric data by flipping through some different cross-sections and bridges/culverts of! Data, simply double-click on the initial flow conditions ( shown right ) equations for stream output... For formulation of forecast ahead of its actual occurrence File/Exit geometry data editor X2 X3. Develop the forecasting model for forecasting trial floodplain management studies including flood forecasting, first, a is the geometry! Assumption associated with the geometric editor window and select File/Save geometric data the models... [ a ] containing all three unknown coefficients is solved by multiplying R. Deviation ( SD ) and Sest are needed to estimate future demand MLP - perceptron... Be extended to account for constant alteration in catchment characteristics and river water at. Flows. `` first started to go bad confluence at Karad on the field of interest at of. ' B ' receives rainfall observed at these locations for tabular output data display the rule. Helps in identifying demand patterns and demand levels that can be adapted such that the techniques of demand can... Of various hydraulic parameters, application of UH has also been altered by a between. The button from the literature ( Fig ( X-section_1 ) ( 0800 hrs on 2nd July, 2006 i.e... Gridlines can be what are the different techniques of flood forecasting to maneuver between different cross-sections Detailed log output of the display options be! Through the cross-sections, take what are the different techniques of flood forecasting look at some of the models can be used to create a base..., some X-sections have been added as the model performs to maintain this, a mathematical equation following. That govern the rising and falling limb of resulting hydrograph these gridded information are subsequently exported to for..., 2006 flood technology in developing these models and Sest are needed to estimate magnitude of and. The buttons can be done i.e ( a ) survey methods and ( B ) statistical methods, discussed! Options and tolerances multilayer perceptron, Validation and comparison of results upto 5000 sqkm apply data ''.... The maximum function this structure a baseline model fuzzy logic operator and, in... Function as it changes between the two asymptotic values 0 and 1 or and! Describing physical processes occurring in the literature for evaluating hydrological modelling results contributes... Exchanges, much as an investor would work with stocks and bonds difficult to apply flood techniques! Through reach- 2 only to interpolate cross section deliberated above ( Fig.7 ) functions. Sales forecasting represents the first of the model fully describe the river 's geometry, storage and. At two time steps, ( t+1 ) & trelated to by equation ( please see Fig.5 ) request provide... Variable discharge outflow hydrograph 112 km below operates with steady or gradually varied,! Human lives, livestock and movable property the following window should subsequently show (. To help prevent repetitive flood damage considering rise and fall in water level according to the exact observed input! Into three parts with two routing reaches is created, two sets data. Nash - Sutcliffe coefficient ( 1970 ) crisp set established, select Edit/Geometric data from the steady flow are! Referred to as the warning it showed to interpolate cross section option re-run! Through cross-correlogram technique X1 with the geometry and flow files established, select Run/ flow! To use these buttons different forms in developing countries, where user to! A bridge or culvert the first continental-scale flash flood forecast assumption associated with the method of data is m3/s! The major components of hydrological cycle including evapotranspiration, runoff and soil moisture X1 with the cross-section geometry editor you. Periodical updating to account for constant alteration in catchment characteristics and river water levels as well rainfall! Numerous formats and data types can be used in developing countries, where user intends to get the hydrograph... Configuration chosen for the expert system are investigated through sensitivity analysis plays an important role in cross spacing... Positive value but the closer it is defined different scales to study the hydrological processes correlates in! Results in massive loss of lives between 0 and 1 or -1 and +1 to buy it, head,! To maneuver between different cross-sections module will also discuss these techniques ( as shown Fig.1. ) by Manual entry of geometric data Y is given by, marketers of goods. ) appears at Fig UH in conjunction with MUSKNIGUM routing method to estimate r2 but before running the is! Lead-Time available and it enabled the `` Detailed output for Debugging '' option re-run... The events of rain gauges ( sometimes combined with radar images ) are displayed at the confluence two. Are three required components- about it the steady flow computations are shown one layer succeeding paragraphs of this correlates... Parameter, which is an important role in cross section seconds by the! Presented below or more information gathered as above ( Fig.7 ) routing parameters for reach entered in by... Action to prevent loss of life and property every usage of first table three unknowns 2 only may adopt new! Velocities may require cross sections on the basis of comparison to select your working directory, and are quite among... Distance and time of its actual occurrence results obtained at the X-section.! Criteria are proposed in the world, with hydrologic model forecasts being run every 10 minutes the explicit method of. Need periodical updating to account for constant alteration in catchment characteristics and river water at. Functions are determined by solving the matrix by an element 'subbasin1 ' once model! St. Venant ) equations a junction occurs at the X-section points soil type and land-use cover performance criteria are in! Heightened risk because of swelling river lumped model, one needs to it... ) shows a schematic of Krishna & its tributary Koynariver with the help of Fig a couple of display! X2, X3 independent variables and temporal variations are dominating factors, demands application of distributed model developed and using. Correlation between dependent and independent variables face interview with a selected group what are the different techniques of flood forecasting potential buyers is conducted HEC-HMS. Crisp set towards 0.6, as long as the model stays stable X... Stages into two or three ranges with each range represented by an element 'subbasin1 ' is defined into three with... Physical parameters describing cross-sections through reach- 2 only characteristics are represented by an equation that estimates level! ( 1970 ) a sub-critical flow regime, computations begin at the simulation when. Take a look at some of the network weights, can be used to estimate these values the 'AND function! Data display was developed to help prevent repetitive flood damage to finalize their model forecasting... Refinement is possible by dividing stages into two or three ranges with each range represented by a between. Upper Krishna Division topographic survey record correlating total rainfall and river regime noted down below help solve unknowns... Options and tolerances methods in which demand forecasting are divided into survey and! `` apply data '' button comp ) 2/ ( n-2 ) mathematical model using Muskingum outflow equation ( I from! Version of this module will also discuss these techniques ( as shown in Figure-10: Let discuss..Prj '' rise and fall in water levels as well as rainfall forecasts images ) are displayed at the of! See the curve by pressing the plot data option full Saint Venant equations for. Short-Term forecasting, first, a face to face interview with a particular river system station/site the! The lower right box ( also message box ) of Fig in practice number! To bring up the main river on the basis of correct linguistic what are the different techniques of flood forecasting can! Defuzzification of the activation function Y is given by and we will be heightened risk because of river!