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Samenvatting  Class notes  Catchment and Climate Hydrology

1615762800 1. Course Info and Context

What is hydrology?Branch of science concerned with the
occurrence , distribution, circulation and properties of water on Earth 
What is catchment hydrology?The study of hydrology in drainage basins. Typically at smaller scales of a hillslope or catchment. Focus on processes and models

What is climate hydrology?Study of interaction between terrestrial water cycle and the climate system. Typically larger spatial and temporal scales and across climate gradients. Focus on extremes and trends. 
Give the mass balance for catchments?Eq: dS/dt = PQET
Rate of water storage change = Fluxin  Fluxout 
1615935600 2. Hydrological models and model evaluation

Is a complex model better because it represents more processes?No, generally not and especially not when following XX law.

Model optimization is an objective process. True/false?False, the modeller has to make many choices. Small changes in the manner of calculation or even starting values can have large effects in the results. 
Give the definition for catchments and endorheic drainage basins and their difference?
Catchment : area of land from which allrunoff converges to a single point (outlet) at a lower elevation.Endorheic : do not drain to see, hence rivers might dry up. Endorheic drainage basins are inland basins that don't drain to an ocean. Around 18% of all land drains to endorheic lakes/seas/sinks. 
Name 3 types of catchments and their characteristics
Endorheic: inland basins that do not drain to the ocean.  Headwater: small catchments which don't contain significant confluences (higher mountains)
 Mesoscale: area 11000 km2

Name two types of discharges and their difference?
Discharge: volume flux of water leaving catchment via streamflow (l/s or m3/s)
Specific discharge: normalized by catchment area (mm/h or mm/d) 
Name one main catchment characteristic
Catchments are a control volume and thus have boundaries. 
Name 3 catchment functionsPartition: interception, infiltration, percolation
Storage: vegetation, depression, channel, lake, bank, detention, GW, retention, snow
Release, ET, streamflow, GW
Taskmodeler : represent these functions and their relationsmathematically 
Describe what a
hydrograph is ? Discharge
vs timegraph past a specific point in space.  Typically measured at outlet
 Limbs: rising/falling
 Direction of time becomes visible (in contrast to precipitation time series that is very erratic)
 Discharge

What is the difference between plotting Q on a log scale vs a normal scale in a hydrograph? How can you use this to differentiatie between quickflow and baseflow?It shows linear and nonlinear areas in hydrograph.
Log is nonlinear transformation.
Drawing linear line/inflection point, from this point, all Q is assumed to originate from (slow) linear GW reservoir.
Plot baseflow separation line.
Everything that behaves more nonlinear than that (above this line), should be fast nonlinear runoff processes.
All flow above this line is quickflow (=fast nonlinear runoff processes).
Baseflow: maybe GW, should behave like linear reservoir, so should decay exponentially in time, so plotting on log scale it should be straight. 
Why are hydro models generally poor whenpredicting extremes? Why is this a problem? Models are too often build during normal conditions and we expect them to work well during extreme conditions, but the conditions might be very different.
Bc those are conditions that cause damage and are scientifically interesting. 
Models have different levels. Assumptions /preconceptions /theories/physical laws can already be considered models. They are a form of ... Model? And what could they grow into?Perceptual model (qualitative ). Often first building blocks of numerical models. 
What is the main difference between conceptual and physicallybased model and what do they have in common? Conceptual models (reservoirs) do not have a differential equation, it's more a mass counting model. They are easier to work with.
Physicallybased model have differential equations, which does not make them necessarily better.
They both solve the same mass balance, and are in that sense both equally physical.
We'll mainly use conceptual models  lumped version. 
Name the 5 steps of model development1. System conceptualization: determine lens of research question that you'll look through with your model
2. Numerical implementation: details very important for model outcome
3. Code verification: does your model reflect concepts you had in mind? During step 2 your model concept might change.
4. Model parameter calibration or optimization: optimize your parameters (based on training dataset)
5. Model output validation: what's the value of your model outcome (rest of splitted dataset used for validation) 
With which factors can an optimum in model complexity be achieved?
Predictive performance Data availability
 Model complexity
>Optimum: more complexity reduces predictive performance 
Explain the difference between accurate and precise (and inaccurate and
imprecise )? Usedartboards in your explanation. Which statistical concepts do they represent?Bias = accuracy
Variance = precision 
What is Occam's razor (law of parsimony)?
Problemsolving principle at core of many theories in science, law ofparsimony .Entities should not bemultiplied without necessity.
When presented with competinghypotheses that make the same predictions, one should always select the solution with thefewest assumptions . Note: the razor is not meant to be a way of choosing betweenhypotheses that make different predictions(!). 
Name 3 implications of Ockhams' razor?
 Determine how many assumptions and conditions are necessary for each explanation to be correct.
 If an explanation requires extra assumptions or conditions, demand evidence proportional to the strength of each claim.
 Extraordinary claims require extraordinary evidence.

Name the 3 inputs and two outputs of a model simulationInput:
 model parameters/
variables  initial conditions (for all model state
variables , typically have adifferential equation behind them)  Model/atmospheric forcing (e.g. P, T,
RH )
Output: Model
variables (e.g. Q, ET)  State
variables (e.g. S  left sidedifferential eq )
 model parameters/

What would leaf area index be in model input?Depends on model and purpose of model!
In many models, it would be an input, e.g. Parameter that varies per month and influences ET. Vegetation could also be a state variable (as the thing you want to predict), coevolving with water storage. 
How to quantify how well a model fits the data?2nd half of
lecture 
What is the difference between NashSutcliffe and Coefficient of determination/R^2?Mathematically same thing.
NashSutfcliffe goes from  infinity to +1 in same equation
If you use R^2 you do that on a linear fit (so you've already optimized the fit, the fit can never be worse than optimal/average?)
Min 70!! 
Explain the drawbacks of
NSE, based on slide 23 and 25 (paper by Schaefli and X) See min 75.
25: Seasonality  maybe not using the mean as benchmark anymore due to seasonality. Nash values would take only average over the whole year. 
What do
Schaefli and Gupta suggest to improve the precipirationbased benchmark efficiency? Explain this in 4 stepsBenchmark calendar day > includes seasonality.
4 steps as zero hypothesis 
What is KGE and how does it differ from NSE?Range is similar, but interpretation of values is different.
KGE solves3rd issue with Nash.KGE takes correlation, bias and relative contr... And weighs them equally into theNSE equation. That's main reason why KGE is gaining popularity 
How can NSE be deconstructed?
Smt with unequal weighing 
Name and summarize the 3 issues with NSE and their current solutions.1. ?
2. Seasonality  solution suggested by Gupta and Schaefli(?)
3. Unequal weighing of bias/variability and correlation  KGE proposes equal weighing. 
What's a constrain of modelling all nonlinear flow as runoff processes in a hydrograph, as is often done in models?You only look at catchment response and not at processes that are going on. Maybe diff explanations that would come up the same hydrograph.

Explain the main hydrological modeling concepts (learning goal)

Explain something abou tthe common model performance metrics (learning goal)

Give several tradeoffs in model complexity and model evaluation (learning goal)

What happens when you do a log transform on a hydrograph (Qaxis)? Give a mathematical example of a nonlinear process.Log is nonlinear transformation, thus if a certain process behaves nonlinear, it will become a straight line on the logscaled axis.
A nonlinear process would be exponential decay. 
How do accuracy (
bias ) and precision (var ) behave in relation to modelcomplexity and why? How can this be practically used?Variance increases, bias decreases, due to growing model flexibility. Superposition forms a minimum of optimal model complexity.
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How do accuracy (bias) and precision (var) behave in relation to model complexity and why? How can this be practically used?
Variance increases, bias decreases, due to growing model flexibility. Superposition forms a minimum of optimal model complexity.
Explain the difference between accurate and precise (and inaccurate and imprecise)? Use dartboards in your explanation. Which statistical concepts do they represent?
Bias = accuracy
Variance = precision
Variance = precision
What is the main difference between conceptual and physicallybased model and what do they have in common?
Conceptual models (reservoirs) do not have a differential equation, it's more a mass counting model. They are easier to work with.
Physicallybased model have differential equations, which does not make them necessarily better.
They both solve the same mass balance, and are in that sense both equally physical.
We'll mainly use conceptual models  lumped version.
Physicallybased model have differential equations, which does not make them necessarily better.
They both solve the same mass balance, and are in that sense both equally physical.
We'll mainly use conceptual models  lumped version.
Models have different levels. Assumptions/preconceptions/theories/physical laws can already be considered models. They are a form of ... Model? And what could they grow into?
Why are hydro models generally poor when predicting extremes? Why is this a problem?
Models are too often build during normal conditions and we expect them to work well during extreme conditions, but the conditions might be very different.
Bc those are conditions that cause damage and are scientifically interesting.
Bc those are conditions that cause damage and are scientifically interesting.
What is the difference between plotting Q on a log scale vs a normal scale in a hydrograph? How can you use this to differentiatie between quickflow and baseflow?
It shows linear and nonlinear areas in hydrograph.
Log is nonlinear transformation.
Drawing linear line/inflection point, from this point, all Q is assumed to originate from (slow) linear GW reservoir.
Plot baseflow separation line.
Everything that behaves more nonlinear than that (above this line), should be fast nonlinear runoff processes.
All flow above this line is quickflow (=fast nonlinear runoff processes).
Baseflow: maybe GW, should behave like linear reservoir, so should decay exponentially in time, so plotting on log scale it should be straight.
Log is nonlinear transformation.
Drawing linear line/inflection point, from this point, all Q is assumed to originate from (slow) linear GW reservoir.
Plot baseflow separation line.
Everything that behaves more nonlinear than that (above this line), should be fast nonlinear runoff processes.
All flow above this line is quickflow (=fast nonlinear runoff processes).
Baseflow: maybe GW, should behave like linear reservoir, so should decay exponentially in time, so plotting on log scale it should be straight.
What happens when you do a log transform on a hydrograph (Qaxis)? Give a mathematical example of a nonlinear process.
Log is nonlinear transformation, thus if a certain process behaves nonlinear, it will become a straight line on the logscaled axis.
A nonlinear process would be exponential decay.
A nonlinear process would be exponential decay.
What's a constrain of modelling all nonlinear flow as runoff processes in a hydrograph, as is often done in models?
You only look at catchment response and not at processes that are going on. Maybe diff explanations that would come up the same hydrograph.
Describe what a hydrograph is?
 Discharge
vs timegraph past a specific point in space.  Typically measured at outlet
 Limbs: rising/falling
 Direction of time becomes visible (in contrast to precipitation time series that is very erratic)
Model optimization is an objective process. True/false?
False, the modeller has to make many choices. Small changes in the manner of calculation or even starting values can have large effects in the results.