WSP11570

• File Number: 8111.807
• Description: Arkansas River Compact Administration - Stream Gage Evaluation
• Basin: Arkansas
• Date: 1/1/1980
• Author: USGS
• Title: Cost-Effective Stream Gaging Strategies for the Lower Colorado River
• Water Supply Pro - Doc Type: Publication

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v(t)

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!!-(t)

Measurement error at time t.

Vector of measurement errors at time t.

wet) Random variable at time t.

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1:l..(t)

~(t)
~(t)
Xl (t)

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;1 (t)

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Xl (t)

Xz (t)
X2 (t)

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*
x2 (t)

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z(t)

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~(t)

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a.
J
at

s

f3{
f(6)

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o(t)

y

6

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e

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A.
J

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Vector of random variables at time t.

General vector of state variables.

Vector of derivatives with respect to time of the state variables.

Difference between true and rated accumulated discharge since
the beginning of a water year at time t.

First derivative with respect to time of the difference between
true and rated, accumulated discharge since the beginning of the
water year.

Difference between computed and rated accumulated discharge since
the beginning of a water year at time t.

Difference between true and rated discharge rate at time t.

First derivative with respect to time of the difference between
true and rated discharge rate at time t.

Optimal smoothed estimate of the difference between true and rated
discharge rate at time t.

Difference between measured and' rated discharge at time t.

Vector of measurements at time t.

Unit cost of a visit to the jth streamgage.

Weight given to forward filter estimate of discharge rate.

Inverse of the correlation-time constant of a first order Markovian
process.

Unit travel cost for route i.

Autocovariance of discharge rates separated by a time interval 6 .

Error of estimation of total discharge during a year.

Lag time of an autocovariance function.

Difference in two water-surface elevations at time t.

Dimensionless parameter in the covariance function of forward
and backward estimates of discharge rate.

"unimum number of visits per year to station j.
xii

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