Protection of the public and the environment standards? Rodolfo Avila.

46
Protection of the public and the environment standards? Rodolfo Avila

Transcript of Protection of the public and the environment standards? Rodolfo Avila.

Page 1: Protection of the public and the environment standards? Rodolfo Avila.

Protection of the public and the environment

standards?

Rodolfo Avila

Page 2: Protection of the public and the environment standards? Rodolfo Avila.

Outline

• Risk - a probabilistic concept• How to quantify risks • The ICRP’s Representative Individual• Example: Assessments for High Level

Waste Repositories• Standards • Handling of uncertainties

Page 3: Protection of the public and the environment standards? Rodolfo Avila.

Definition of Risk

• The word risk derives from the early Italian “risicare” , which means to dare

• Risk is the "possibility of loss or injury: peril.” (Webster Dictionary, 1999)

Page 4: Protection of the public and the environment standards? Rodolfo Avila.

Decision under uncertaintyIngredients:

• A partition of possible states of affairs

• The possible acts that the agent can undertake

• The utilities of the consequences of each possible act, in each possible state of affairs of the partition

Page 5: Protection of the public and the environment standards? Rodolfo Avila.

Le pari de Pascal Pensees, 1660

God is, or he is not. Which way should you incline?

”Reason cannot answer”

God is God

is not

Devoted + ∞ 0

Bohemian -∞ 0

Page 6: Protection of the public and the environment standards? Rodolfo Avila.

Antoine Arnauld 1662

• Fear of harm ought to be proportional not merely to the gravity of harm, but also to the probability of the event(”La logique, ou l´art de penser” a bestseller at the time)

The concept of risk has (two) elements: the likelihood of something happening and the consequences if it happens

Page 7: Protection of the public and the environment standards? Rodolfo Avila.

Expectation

• The expected value of an act is the sum of the products (Utilities x probabilities)

God is God

is not

Expectation

Devoted + - 0/+/-

Bohemian -∞ + -∞

Page 8: Protection of the public and the environment standards? Rodolfo Avila.

Dominance expected value rule

• In every admissible probability distribution, one act has greater expected value than every other act, then this act dominates the others in expected value

If one act dominates the others in expected value

DO IT!

Page 9: Protection of the public and the environment standards? Rodolfo Avila.

What is probability?

• The ancient Greek word meant plausible or probable. Socrates defined it as ”likeness to truth”

• Probability is a measure of our confidence that something is going to happen. Probable means to be expected with some degree of certainty

Page 10: Protection of the public and the environment standards? Rodolfo Avila.

Conditional probabilities

• Any probability P(E) of an event E is conditional to some stipulated model or assumption (A1), it should strictly be written P(E|A1), i.e. the probability of E, given A1.

• There may be other assumptions (A2, A3, A4, … Ai) in addition to the assumption A1 believed to be the most likely.

How can this fact be taken into account?

Page 11: Protection of the public and the environment standards? Rodolfo Avila.

”A priori” and ”a posteriori”

• A priori probability- estimated before the fact. Can be reliable ”only for the most part”

• A posteriori probability- estimated after the fact. By taking a sufficient large sample, you can increase your confidence in the estimated probability to whatever degree you wish.

But, how reliable this probability is for predicting future events?

Page 12: Protection of the public and the environment standards? Rodolfo Avila.

Measuring Risk

• Risk is the probability that the Exposure is above the Standard

• The Risk Quotient

RQ = Exposure/Standard

Page 13: Protection of the public and the environment standards? Rodolfo Avila.

From Releases to Harmful Effects

Releases

Con

tam

inat

ion

Exposure of Man

Exposure of biota

Effects of Man

Effects on biota

Page 14: Protection of the public and the environment standards? Rodolfo Avila.

Representative individual - ICRP

• Since dose to the public cannot be measured directly, it must be estimated using environmental concentrations and appropriate habit data. Therefore, for the purpose of protection of the public, it is necessary to define a hypothetical exposed person to be used for determining compliance with the dose constraint and for introduction of a practice.

• This is the representative individual. The representative individual is the hypothetical individual receiving a dose that is representative of the most highly exposed individuals in the population.

Page 15: Protection of the public and the environment standards? Rodolfo Avila.

Dose Distribution

0

0.5

1

1.5

2

2.5

3

0 0.625 1.25 1.875 2.5

Dose constrain

Page 16: Protection of the public and the environment standards? Rodolfo Avila.

Example HLW repository

Page 17: Protection of the public and the environment standards? Rodolfo Avila.

The regulatory requirement

• One way of defining the most exposed group is to include the individuals that receive a risk in the interval from the highest risk down to a tenth of this risk. If a larger number of individuals are considered to be included in such a group, the arithmetic average of individual risks in the group should be used for demonstrating compliance with the criterion for individual risk in the regulations (i.e. 10-6 per year)….

• If the group only consists of a few individuals, the criterion of the regulations of individual risks can be considered of being complied with if the highest calculated individual risk does not exceed 10-5 per year….

Page 18: Protection of the public and the environment standards? Rodolfo Avila.

1632000

1632000

1634000

1634000

670

000

0

670

000

0

0 10,5 km

From GSD-Terrängkartan © LantmäteriverketGävle 2001, Consent M2001/52682004-xx-xx 00:00

^

^

^

^

^^

^

^̂^

^̂̂̂

^

^̂^^̂̂̂̂̂

^

^^^̂̂^

^^

^^^

^^

^^^

^^

^̂̂

^^^^^̂^̂̂

^

^

^

^̂̂^^

^

^̂^

^

^

^̂ ^^^

^

^

^

^

^^

^

^^̂̂̂̂^

^

^

^ ^̂^

^^ ^

^

^

^

^^

^

^

^

^̂^

^

^

^

^

^^^

^

^

^

^

^

^

^

^

^̂̂^

^

^

^

^^

^̂^

^

^

^

^^

^

^

^

^

^

^̂̂

^^

^

^

^̂̂̂̂

^

^̂ ^

^

^

^ ^

^

^

^̂̂

^

^

^

^^

^

^

^

^^

^

^^

^

^

^

^^̂̂̂̂

^

^

^̂̂̂

^^

^̂̂

^ ^

^

^ ^̂

^^

^̂̂

^^

^

^^

^^

^

^

^

^^

^

^

^

^

^^^̂

^^

^

^

^^

^̂̂

^

^

^

^^

^̂̂^

^

^^

^^

^

^̂^

^

^^

^

^^

^

^

^^

^

^

^

^^

^

^

^̂̂

^

^^̂^

^ ^^ ^^̂̂

^

^

^

^

^

^

^^

^ ^̂^̂

^̂̂̂

^^

^

^^

^^̂̂̂ ^̂^̂

^

^

^

^

^

^^^

^̂^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^̂^

^

^^

^^

^^^̂̂^

^

^

^̂̂

^

^

^

^

^^^

^

^

^

^^^

^

^ ^

^

^

^^

^

^

^̂̂

^

^^

^ ^̂

^

^

^̂̂̂̂

^^

^

^

^^

^̂̂

^

^

^

^

^

^

^

^

^

^^

^

^^

^^

^

^

^

^^̂

^̂̂

^

^

^^

^

^^

^

^^

^^^

^

^

^

^̂̂

^̂̂̂

^^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^̂̂^^

^

^̂̂

^ ^̂

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^̂̂

^

^

^

^

^

^

^

^

^ ^

^̂̂̂̂̂

^

^

^

^

^̂̂

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^^

^ ^

^^

^

^

^

^^

^

^

^

^

^

^

^^

^

^

^^

^

^

^

^

^^^^

^

^

^

^^^

^^^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^̂^

^

^

^

^

^̂̂̂

^^

^

^

^

^

^

^

^

^

^̂̂^ ^

^^̂̂

^

^

^

^

^

^^ ^̂^

^

^̂^̂

^^

^

^

^

^

^̂^

^

^

^

^

^

^

^̂^

^^̂̂̂

^

^

^^

^

^

^

^

^̂̂

^

^

^^ ^

^

^

^^

^

^

^

^^̂

^

^

^

^

^

^

^^

^

^̂̂

^̂̂^

^

^^

^^̂

^

^

^^

^

^

^

^

^

^^̂

^

^

^̂̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^ ^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^ ^

^

^^̂

^

^̂̂

^

^ ^

^^

^

^

^

^

^

^

^

^

^̂̂

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^^

^

^^

^^̂̂̂

^

^^

^^̂̂

^

^

^

^

^

^

^̂^

^

^̂^̂^

^^^

^̂̂̂^̂̂̂^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^ ^

^

^

^^

^

^

^

^

^

^^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂^̂̂̂

^

^^̂̂̂̂^ ^̂̂^̂̂̂̂

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^̂̂̂̂̂^̂

^^̂̂̂

^^̂

^

^

^

^

^^

^

^

^

^̂^

^

^

^

^

^

^

^

^ ^̂̂̂

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^^

^

^

^

^

^ ^

^̂̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂

^

^

^

^

^

^

^^

^

^^

^

^

^

^^

^^̂

^

^^

^

^^

^

^^

^

^̂̂

^

^

^

^

^

^

^^

^

^

^

^

^^̂ ^

^^

^

^̂^

^

^^

^

^

^

^^̂̂̂̂^ ^

^

^

^

^

^

^

^

^

^

^̂ ^

^

^^

^^

^ ^

^^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂^

^^

^^

^

^

^

^^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^^

^

^

^

^

^

^^

^

^

^

^

^

^

^^

^

^

^^^

^ ^

^

^̂̂̂

^

^

^

^

^

^

^^

^

^̂̂^^

^

^

^^

^

^^ ^

^

^̂̂

^

^

^̂^

^^

^^

^

^

^

^

^

^

^

^

^

^̂̂̂^^

^

^

^

^^

^̂̂

^

^

^ ^

^

^

^

^

^ ^̂̂^ ^^ ^̂

^

^

^̂̂^̂̂ ^

^^^

^

^^^

^

^

^^^

^̂̂̂̂ ^̂

^

^^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂^

^

^

^^

^

^^

^

^

^

^

^

^

^

^̂̂

^̂̂̂̂

^^^̂

^

^

^^

^

^^

^^

^

^

^^^

^

^

^̂^

^̂̂̂̂̂̂

^^^

^

^̂̂̂̂̂̂̂̂̂

^

^̂̂̂̂̂

^̂^

^̂̂̂̂̂̂̂^

^̂̂̂̂̂̂^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂

^

^

^

^^̂

^^̂̂^̂

^̂̂̂̂̂̂̂̂̂̂

^

^̂̂̂

^

^̂^

^̂̂̂^

^̂^

^

^

^

^̂̂

^̂̂

^^

^ ^

^̂̂̂̂̂̂̂̂̂̂̂̂^^

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂

^̂̂

^̂̂̂̂̂̂̂̂

^

^̂̂̂

^

^

^^

^^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂^

^̂̂

^

^̂̂̂̂̂̂^

^̂̂̂̂̂̂

^

^̂̂̂

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂

^

^̂̂̂̂̂̂^

^

^̂̂̂̂̂

^

^̂̂

^

^̂̂

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂^

^^

^

^^

^

^

^

^̂̂̂̂̂

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂^̂

^

^

^

^̂̂̂̂̂̂̂̂̂̂̂

^

^̂̂̂̂̂̂^

^

^

^^

^

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂

^

^̂̂̂

^^

^

^

^̂̂̂̂^

^^

^̂̂̂̂̂

^

^

^

^

^̂̂

^

^

^

^^

^̂̂̂

^

^

^̂̂̂

^

^̂^

^

^

^

^

^

^

^

^

^

^

^

^^^̂̂̂̂̂^^̂

^

^

^

^

^^

^^

^

^

^

^

^

^

^

^

^

^̂^

^ ^̂̂

^

^

^

^

^

^

^

^

^

^^ ^

^

^^

^

^

^^

^

^

^

^ ^

^^

^

^

^

^^

^

^

^

^̂̂̂̂

^

^

^

^

^

^

^^̂̂̂̂̂

^

^̂̂

^

^̂̂

^

^̂̂̂̂̂̂^

^

^

^

^

^

^

^

^

^

^ ^̂

^

^

^

^

^

^

^^

^

^^̂

^

^̂^

^̂̂

^

^

^^̂

^^̂

^

^̂̂

^

^̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^̂^̂

^̂̂̂

^^

^

^

^

^

^

^^

^

^

^̂̂̂

^

^

^̂̂̂

^

^^

^

^^̂

^

^^̂̂

^^

^

^

^

^

^

^

^

^

^

^

^̂̂

^

^

^^

^̂̂

^̂^

^

^

^^

^

^

^

^

^^^̂

^

^

^

^

^

^

^̂̂

^

^

^^

^

^^^

^

^^

^

^

^^̂̂

^

^̂̂

^

^

^

^

^

^

^

^

^

^

^^

^̂̂̂̂̂

^

^^

^

^^̂

^

^^

^

^

^^

^

^

^

^̂̂̂

^

^

^

^^^

^

^̂̂

^

^̂̂

^

^

^

^

^

^̂^̂

^̂^̂

^

^

^^

^^

^

^

^̂̂

^

^

^

^

^

^

^

^

^̂̂

^

^

^

^

^^

^

^

^

^

^^

^

^

^

^

^^̂

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^̂^̂

^

^̂̂^̂

^

^^̂̂

^

^

^

^̂̂̂^

^

^^

^

^

^

^̂̂

^

^

^

^

^

^̂^̂

^

^

^

^

^

^

^̂̂^̂

^

^

^̂^

^

^ ^^

^^

^

^

^

^

^̂^̂̂

^^

^̂̂

^

^

^

^

^

^

^

^

^^

^

^^

^

^^

^^̂

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^̂̂̂̂

^^

^̂̂

^

^

^^̂̂

^

^^

^

^

^̂^

^

^

^^

^

^

^

^

^

^

^

^̂^

^

^

^

^

^^

^

^^̂

^

^

^

^^

^

^

^

^

^

^

^ ^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^ ^

^

^

^

^

^

^̂̂

^

^

^

^

^

^

^

^

^

^̂^

^

^

^^

^

^

^

^

^^

^^̂̂

^

^

^

^

^

^^^^

^̂̂

^^^̂̂̂

^

^

^

^

^

^

^

^^

^^

^

^

^

^

^

^

^

^

^

^^

^

^̂̂

^^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^ ^

^

^

^

^

^

^

^^

^̂^

^

^^^

^

^

^ ^

^

^

^^^ ^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^̂^

^

^

^^

^^

^

^

^

^

^

^

^

^^

^ ^

^

^

^

^^

^

^

^

^^

^

^^

^

^

^

^

^

^^

^

^̂^

^^

^

^

^

^

^

^

^̂̂̂̂̂̂̂

^

^

^̂̂

^

^

^

^

^^

^

^̂̂

^

^

^

^

^̂̂

^^

^̂̂̂̂

^

^

^

^

^

^̂̂

^

^̂̂̂̂̂̂̂̂

^

^^

^̂̂

^

^

^̂̂

^

^

^

^

^

^

^̂̂

^

^̂̂

^

^

^

^

^̂̂̂

^

^

^

^

^̂̂

^

^

^

^̂̂

^

^^

^̂̂

^

^

^

^

^^

^

^̂̂

^

^

^

^̂̂̂

^

^

^

^̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂

^

^

^

^

^

^^̂̂̂̂̂

^

^̂̂̂̂̂

^

^

^

^̂̂̂

^̂̂

^

^̂̂̂

^

^

^

^^

^̂̂

^̂̂̂̂̂

^

^

^

^

^

^^̂

^

^̂̂̂

^

^

^̂̂̂

^

^̂̂̂

^

^

^

^ ^̂̂̂̂^^̂

^

^̂̂

^̂̂

^

^

^

^̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂̂̂̂^

^̂̂̂̂̂̂̂̂̂̂̂^

^^̂̂̂̂

^

^

^

^

^̂̂̂̂̂̂

^

^^ ^̂̂

^

^^

^

^^^̂̂̂

^

^̂̂̂

^

^

^

^

^

^̂̂̂̂̂

^

^

^

^

^̂̂

^

^

^̂̂^ ^̂

^

^̂̂̂̂̂̂

^

^

^

^

^

^̂̂̂

^

^

^

^̂̂^^

^

^

^

^

^

^

^^̂̂̂̂̂

^

^

^

^̂̂̂̂̂^ ^̂

^

^

^

^^

^

^

^̂̂̂̂̂

^

^̂̂

^

^̂̂

^̂ ^

^̂̂̂̂^

^

^

^

^

^

^̂^

^

^

^^̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^^

^

^̂^

^ ^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^^

^^

^

^

^

^̂̂^

^^

^

^ ^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^̂^

^

^

^

^^ ^

^^

^

^^̂

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^ ^

^

^

^

^^

^ ^

^

^

^

^

^

^

^

^

^

^

^^ ^

^̂̂

^

^

^

^

^

^ ^

^

^

^

^

^

^

^

^

^

^

^

^̂^ ^

^

^

^

^

^

^

^ ^

^

^

^

^^

^

^

^

^

^

^

^ ^

^

^^

^

^

^^^

^̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^̂̂

^

^

^

^

^

^

^

^^

^̂̂

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^̂ ^^

^

^

^

^

^

^̂^^ ^̂̂

^

^

^̂̂̂

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^^̂

^

^

^

^^

^

^̂̂̂̂̂^̂̂̂̂̂̂

^

^

^

^

^

^

^

^̂^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂

^

^

^^

^

^

^

^

^

^

^

^

^^

^^

^

^

^ ^̂

^

^^ ^

^

^^̂

^^ ^

^

^

^

^

^

^̂̂̂^ ^̂^

^^^

^

^ ^^ ^̂̂̂̂^̂^̂̂^

^

^̂̂

^

^

^

^

^^

^^

^

^

^^

^̂̂^^ ^

^

^ ^

^

^

^

^

^̂̂

^

^

^

^

^ ^

^^

^

^

^

^

^̂̂

^

^^^

^

^^^^

^^

^

^

^

^

^

^

^̂̂

^̂̂̂

^^

^

^ ^

^̂̂

^

^̂̂

^

^

^

^

^^

^

^

^̂̂

^^ ^

^

^

^

^

^

^ ^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂̂

^

^

^

^

^̂̂̂̂̂̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^̂̂

^

^

^

^̂^

^

^

^̂̂

^

^

^̂̂

^^

^

^

^

^

^

^

^

^

^̂̂

^^^

^

^

^^^̂

^̂̂

^

^^

^

^

^

^

^

^^

^^

^^

^̂^^^

^

^

^

^ ^

^

^

^

^

^

^

^

^

^

^̂̂̂̂̂

^^ ^

^ ^̂

^^

^

^^^^

^

^^

^

^^

^^̂

^

^

^

^

^

^^^^

^

^̂^

^̂̂^̂

^

^

^

^^

^

^

^

^

^

^

^

^̂^

^^

^

^̂̂

^

^

^

^

^^

^

^

^

^

^

^

^^

^

^

^^^

^

^

^

^

^

^

^^^

^

^

^

1632000

1632000

1634000

1634000

670

000

0

670

000

0

0 10,5 km

From GSD-Terrängkartan © LantmäteriverketGävle 2001, Consent M2001/52682004-xx-xx 00:00

1632000

1632000

1634000

1634000

670

000

0

670

000

0

0 10,5 km

From GSD-Terrängkartan © LantmäteriverketGävle 2001, Consent M2001/52682004-xx-xx 00:00

Lake

Lake

Lake

Mire

Mire

Mire

Mire

Mire

Coast

Forest

RunningWater

Coast

Mire

+

+

+

+

++

 

Page 19: Protection of the public and the environment standards? Rodolfo Avila.

Dose Distribution

10-14

10-13

10-12

10-11

10-10

0107

1000

2000

3000

4000

5000

6000

5 25 4 9 14 8

6

10

13 24 7 21

18 26 15

12 19 20

11

17

16 22 3 2

23

Dose, Sv/y per Bq/y

N

ID5 (0.1) mire

ID25

(0.1) runwat

ID4 (4.1) coast

ID9 (78.6) agriland

ID14

(6.0) lake

ID8 (304.2) agriland

ID6 (234.6) agriland

ID10

(226.7) agriland

ID13

(2.8) lake

ID24

(0.1) runwat

ID7 (87.8) agriland

ID21

(145.1) agriland

ID18

(109.5) agriland

ID26

(0.4) runwat

ID15

(141.6) agriland

ID12

(169.7) agriland

ID19

(88.4) agriland

ID20

(279.1) agriland

ID11

(258.2) agriland

ID17

(763.9) agriland

ID16

(55.7) agriland

ID22

(0.0) runwat

ID3 (82.9) coast

ID2 (1070.0) coast

ID23

(0.3) runwat

max/10 (3e-012)

max (3e-011)N (107)

Page 20: Protection of the public and the environment standards? Rodolfo Avila.

Selecting the appropriate type of standard

ReleasesC

onta

min

atio

n

Exposure of Man

Exposure of biota

Effects of Man

Effects on biota

Release rate Concentrations Dose rates, doses probability of effects

Total releases Affected area Collective dose number of effects

Page 21: Protection of the public and the environment standards? Rodolfo Avila.

Measuring Risk with Probabilistic Standards

0

0.02

0.04

0.06

0.08

0.1

0.12

0 15 30 45

Page 22: Protection of the public and the environment standards? Rodolfo Avila.

Measuring Risk

• Risk is the probability that the Exposure is above the Standard

• The Risk Quotient

RQ = Exposure/Standard

Page 23: Protection of the public and the environment standards? Rodolfo Avila.

Risk Profile

0

0.5

1

1.5

2

2.5

3

0 0.625 1.25 1.875 2.5

1

Page 24: Protection of the public and the environment standards? Rodolfo Avila.

Protection of the public and the environment

standards?

Rodolfo Avila

Page 25: Protection of the public and the environment standards? Rodolfo Avila.

Outline

• Risk - a probabilistic concept• How to quantify risks • The ICRP’s Representative Individual• Example: Assessments for High Level

Waste Repositories• Standards • Handling of uncertainties

Page 26: Protection of the public and the environment standards? Rodolfo Avila.

Definition of Risk

• The word risk derives from the early Italian “risicare” , which means to dare

• Risk is the "possibility of loss or injury: peril.” (Webster Dictionary, 1999)

Page 27: Protection of the public and the environment standards? Rodolfo Avila.

Decision under uncertaintyIngredients:

• A partition of possible states of affairs

• The possible acts that the agent can undertake

• The utilities of the consequences of each possible act, in each possible state of affairs of the partition

Page 28: Protection of the public and the environment standards? Rodolfo Avila.

Le pari de Pascal Pensees, 1660

God is, or he is not. Which way should you incline?

”Reason cannot answer”

God is God

is not

Devoted + ∞ 0

Bohemian -∞ 0

Page 29: Protection of the public and the environment standards? Rodolfo Avila.

Antoine Arnauld 1662

• Fear of harm ought to be proportional not merely to the gravity of harm, but also to the probability of the event(”La logique, ou l´art de penser” a bestseller at the time)

The concept of risk has (two) elements: the likelihood of something happening and the consequences if it happens

Page 30: Protection of the public and the environment standards? Rodolfo Avila.

Expectation

• The expected value of an act is the sum of the products (Utilities x probabilities)

God is God

is not

Expectation

Devoted + - 0/+/-

Bohemian -∞ + -∞

Page 31: Protection of the public and the environment standards? Rodolfo Avila.

Dominance expected value rule

• In every admissible probability distribution, one act has greater expected value than every other act, then this act dominates the others in expected value

If one act dominates the others in expected value

DO IT!

Page 32: Protection of the public and the environment standards? Rodolfo Avila.

What is probability?

• The ancient Greek word meant plausible or probable. Socrates defined it as ”likeness to truth”

• Probability is a measure of our confidence that something is going to happen. Probable means to be expected with some degree of certainty

Page 33: Protection of the public and the environment standards? Rodolfo Avila.

Conditional probabilities

• Any probability P(E) of an event E is conditional to some stipulated model or assumption (A1), it should strictly be written P(E|A1), i.e. the probability of E, given A1.

• There may be other assumptions (A2, A3, A4, … Ai) in addition to the assumption A1 believed to be the most likely.

How can this fact be taken into account?

Page 34: Protection of the public and the environment standards? Rodolfo Avila.

”A priori” and ”a posteriori”

• A priori probability- estimated before the fact. Can be reliable ”only for the most part”

• A posteriori probability- estimated after the fact. By taking a sufficient large sample, you can increase your confidence in the estimated probability to whatever degree you wish.

But, how reliable this probability is for predicting future events?

Page 35: Protection of the public and the environment standards? Rodolfo Avila.

Measuring Risk

• Risk is the probability that the Exposure is above the Standard

• The Risk Quotient

RQ = Exposure/Standard

Page 36: Protection of the public and the environment standards? Rodolfo Avila.

From Releases to Harmful Effects

Releases

Con

tam

inat

ion

Exposure of Man

Exposure of biota

Effects of Man

Effects on biota

Page 37: Protection of the public and the environment standards? Rodolfo Avila.

Representative individual - ICRP

• Since dose to the public cannot be measured directly, it must be estimated using environmental concentrations and appropriate habit data. Therefore, for the purpose of protection of the public, it is necessary to define a hypothetical exposed person to be used for determining compliance with the dose constraint and for introduction of a practice.

• This is the representative individual. The representative individual is the hypothetical individual receiving a dose that is representative of the most highly exposed individuals in the population.

Page 38: Protection of the public and the environment standards? Rodolfo Avila.

Dose Distribution

0

0.5

1

1.5

2

2.5

3

0 0.625 1.25 1.875 2.5

Dose constrain

Page 39: Protection of the public and the environment standards? Rodolfo Avila.

Example HLW repository

Page 40: Protection of the public and the environment standards? Rodolfo Avila.

The regulatory requirement

• One way of defining the most exposed group is to include the individuals that receive a risk in the interval from the highest risk down to a tenth of this risk. If a larger number of individuals are considered to be included in such a group, the arithmetic average of individual risks in the group should be used for demonstrating compliance with the criterion for individual risk in the regulations (i.e. 10-6 per year)….

• If the group only consists of a few individuals, the criterion of the regulations of individual risks can be considered of being complied with if the highest calculated individual risk does not exceed 10-5 per year….

Page 41: Protection of the public and the environment standards? Rodolfo Avila.

1632000

1632000

1634000

1634000

670

000

0

670

000

0

0 10,5 km

From GSD-Terrängkartan © LantmäteriverketGävle 2001, Consent M2001/52682004-xx-xx 00:00

^

^

^

^

^^

^

^̂^

^̂̂̂

^

^̂^^̂̂̂̂̂

^

^^^̂̂^

^^

^^^

^^

^^^

^^

^̂̂

^^^^^̂^̂̂

^

^

^

^̂̂^^

^

^̂^

^

^

^̂ ^^^

^

^

^

^

^^

^

^^̂̂̂̂^

^

^

^ ^̂^

^^ ^

^

^

^

^^

^

^

^

^̂^

^

^

^

^

^^^

^

^

^

^

^

^

^

^

^̂̂^

^

^

^

^^

^̂^

^

^

^

^^

^

^

^

^

^

^̂̂

^^

^

^

^̂̂̂̂

^

^̂ ^

^

^

^ ^

^

^

^̂̂

^

^

^

^^

^

^

^

^^

^

^^

^

^

^

^^̂̂̂̂

^

^

^̂̂̂

^^

^̂̂

^ ^

^

^ ^̂

^^

^̂̂

^^

^

^^

^^

^

^

^

^^

^

^

^

^

^^^̂

^^

^

^

^^

^̂̂

^

^

^

^^

^̂̂^

^

^^

^^

^

^̂^

^

^^

^

^^

^

^

^^

^

^

^

^^

^

^

^̂̂

^

^^̂^

^ ^^ ^^̂̂

^

^

^

^

^

^

^^

^ ^̂^̂

^̂̂̂

^^

^

^^

^^̂̂̂ ^̂^̂

^

^

^

^

^

^^^

^̂^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^̂^

^

^^

^^

^^^̂̂^

^

^

^̂̂

^

^

^

^

^^^

^

^

^

^^^

^

^ ^

^

^

^^

^

^

^̂̂

^

^^

^ ^̂

^

^

^̂̂̂̂

^^

^

^

^^

^̂̂

^

^

^

^

^

^

^

^

^

^^

^

^^

^^

^

^

^

^^̂

^̂̂

^

^

^^

^

^^

^

^^

^^^

^

^

^

^̂̂

^̂̂̂

^^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^̂̂^^

^

^̂̂

^ ^̂

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^̂̂

^

^

^

^

^

^

^

^

^ ^

^̂̂̂̂̂

^

^

^

^

^̂̂

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^^

^ ^

^^

^

^

^

^^

^

^

^

^

^

^

^^

^

^

^^

^

^

^

^

^^^^

^

^

^

^^^

^^^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^̂^

^

^

^

^

^̂̂̂

^^

^

^

^

^

^

^

^

^

^̂̂^ ^

^^̂̂

^

^

^

^

^

^^ ^̂^

^

^̂^̂

^^

^

^

^

^

^̂^

^

^

^

^

^

^

^̂^

^^̂̂̂

^

^

^^

^

^

^

^

^̂̂

^

^

^^ ^

^

^

^^

^

^

^

^^̂

^

^

^

^

^

^

^^

^

^̂̂

^̂̂^

^

^^

^^̂

^

^

^^

^

^

^

^

^

^^̂

^

^

^̂̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^ ^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^ ^

^

^^̂

^

^̂̂

^

^ ^

^^

^

^

^

^

^

^

^

^

^̂̂

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^^

^

^^

^^̂̂̂

^

^^

^^̂̂

^

^

^

^

^

^

^̂^

^

^̂^̂^

^^^

^̂̂̂^̂̂̂^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^ ^

^

^

^^

^

^

^

^

^

^^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂^̂̂̂

^

^^̂̂̂̂^ ^̂̂^̂̂̂̂

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^̂̂̂̂̂^̂

^^̂̂̂

^^̂

^

^

^

^

^^

^

^

^

^̂^

^

^

^

^

^

^

^

^ ^̂̂̂

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^^

^

^

^

^

^ ^

^̂̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂

^

^

^

^

^

^

^^

^

^^

^

^

^

^^

^^̂

^

^^

^

^^

^

^^

^

^̂̂

^

^

^

^

^

^

^^

^

^

^

^

^^̂ ^

^^

^

^̂^

^

^^

^

^

^

^^̂̂̂̂^ ^

^

^

^

^

^

^

^

^

^

^̂ ^

^

^^

^^

^ ^

^^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂^

^^

^^

^

^

^

^^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^^

^

^

^

^

^

^^

^

^

^

^

^

^

^^

^

^

^^^

^ ^

^

^̂̂̂

^

^

^

^

^

^

^^

^

^̂̂^^

^

^

^^

^

^^ ^

^

^̂̂

^

^

^̂^

^^

^^

^

^

^

^

^

^

^

^

^

^̂̂̂^^

^

^

^

^^

^̂̂

^

^

^ ^

^

^

^

^

^ ^̂̂^ ^^ ^̂

^

^

^̂̂^̂̂ ^

^^^

^

^^^

^

^

^^^

^̂̂̂̂ ^̂

^

^^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂^

^

^

^^

^

^^

^

^

^

^

^

^

^

^̂̂

^̂̂̂̂

^^^̂

^

^

^^

^

^^

^^

^

^

^^^

^

^

^̂^

^̂̂̂̂̂̂

^^^

^

^̂̂̂̂̂̂̂̂̂

^

^̂̂̂̂̂

^̂^

^̂̂̂̂̂̂̂^

^̂̂̂̂̂̂^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂

^

^

^

^^̂

^^̂̂^̂

^̂̂̂̂̂̂̂̂̂̂

^

^̂̂̂

^

^̂^

^̂̂̂^

^̂^

^

^

^

^̂̂

^̂̂

^^

^ ^

^̂̂̂̂̂̂̂̂̂̂̂̂^^

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂

^̂̂

^̂̂̂̂̂̂̂̂

^

^̂̂̂

^

^

^^

^^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂^

^̂̂

^

^̂̂̂̂̂̂^

^̂̂̂̂̂̂

^

^̂̂̂

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂

^

^̂̂̂̂̂̂^

^

^̂̂̂̂̂

^

^̂̂

^

^̂̂

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂^

^^

^

^^

^

^

^

^̂̂̂̂̂

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂^̂

^

^

^

^̂̂̂̂̂̂̂̂̂̂̂

^

^̂̂̂̂̂̂^

^

^

^^

^

^

^̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂̂

^

^̂̂̂

^^

^

^

^̂̂̂̂^

^^

^̂̂̂̂̂

^

^

^

^

^̂̂

^

^

^

^^

^̂̂̂

^

^

^̂̂̂

^

^̂^

^

^

^

^

^

^

^

^

^

^

^

^^^̂̂̂̂̂^^̂

^

^

^

^

^^

^^

^

^

^

^

^

^

^

^

^

^̂^

^ ^̂̂

^

^

^

^

^

^

^

^

^

^^ ^

^

^^

^

^

^^

^

^

^

^ ^

^^

^

^

^

^^

^

^

^

^̂̂̂̂

^

^

^

^

^

^

^^̂̂̂̂̂

^

^̂̂

^

^̂̂

^

^̂̂̂̂̂̂^

^

^

^

^

^

^

^

^

^

^ ^̂

^

^

^

^

^

^

^^

^

^^̂

^

^̂^

^̂̂

^

^

^^̂

^^̂

^

^̂̂

^

^̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^̂^̂

^̂̂̂

^^

^

^

^

^

^

^^

^

^

^̂̂̂

^

^

^̂̂̂

^

^^

^

^^̂

^

^^̂̂

^^

^

^

^

^

^

^

^

^

^

^

^̂̂

^

^

^^

^̂̂

^̂^

^

^

^^

^

^

^

^

^^^̂

^

^

^

^

^

^

^̂̂

^

^

^^

^

^^^

^

^^

^

^

^^̂̂

^

^̂̂

^

^

^

^

^

^

^

^

^

^

^^

^̂̂̂̂̂

^

^^

^

^^̂

^

^^

^

^

^^

^

^

^

^̂̂̂

^

^

^

^^^

^

^̂̂

^

^̂̂

^

^

^

^

^

^̂^̂

^̂^̂

^

^

^^

^^

^

^

^̂̂

^

^

^

^

^

^

^

^

^̂̂

^

^

^

^

^^

^

^

^

^

^^

^

^

^

^

^^̂

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^̂^̂

^

^̂̂^̂

^

^^̂̂

^

^

^

^̂̂̂^

^

^^

^

^

^

^̂̂

^

^

^

^

^

^̂^̂

^

^

^

^

^

^

^̂̂^̂

^

^

^̂^

^

^ ^^

^^

^

^

^

^

^̂^̂̂

^^

^̂̂

^

^

^

^

^

^

^

^

^^

^

^^

^

^^

^^̂

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^̂̂̂̂

^^

^̂̂

^

^

^^̂̂

^

^^

^

^

^̂^

^

^

^^

^

^

^

^

^

^

^

^̂^

^

^

^

^

^^

^

^^̂

^

^

^

^^

^

^

^

^

^

^

^ ^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^ ^

^

^

^

^

^

^̂̂

^

^

^

^

^

^

^

^

^

^̂^

^

^

^^

^

^

^

^

^^

^^̂̂

^

^

^

^

^

^^^^

^̂̂

^^^̂̂̂

^

^

^

^

^

^

^

^^

^^

^

^

^

^

^

^

^

^

^

^^

^

^̂̂

^^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^ ^

^

^

^

^

^

^

^^

^̂^

^

^^^

^

^

^ ^

^

^

^^^ ^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^̂^

^

^

^^

^^

^

^

^

^

^

^

^

^^

^ ^

^

^

^

^^

^

^

^

^^

^

^^

^

^

^

^

^

^^

^

^̂^

^^

^

^

^

^

^

^

^̂̂̂̂̂̂̂

^

^

^̂̂

^

^

^

^

^^

^

^̂̂

^

^

^

^

^̂̂

^^

^̂̂̂̂

^

^

^

^

^

^̂̂

^

^̂̂̂̂̂̂̂̂

^

^^

^̂̂

^

^

^̂̂

^

^

^

^

^

^

^̂̂

^

^̂̂

^

^

^

^

^̂̂̂

^

^

^

^

^̂̂

^

^

^

^̂̂

^

^^

^̂̂

^

^

^

^

^^

^

^̂̂

^

^

^

^̂̂̂

^

^

^

^̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂

^

^

^

^

^

^^̂̂̂̂̂

^

^̂̂̂̂̂

^

^

^

^̂̂̂

^̂̂

^

^̂̂̂

^

^

^

^^

^̂̂

^̂̂̂̂̂

^

^

^

^

^

^^̂

^

^̂̂̂

^

^

^̂̂̂

^

^̂̂̂

^

^

^

^ ^̂̂̂̂^^̂

^

^̂̂

^̂̂

^

^

^

^̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂̂̂̂^

^̂̂̂̂̂̂̂̂̂̂̂^

^^̂̂̂̂

^

^

^

^

^̂̂̂̂̂̂

^

^^ ^̂̂

^

^^

^

^^^̂̂̂

^

^̂̂̂

^

^

^

^

^

^̂̂̂̂̂

^

^

^

^

^̂̂

^

^

^̂̂^ ^̂

^

^̂̂̂̂̂̂

^

^

^

^

^

^̂̂̂

^

^

^

^̂̂^^

^

^

^

^

^

^

^^̂̂̂̂̂

^

^

^

^̂̂̂̂̂^ ^̂

^

^

^

^^

^

^

^̂̂̂̂̂

^

^̂̂

^

^̂̂

^̂ ^

^̂̂̂̂^

^

^

^

^

^

^̂^

^

^

^^̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^^

^

^̂^

^ ^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^^

^^

^

^

^

^̂̂^

^^

^

^ ^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^̂^

^

^

^

^^ ^

^^

^

^^̂

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^ ^

^

^

^

^^

^ ^

^

^

^

^

^

^

^

^

^

^

^^ ^

^̂̂

^

^

^

^

^

^ ^

^

^

^

^

^

^

^

^

^

^

^

^̂^ ^

^

^

^

^

^

^

^ ^

^

^

^

^^

^

^

^

^

^

^

^ ^

^

^^

^

^

^^^

^̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^̂̂

^

^

^

^

^

^

^

^^

^̂̂

^

^

^

^

^

^

^^

^

^

^

^

^

^

^

^

^̂ ^^

^

^

^

^

^

^̂^^ ^̂̂

^

^

^̂̂̂

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^^̂

^

^

^

^^

^

^̂̂̂̂̂^̂̂̂̂̂̂

^

^

^

^

^

^

^

^̂^

^

^

^

^^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂

^

^

^^

^

^

^

^

^

^

^

^

^^

^^

^

^

^ ^̂

^

^^ ^

^

^^̂

^^ ^

^

^

^

^

^

^̂̂̂^ ^̂^

^^^

^

^ ^^ ^̂̂̂̂^̂^̂̂^

^

^̂̂

^

^

^

^

^^

^^

^

^

^^

^̂̂^^ ^

^

^ ^

^

^

^

^

^̂̂

^

^

^

^

^ ^

^^

^

^

^

^

^̂̂

^

^^^

^

^^^^

^^

^

^

^

^

^

^

^̂̂

^̂̂̂

^^

^

^ ^

^̂̂

^

^̂̂

^

^

^

^

^^

^

^

^̂̂

^^ ^

^

^

^

^

^

^ ^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^̂̂̂̂

^

^

^

^

^̂̂̂̂̂̂̂

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^

^^

^

^

^̂̂

^

^

^

^̂^

^

^

^̂̂

^

^

^̂̂

^^

^

^

^

^

^

^

^

^

^̂̂

^^^

^

^

^^^̂

^̂̂

^

^^

^

^

^

^

^

^^

^^

^^

^̂^^^

^

^

^

^ ^

^

^

^

^

^

^

^

^

^

^̂̂̂̂̂

^^ ^

^ ^̂

^^

^

^^^^

^

^^

^

^^

^^̂

^

^

^

^

^

^^^^

^

^̂^

^̂̂^̂

^

^

^

^^

^

^

^

^

^

^

^

^̂^

^^

^

^̂̂

^

^

^

^

^^

^

^

^

^

^

^

^^

^

^

^^^

^

^

^

^

^

^

^^^

^

^

^

1632000

1632000

1634000

1634000

670

000

0

670

000

0

0 10,5 km

From GSD-Terrängkartan © LantmäteriverketGävle 2001, Consent M2001/52682004-xx-xx 00:00

1632000

1632000

1634000

1634000

670

000

0

670

000

0

0 10,5 km

From GSD-Terrängkartan © LantmäteriverketGävle 2001, Consent M2001/52682004-xx-xx 00:00

Lake

Lake

Lake

Mire

Mire

Mire

Mire

Mire

Coast

Forest

RunningWater

Coast

Mire

+

+

+

+

++

 

Page 42: Protection of the public and the environment standards? Rodolfo Avila.

Dose Distribution

10-14

10-13

10-12

10-11

10-10

0107

1000

2000

3000

4000

5000

6000

5 25 4 9 14 8

6

10

13 24 7 21

18 26 15

12 19 20

11

17

16 22 3 2

23

Dose, Sv/y per Bq/y

N

ID5 (0.1) mire

ID25

(0.1) runwat

ID4 (4.1) coast

ID9 (78.6) agriland

ID14

(6.0) lake

ID8 (304.2) agriland

ID6 (234.6) agriland

ID10

(226.7) agriland

ID13

(2.8) lake

ID24

(0.1) runwat

ID7 (87.8) agriland

ID21

(145.1) agriland

ID18

(109.5) agriland

ID26

(0.4) runwat

ID15

(141.6) agriland

ID12

(169.7) agriland

ID19

(88.4) agriland

ID20

(279.1) agriland

ID11

(258.2) agriland

ID17

(763.9) agriland

ID16

(55.7) agriland

ID22

(0.0) runwat

ID3 (82.9) coast

ID2 (1070.0) coast

ID23

(0.3) runwat

max/10 (3e-012)

max (3e-011)N (107)

Page 43: Protection of the public and the environment standards? Rodolfo Avila.

Selecting the appropriate type of standard

ReleasesC

onta

min

atio

n

Exposure of Man

Exposure of biota

Effects of Man

Effects on biota

Release rate Concentrations Dose rates, doses probability of effects

Total releases Affected area Collective dose number of effects

Page 44: Protection of the public and the environment standards? Rodolfo Avila.

Measuring Risk with Probabilistic Standards

0

0.02

0.04

0.06

0.08

0.1

0.12

0 15 30 45

Page 45: Protection of the public and the environment standards? Rodolfo Avila.

Measuring Risk

• Risk is the probability that the Exposure is above the Standard

• The Risk Quotient

RQ = Exposure/Standard

Page 46: Protection of the public and the environment standards? Rodolfo Avila.

Risk Profile

0

0.5

1

1.5

2

2.5

3

0 0.625 1.25 1.875 2.5

1