Atlantis operating model equations



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Atlantis Model Equations for the Biological Submodel

ATLANTIS OPERATING MODEL EQUATIONS

Table 1: List of main terms used in the equations in this appendix. All terms, variables, constants and expressions are defined in the relevant sections, but this table may be a useful quick reference for the main terms and conventions.

Term

Meaning

E

Excretion (ammonia produced by a consumer)

F

Fishing (catch)

G

Growth

M

Mortality

P

Uptake

R

Remineralisation

S

Sediment chemistry (nitrification or denitrification, the subscript will denote which on a case-by-case basis)

W

Waste (detritus produced by a consumer)

XX

All doubles (and triples) refer to components of the model (see Tables 4.2 and 4.4 for definitions). They do not represent multiplications at any time and any multiplications will be explicitly denoted by a ā€œ.ā€.

Note that the due to the large number of symbols needed to describe the many equations that make up the operating model, some symbols have had to be reused with sub or superscripts to differentiate between their multiple meanings. Also please consider the symbols here in isolation to those used elsewhere in the report (in the equations or discussion of the sampling model and indicators) as the reuse of symbols does not mean they represent the same thing in the different parts of the report ā€“ where this is the case it is specifically stated. I have tried to keep this reuse and potential confusion to a minimum and where it has been necessary to do it as logical as possible, Iā€™m sorry for any inconvenience or confusion this may cause.


1 Rate of change equations

1.1 Autotrophs

Rate of change for standard water column primary producer (PX):



(C.1)

(C.2)

Where GPX stands for the growth of PX, Mlys,PX is the loss of PX due to lysis, Mnat,PX is the natural mortality losses of PX when in the sediments and PPX,I are the losses of PX due to predation. The equations for the benthic primary producers are slightly different. The rate of change of microphytobenthos is given by:



(C.3)

(C.4)

The macrophytes (MX) are restricted to the epibenthic layer and have no water column or sediment pools. The general form of their rate of change is as follows:



(C.5)


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