1 Introduction

1.1 Preliminary considerations

1.2 The General Equation

1.3 Approach

2 Static reference frame

2.1 Test production

2.2 Test loss

2.3 Concommitant production and loss

3 Burial

3.1 The burial term

3.2 Test production with burial

3.3 Test loss with burial

3.4 Test production and loss with bural

4 Steady-state models

4.1 The steady-state assumption

5 Bioturbation

5.1. The mixing term

6 Appendix

6.1. Static frame production and loss solution

To include

1 Introduction

1.1 Preliminary considerations

Change relative to a single layer versus change relative to surface

Environmental change versus dynamical assemblage forming process

Steady state

Burial as advection

experiments versus data and parameter fitting

1.2 The General Equation

1.3 Approach

model assumptions - model only valid as assumptions; assumptions may be necessary due to available data

Analytic and numerical solutions

Python

Explain maths and coding to non-maths audience

2 Static reference frame

2.1 Test production

Test accumulation is integral of rate through time (ignoring loss)

2.2 Test loss

On its own, just an exponential decay

2.3 Concommitant production and loss

Feedback and steady state is emergent

3 Burial

3.1 The burial term

Changes reference frame from static to advecting

Sedimentation rate scales time through depth

3.2 Test production with burial

Test accumulation proprtional to depth integrated standing crop

Affect of infaunal production, particualrly stratified community

Depth dependency of R

Buzas example

Affect of sedimntation rate - "residence time" of layer for accumulation

3.3 Test loss with burial

Exponential decay

Affect of sedimntation rate - "residence time" of layer for decay

3.4 Test production and loss with burial

Affect of sedimentation rate - limited by decay feedback

  1. Steady-state models

4.1 The steady-state assumption

Shortcut to steady states described earlier

Vance example

  1. Bioturbation

5.1. The mixing term

Hippensteel example

  1. Appendix

6.1. Static frame production and loss solution


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