Return Home

As a preliminary note, please be aware that all input parameters are entirely order-dependent. In other words, if you input 1, 2, and 3 for your mu values, with 4, 5, and 6 as your Ks values, 1 is associated with 4, 2 with 5, etc. This applies to the Mu, Ks, Q, S, and N0 values. This becomes extremely important when generating R* plots, and a reminder of this is also given in the section for R* plots below.  When creating a graph of Population with Variable Mumax (population growth rate) Values, all Q and Ks values must be the SAME for an accurate model. There must be exactly one Q and Ks for each Mu.
Note the use of scientific notation (E-8) for easier inputs.  When creating a graph of Population with Variable KS (resource consumption rate) Values, all Q and Ks values must again be the same for an accurate model. As with the previous graph, there must be exactly one Q and Ks for each Mu.  When creating a graph of Population with n-species in competition, there must again be exactly one Q and Ks for each Mu. However, the starting population count (N0) must be provided for each species (Mu value) and there must be exactly one S value for an accurate model BECAUSE there is only one nutrient (Ks value) in the system.  When creating a graph of Reproductive Rate vs. Resource Concentration, the inputs are the same as with the previous graph (n-species competition).  These example inputs are applicable when creating each of the first three R* plot check boxes. NOTE: For each of these three graph types, there must be EXACTLY 2 mu values and there must be the same number of Q and Ks values for each Mu. Given the one-dimensional configuration of these text boxes, the Q and Ks values MUST be entered in a specific manner. If, for example, 3, 4, 5, and 6 are your Ks values, 3 and 5 correspond to species 1, and 4 and 6 correspond to species 2. This pattern continues for any number of Ks and also applies to Q values as well.
The graph immediately above this text is an intermediate R* plot where a single species exists in a system with 2 nutrients.If either resource 1 or resource 2 becomes sufficiently depleted, the phytoplankton can no longer survive.

The two graphs below are another intermediate R* plot (left) and the final R* plot (right), which shows the optimal resource concentrations at which these two species may coexist.    The above graphs are generated using the same data as the first three R* plot check boxes, so their input paramters must satisfy the same constraints for an accurate model. Notice that by checking the box for this option, you are getting two graphs for the price of one!  This final graph option is simply an R* plot that models coexistence with 3 species instead of 2. The input paramters for this graph follow the same pattern as with the previous R* plots, except that there must be 3 species and every third Q and Ks value corresponds to the same species.