A Multiple regression Model 367 A Multiple regression model to Predict Zebra mussel population Growth Michael p. schubmehl Marcy A. la violette Deborah a chun Harvey Mudd College Claremont. ca 91711 Advisor: Michael E. Moody Summary Zebra mussels(Dreissena polymorpha) are an invasive mollusk accidentally troduced to the united States by transatlantic ships during the mid-1980s Because the mussels have few natural predators and adapt quickly to new envi- ronments, they have spread quickly from the great lakes into many connected waterways. Although the mussel is hardy, sometimes little or no growth is observed in lakes to which it has been introduced extensive research indicates that the chemical concentrations in these bodies of water may be unsuitable for the mussels To quantify the relationship between chemical contents and mussel popu lation growth, we first use the logistic equation, dy y to model Dreissena population as a function of time. After modeling growth rates under a variety of conditions, we used multiple regression to determine which chemicals affect this growth rate. An extensive literature search sup- ported our findings that population growth is linearly dependent on two pri- mary factors: calcium concentration and pH. After further refining our model using the second set of data from Lake A, we obtained the regression equation maximum growth rate=2338[Ca2++39202 pH-334089 The UMAP Journal22(4)(2001)367-383. Copyright 2001 by COMAP, Inc. All rights reserved Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice. Abstracting with credit is permitted, but copyrights for components of this work owned by others than COMAP must be honored To copy otherwise to republish, to post on servers, or to redistribute to lists requires prior permission from COMAPA Multiple Regression Model 367 A Multiple Regression Model to Predict Zebra Mussel Population Growth Michael P. Schubmehl Marcy A. LaViollette Deborah A. Chun Harvey Mudd College Claremont, CA 91711 Advisor: Michael E. Moody Summary Zebra mussels (Dreissena polymorpha) are an invasive mollusk accidentally introduced to the United States by transatlantic ships during the mid-1980s. Because the mussels have few natural predators and adapt quickly to new envi￾ronments, they have spread quickly from the Great Lakes into many connected waterways. Although the mussel is hardy, sometimes little or no growth is observed in lakes to which it has been introduced; extensive research indicates that the chemical concentrations in these bodies of water may be unsuitable for the mussels. To quantify the relationship between chemical contents and mussel popu￾lation growth, we first use the logistic equation, dy dt = ry 1 − y K , to model Dreissena population as a function of time. After modeling growth rates under a variety of conditions, we used multiple regression to determine which chemicals affect this growth rate. An extensive literature search sup￾ported our findings that population growth is linearly dependent on two pri￾mary factors: calcium concentration and pH. After further refining our model using the second set of data from Lake A, we obtained the regression equation maximum growth rate = 2338 [Ca2+] + 39202 pH − 334089, The UMAP Journal 22 (4) (2001) 367–383.
c Copyright 2001 by COMAP, Inc. All rights reserved. Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice. Abstracting with credit is permitted, but copyrights for components of this work owned by others than COMAP must be honored. To copy otherwise, to republish, to post on servers, or to redistribute to lists requires prior permission from COMAP.